[2578] | 1 | MODULE eosbn2_tam |
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| 2 | !!============================================================================== |
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| 3 | !! *** MODULE eosbn2_tam *** |
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| 4 | !! Ocean diagnostic variable : equation of state - in situ and potential density |
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| 5 | !! - Brunt-Vaisala frequency |
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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 | !! OPA ! 1989-03 (O. Marti) Original code |
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| 10 | !! 6.0 ! 1994-07 (G. Madec, M. Imbard) add bn2 |
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| 11 | !! 6.0 ! 1994-08 (G. Madec) Add Jackett & McDougall eos |
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| 12 | !! 7.0 ! 1996-01 (G. Madec) statement function for e3 |
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| 13 | !! 8.1 ! 1997-07 (G. Madec) density instead of volumic mass |
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| 14 | !! - ! 1999-02 (G. Madec, N. Grima) semi-implicit pressure gradient |
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| 15 | !! 8.2 ! 2001-09 (M. Ben Jelloul) bugfix on linear eos |
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| 16 | !! NEMO 1.0 ! 2002-10 (G. Madec) add eos_init |
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| 17 | !! - ! 2002-11 (G. Madec, A. Bozec) partial step, eos_insitu_2d |
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| 18 | !! - ! 2003-08 (G. Madec) F90, free form |
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| 19 | !! 3.0 ! 2006-08 (G. Madec) add tfreez function |
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| 20 | !! ! 2003-09 (M. Balmaseda) compute refrence rho prof |
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| 21 | !! History of the TAM Module : |
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| 22 | !! 8.2 ! 2005-03 (F. Van den Berghe, A. Weaver, N. Daget) |
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| 23 | !! - eostan.F |
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| 24 | !! 9.0 ! 2007-07 (K. Mogensen) Initial version based on eostan.F |
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| 25 | !! ! 2008-07 (A. Vidard) bug fix in computation of prd_tl if neos=1 |
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| 26 | !! ! 2008-11 (A. Vidard) TAM of the 06-08 version |
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| 27 | !! NEMO 3.2 ! 2010-04 (F. Vigilant) version 3.2 |
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| 28 | !!---------------------------------------------------------------------- |
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| 29 | |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | !! Direct subroutines |
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| 32 | !! eos : generic interface of the equation of state |
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| 33 | !! eos_insitu : Compute the in situ density |
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| 34 | !! eos_insitu_pot : Compute the insitu and surface referenced potential |
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| 35 | !! volumic mass |
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| 36 | !! eos_insitu_2d : Compute the in situ density for 2d fields |
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| 37 | !! eos_insitu_pot_1pt : Compute the in situ density for a single point |
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| 38 | !! eos_bn2 : Compute the Brunt-Vaisala frequency |
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| 39 | !! tfreez : Compute the surface freezing temperature (NOT IN TAM) |
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| 40 | !! eos_init : set eos parameters (namelist) |
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| 41 | !! eos_rprof : Compute the in situ density of a reference profile |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | !! * Modules used |
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| 44 | #if defined key_zdfddm |
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| 45 | USE oce_tam , ONLY: & |
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| 46 | & rrau_tl, & |
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| 47 | & rrau_ad |
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| 48 | #endif |
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| 49 | USE dom_oce , ONLY: & ! ocean space and time domain |
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| 50 | & tmask, & |
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| 51 | & e1t, & |
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| 52 | & e2t, & |
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| 53 | #if defined key_zco |
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| 54 | & e3t_0, & |
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| 55 | & e3w_0, & |
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| 56 | & gdept_0, & |
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| 57 | & gdepw_0, & |
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| 58 | #else |
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| 59 | & e3t, & |
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| 60 | & e3w, & |
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| 61 | & gdept, & |
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| 62 | & gdepw, & |
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| 63 | #endif |
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| 64 | & mig, & |
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| 65 | & mjg, & |
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| 66 | & nperio, & |
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| 67 | & nldi, & |
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| 68 | & nldj, & |
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| 69 | & nlei, & |
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| 70 | & nlej |
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| 71 | USE par_kind , ONLY: & |
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| 72 | & wp |
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| 73 | USE par_oce , ONLY: & |
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| 74 | & jpi, & |
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| 75 | & jpj, & |
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| 76 | & jpk, & |
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| 77 | & jpim1, & |
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| 78 | & jpjm1, & |
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| 79 | & jpkm1, & |
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| 80 | & jpiglo |
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| 81 | USE oce , ONLY: & |
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| 82 | & tn, & |
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| 83 | & sn |
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| 84 | USE phycst , ONLY: & ! physical constants |
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| 85 | & rau0, & |
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| 86 | & grav |
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| 87 | USE in_out_manager, ONLY: & ! I/O manager |
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| 88 | & lwp, & |
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| 89 | & ctmp1, & |
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| 90 | & numout, & |
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| 91 | & ctl_stop |
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| 92 | #if defined key_zdfddm |
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| 93 | USE zdfddm ! vertical physics: double diffusion |
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| 94 | #endif |
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| 95 | USE eosbn2 , ONLY: & |
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| 96 | & eos_init, & |
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| 97 | & neos_init, & |
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| 98 | & nn_eos, & |
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| 99 | & rn_alpha, & |
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| 100 | & rn_beta, & |
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| 101 | & ralpbet |
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| 102 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 103 | & grid_random |
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| 104 | USE dotprodfld , ONLY: & ! Computes dot product for 3D and 2D fields |
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| 105 | & dot_product |
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| 106 | USE tstool_tam , ONLY: & |
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| 107 | & prntst_adj, & |
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| 108 | & prntst_tlm, & ! |
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| 109 | & stds, & |
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| 110 | & stdt |
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| 111 | IMPLICIT NONE |
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| 112 | PRIVATE |
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| 113 | |
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| 114 | !! * Interface |
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| 115 | INTERFACE eos_tan |
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| 116 | MODULE PROCEDURE eos_insitu_tan, eos_insitu_pot_tan, eos_pot_1pt_tan, eos_insitu_2d_tan |
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| 117 | END INTERFACE |
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| 118 | INTERFACE eos_adj |
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| 119 | MODULE PROCEDURE eos_insitu_adj, eos_insitu_pot_adj, eos_pot_1pt_adj, eos_insitu_2d_adj |
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| 120 | END INTERFACE |
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| 121 | INTERFACE bn2_tan |
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| 122 | MODULE PROCEDURE eos_bn2_tan |
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| 123 | END INTERFACE |
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| 124 | INTERFACE bn2_adj |
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| 125 | MODULE PROCEDURE eos_bn2_adj |
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| 126 | END INTERFACE |
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| 127 | |
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| 128 | !! * Routine accessibility |
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| 129 | PUBLIC eos_tan ! called by step.F90, inidtr.F90, tranpc.F90 and intgrd.F90 |
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| 130 | PUBLIC bn2_tan ! called by step.F90 |
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| 131 | PUBLIC eos_adj ! called by step.F90, inidtr.F90, tranpc.F90 and intgrd.F90 |
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| 132 | PUBLIC bn2_adj ! called by step.F90 |
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| 133 | #if defined key_tam |
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| 134 | PUBLIC eos_adj_tst |
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| 135 | PUBLIC bn2_adj_tst |
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| 136 | #if defined key_tst_tlm |
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| 137 | PUBLIC eos_tlm_tst |
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| 138 | PUBLIC bn2_tlm_tst |
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| 139 | #endif |
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| 140 | #endif |
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| 141 | |
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| 142 | |
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| 143 | !! * Substitutions |
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| 144 | # include "domzgr_substitute.h90" |
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| 145 | # include "vectopt_loop_substitute.h90" |
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| 146 | |
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| 147 | CONTAINS |
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| 148 | |
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| 149 | SUBROUTINE eos_insitu_tan( ptem, psal, ptem_tl, psal_tl, prd_tl ) |
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| 150 | !!----------------------------------------------------------------------- |
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| 151 | !! |
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| 152 | !! *** ROUTINE eos_insitu_tan : TL OF ROUTINE eos_insitu *** |
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| 153 | !! |
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| 154 | !! ** Purpose of direct routine : Compute the in situ density |
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| 155 | !! (ratio rho/rau0) from potential temperature and salinity |
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| 156 | !! using an equation of state defined through the namelist |
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| 157 | !! parameter nn_eos. |
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| 158 | !! |
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| 159 | !! ** Method of direct routine : 3 cases: |
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| 160 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
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| 161 | !! the in situ density is computed directly as a function of |
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| 162 | !! potential temperature relative to the surface (the opa t |
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| 163 | !! variable), salt and pressure (assuming no pressure variation |
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| 164 | !! along geopotential surfaces, i.e. the pressure p in decibars |
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| 165 | !! is approximated by the depth in meters. |
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| 166 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
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| 167 | !! with pressure p decibars |
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| 168 | !! potential temperature t deg celsius |
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| 169 | !! salinity s psu |
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| 170 | !! reference volumic mass rau0 kg/m**3 |
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| 171 | !! in situ volumic mass rho kg/m**3 |
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| 172 | !! in situ density anomalie prd no units |
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| 173 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
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| 174 | !! t = 40 deg celcius, s=40 psu |
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| 175 | !! nn_eos = 1 : linear equation of state function of temperature only |
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| 176 | !! prd(t) = 0.0285 - rn_alpha * t |
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| 177 | !! nn_eos = 2 : linear equation of state function of temperature and |
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| 178 | !! salinity |
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| 179 | !! prd(t,s) = rn_beta * s - rn_alpha * tn - 1. |
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| 180 | !! Note that no boundary condition problem occurs in this routine |
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| 181 | !! as (ptem,psal) are defined over the whole domain. |
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| 182 | !! |
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| 183 | !! ** Comments on Adjoint Routine : |
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| 184 | !! Care has been taken to avoid division by zero when computing |
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| 185 | !! the inverse of the square root of salinity at masked salinity |
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| 186 | !! points. |
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| 187 | !! |
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| 188 | !! * Arguments |
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| 189 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
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| 190 | & ptem, & ! potential temperature |
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| 191 | & psal, & ! salinity |
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| 192 | & ptem_tl, & ! TL of potential temperature |
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| 193 | & psal_tl ! TL of salinity |
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| 194 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out ) :: & |
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| 195 | & prd_tl ! TL of potential density (surface referenced) |
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| 196 | !! * Local declarations |
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| 197 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 198 | REAL(wp) :: & ! temporary scalars |
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| 199 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
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| 200 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
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| 201 | zttl, zstl, zhtl, zsrtl, zr1tl, zr2tl, zr3tl, & |
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| 202 | zr4tl, zrhoptl, zetl, zbwtl, & |
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| 203 | zbtl, zdtl, zctl, zawtl, zatl, zb1tl, za1tl, & |
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| 204 | zkwtl, zk0tl, zpes, zrdc1, zrdc2, zeps, & |
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| 205 | zmask, zrau0r |
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| 206 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
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| 207 | !!---------------------------------------------------------------------- |
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| 208 | |
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| 209 | SELECT CASE ( nn_eos ) |
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| 210 | |
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| 211 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
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| 212 | zrau0r = 1.e0 / rau0 |
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| 213 | #ifdef key_sp |
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| 214 | zeps = 1.e-7 |
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| 215 | #else |
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| 216 | zeps = 1.e-14 |
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| 217 | #endif |
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| 218 | |
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| 219 | !CDIR NOVERRCHK |
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| 220 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
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| 221 | ! |
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| 222 | DO jk = 1, jpkm1 |
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| 223 | DO jj = 1, jpj |
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| 224 | DO ji = 1, jpi |
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| 225 | zt = ptem(ji,jj,jk) |
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| 226 | zs = psal(ji,jj,jk) |
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| 227 | zh = fsdept(ji,jj,jk) ! depth |
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| 228 | zsr= zws(ji,jj,jk) ! square root salinity |
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| 229 | ! compute volumic mass pure water at atm pressure |
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| 230 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
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| 231 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
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| 232 | ! seawater volumic mass atm pressure |
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| 233 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
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| 234 | -4.0899e-3 ) *zt+0.824493 |
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| 235 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
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| 236 | zr4= 4.8314e-4 |
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| 237 | |
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| 238 | ! potential volumic mass (reference to the surface) |
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| 239 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
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| 240 | |
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| 241 | ! add the compression terms |
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| 242 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
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| 243 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
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| 244 | zb = zbw + ze * zs |
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| 245 | |
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| 246 | zd = -2.042967e-2 |
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| 247 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
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| 248 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
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| 249 | za = ( zd*zsr + zc ) *zs + zaw |
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| 250 | |
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| 251 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
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| 252 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
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| 253 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
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| 254 | zk0= ( zb1*zsr + za1 )*zs + zkw |
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| 255 | |
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| 256 | ! Tangent linear part |
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| 257 | |
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| 258 | zttl = ptem_tl(ji,jj,jk) |
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| 259 | zstl = psal_tl(ji,jj,jk) |
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| 260 | |
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| 261 | zsrtl= ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
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| 262 | & * tmask(ji,jj,jk) * zstl |
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| 263 | |
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| 264 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
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| 265 | & -4.*1.120083e-6 ) * zt & |
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| 266 | & +3.*1.001685e-4 ) * zt & |
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| 267 | & -2.*9.095290e-3 ) * zt & |
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| 268 | & + 6.793952e-2 ) * zttl |
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| 269 | |
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| 270 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
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| 271 | & -3.*8.2467e-7 ) * zt & |
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| 272 | & +2.*7.6438e-5 ) * zt & |
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| 273 | & - 4.0899e-3 ) * zttl |
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| 274 | |
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| 275 | zr3tl= ( -2.*1.6546e-6 * zt & |
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| 276 | & + 1.0227e-4 ) * zttl |
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| 277 | |
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| 278 | zrhoptl= zr1tl & |
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| 279 | & + zs * zr2tl & |
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| 280 | & + zsr * zs * zr3tl & |
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| 281 | & + zr3 * zs * zsrtl & |
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| 282 | & + ( 2. * zr4 * zs + zr2 & |
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| 283 | & + zr3 * zsr ) * zstl |
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| 284 | |
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| 285 | zetl = ( -2.*3.508914e-8 * zt & |
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| 286 | & - 1.248266e-8 ) * zttl |
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| 287 | |
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| 288 | zbwtl= ( 2.*1.296821e-6 * zt & |
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| 289 | & - 5.782165e-9 ) * zttl |
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| 290 | |
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| 291 | zbtl = zbwtl & |
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| 292 | & + zs * zetl & |
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| 293 | & + ze * zstl |
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| 294 | |
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| 295 | zctl = ( -2.*7.267926e-5 * zt & |
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| 296 | & + 2.598241e-3 ) * zttl |
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| 297 | |
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| 298 | zawtl= ( ( 3.*5.939910e-6 * zt & |
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| 299 | & +2.*2.512549e-3 ) * zt & |
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| 300 | & - 0.1028859 ) * zttl |
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| 301 | |
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| 302 | zatl = zawtl & |
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| 303 | & + zd * zs * zsrtl & |
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| 304 | & + zs * zctl & |
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| 305 | & + ( zd * zsr + zc ) * zstl |
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| 306 | |
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| 307 | zb1tl= ( -2.*0.1909078 * zt & |
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| 308 | & + 7.390729 ) * zttl |
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| 309 | |
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| 310 | za1tl= ( ( 3.*2.326469e-3 * zt & |
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| 311 | & +2.*1.553190 ) * zt & |
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| 312 | & - 65.00517 ) * zttl |
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| 313 | |
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| 314 | zkwtl= ( ( ( -4.*1.361629e-4 * zt & |
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| 315 | & -3.*1.852732e-2 ) * zt & |
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| 316 | & -2.*30.41638 ) * zt & |
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| 317 | & + 2098.925 ) * zttl |
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| 318 | |
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| 319 | zk0tl= zkwtl & |
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| 320 | & + zb1 * zs * zsrtl & |
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| 321 | & + zs * zsr * zb1tl & |
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| 322 | & + zs * za1tl & |
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| 323 | & + ( zb1 * zsr + za1 ) * zstl |
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| 324 | |
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| 325 | ! Masked in situ density anomaly |
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| 326 | |
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| 327 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
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| 328 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
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| 329 | |
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| 330 | prd_tl(ji,jj,jk) = tmask(ji,jj,jk) * zrdc2 * & |
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| 331 | & ( zrhoptl & |
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| 332 | & - zrdc2 * zh * zrdc1**2 * zrhop & |
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| 333 | & * ( zk0tl & |
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| 334 | & - zh * ( zatl & |
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| 335 | & - zh * zbtl ) ) )& |
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| 336 | & * zrau0r |
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| 337 | END DO |
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| 338 | END DO |
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| 339 | END DO |
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| 340 | ! |
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| 341 | CASE ( 1 ) !== Linear formulation function of temperature only ==! |
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| 342 | DO jk = 1, jpkm1 |
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| 343 | prd_tl(:,:,jk) = ( - rn_alpha * ptem_tl(:,:,jk) ) * tmask(:,:,jk) |
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| 344 | END DO |
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| 345 | ! |
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| 346 | CASE ( 2 ) !== Linear formulation function of temperature and salinity ==! |
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| 347 | |
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| 348 | ! ! =============== |
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| 349 | DO jk = 1, jpkm1 |
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| 350 | prd_tl(:,:,jk) = ( rn_beta * psal_tl(:,:,jk) - rn_alpha * ptem_tl(:,:,jk ) ) * tmask(:,:,jk) |
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| 351 | END DO |
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| 352 | ! |
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| 353 | END SELECT |
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| 354 | |
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| 355 | END SUBROUTINE eos_insitu_tan |
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| 356 | |
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| 357 | SUBROUTINE eos_insitu_pot_tan( ptem, psal, ptem_tl, psal_tl, prd_tl, prhop_tl) |
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| 358 | !!---------------------------------------------------------------------- |
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| 359 | !! *** ROUTINE eos_insitu_pot_tan *** |
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| 360 | !! |
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| 361 | !! ** Purpose or the direct routine: |
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| 362 | !! Compute the in situ density (ratio rho/rau0) and the |
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| 363 | !! potential volumic mass (Kg/m3) from potential temperature and |
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| 364 | !! salinity fields using an equation of state defined through the |
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| 365 | !! namelist parameter nn_eos. |
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| 366 | !! |
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| 367 | !! ** Method : |
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| 368 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
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| 369 | !! the in situ density is computed directly as a function of |
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| 370 | !! potential temperature relative to the surface (the opa t |
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| 371 | !! variable), salt and pressure (assuming no pressure variation |
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| 372 | !! along geopotential surfaces, i.e. the pressure p in decibars |
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| 373 | !! is approximated by the depth in meters. |
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| 374 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
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| 375 | !! rhop(t,s) = rho(t,s,0) |
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| 376 | !! with pressure p decibars |
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| 377 | !! potential temperature t deg celsius |
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| 378 | !! salinity s psu |
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| 379 | !! reference volumic mass rau0 kg/m**3 |
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| 380 | !! in situ volumic mass rho kg/m**3 |
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| 381 | !! in situ density anomalie prd no units |
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| 382 | !! |
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| 383 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
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| 384 | !! t = 40 deg celcius, s=40 psu |
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| 385 | !! |
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| 386 | !! nn_eos = 1 : linear equation of state function of temperature only |
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| 387 | !! prd(t) = ( rho(t) - rau0 ) / rau0 = 0.028 - rn_alpha * t |
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| 388 | !! rhop(t,s) = rho(t,s) |
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| 389 | !! |
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| 390 | !! nn_eos = 2 : linear equation of state function of temperature and |
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| 391 | !! salinity |
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| 392 | !! prd(t,s) = ( rho(t,s) - rau0 ) / rau0 |
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| 393 | !! = rn_beta * s - rn_alpha * tn - 1. |
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| 394 | !! rhop(t,s) = rho(t,s) |
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| 395 | !! Note that no boundary condition problem occurs in this routine |
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| 396 | !! as (tn,sn) or (ta,sa) are defined over the whole domain. |
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| 397 | !! |
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| 398 | !! ** Action : - prd , the in situ density (no units) |
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| 399 | !! - prhop, the potential volumic mass (Kg/m3) |
---|
| 400 | !! |
---|
| 401 | !! References : |
---|
| 402 | !! Jackett, D.R., and T.J. McDougall. J. Atmos. Ocean. Tech., 1994 |
---|
| 403 | !! Brown, J. A. and K. A. Campana. Mon. Weather Rev., 1978 |
---|
| 404 | !! |
---|
| 405 | !!---------------------------------------------------------------------- |
---|
| 406 | !! * Arguments |
---|
| 407 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 408 | ptem, & ! potential temperature |
---|
| 409 | psal ! salinity |
---|
| 410 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 411 | ptem_tl,& ! potential temperature |
---|
| 412 | psal_tl ! salinity |
---|
| 413 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out ) :: & |
---|
| 414 | prd_tl, & ! potential density (surface referenced) |
---|
| 415 | prhop_tl ! potential density (surface referenced) |
---|
| 416 | !! * Local declarations |
---|
| 417 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 418 | REAL(wp) :: & ! temporary scalars |
---|
| 419 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 420 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 421 | zttl, zstl, zhtl, zsrtl, zr1tl, zr2tl, zr3tl, & |
---|
| 422 | zr4tl, zrhoptl, zetl, zbwtl, & |
---|
| 423 | zbtl, zdtl, zctl, zawtl, zatl, zb1tl, za1tl, & |
---|
| 424 | zkwtl, zk0tl, zpes, zrdc1, zrdc2, zeps, & |
---|
| 425 | zmask, zrau0r |
---|
| 426 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
---|
| 427 | !!---------------------------------------------------------------------- |
---|
| 428 | |
---|
| 429 | SELECT CASE ( nn_eos ) |
---|
| 430 | |
---|
| 431 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 432 | zrau0r = 1.e0 / rau0 |
---|
| 433 | #ifdef key_sp |
---|
| 434 | zeps = 1.e-7 |
---|
| 435 | #else |
---|
| 436 | zeps = 1.e-14 |
---|
| 437 | #endif |
---|
| 438 | |
---|
| 439 | !CDIR NOVERRCHK |
---|
| 440 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
---|
| 441 | ! |
---|
| 442 | DO jk = 1, jpkm1 |
---|
| 443 | DO jj = 1, jpj |
---|
| 444 | DO ji = 1, jpi |
---|
| 445 | zt = ptem(ji,jj,jk) |
---|
| 446 | zs = psal(ji,jj,jk) |
---|
| 447 | zh = fsdept(ji,jj,jk) ! depth |
---|
| 448 | zsr = zws(ji,jj,jk) ! square root salinity |
---|
| 449 | ! compute volumic mass pure water at atm pressure |
---|
| 450 | zr1 = ( ( ( ( 6.536332e-9 * zt - 1.120083e-6 ) * zt & |
---|
| 451 | & + 1.001685e-4 ) * zt - 9.095290e-3 ) * zt & |
---|
| 452 | & + 6.793952e-2 ) * zt + 999.842594 |
---|
| 453 | ! seawater volumic mass atm pressure |
---|
| 454 | zr2 = ( ( ( 5.3875e-9 * zt - 8.2467e-7 ) * zt & |
---|
| 455 | & + 7.6438e-5 ) * zt - 4.0899e-3 ) * zt & |
---|
| 456 | & + 0.824493 |
---|
| 457 | zr3 = ( -1.6546e-6 * zt + 1.0227e-4 ) * zt - 5.72466e-3 |
---|
| 458 | zr4 = 4.8314e-4 |
---|
| 459 | |
---|
| 460 | ! potential volumic mass (reference to the surface) |
---|
| 461 | zrhop= ( zr4 * zs + zr3 * zsr + zr2 ) * zs + zr1 |
---|
| 462 | |
---|
| 463 | ! add the compression terms |
---|
| 464 | ze = ( -3.508914e-8 * zt - 1.248266e-8 ) * zt - 2.595994e-6 |
---|
| 465 | zbw = ( 1.296821e-6 * zt - 5.782165e-9 ) * zt + 1.045941e-4 |
---|
| 466 | zb = zbw + ze * zs |
---|
| 467 | |
---|
| 468 | zd = -2.042967e-2 |
---|
| 469 | zc = (-7.267926e-5 * zt + 2.598241e-3 ) * zt + 0.1571896 |
---|
| 470 | zaw= ( ( 5.939910e-6 * zt + 2.512549e-3 ) * zt - 0.1028859 ) * zt - 4.721788 |
---|
| 471 | za = ( zd * zsr + zc ) * zs + zaw |
---|
| 472 | |
---|
| 473 | zb1 = (-0.1909078 * zt + 7.390729 ) * zt - 55.87545 |
---|
| 474 | za1 = ( ( 2.326469e-3 * zt + 1.553190 ) * zt - 65.00517 & |
---|
| 475 | & ) * zt + 1044.077 |
---|
| 476 | zkw = ( ( (-1.361629e-4 * zt - 1.852732e-2 ) * zt - 30.41638 & |
---|
| 477 | & ) * zt + 2098.925 ) * zt + 190925.6 |
---|
| 478 | zk0 = ( zb1 * zsr + za1 ) * zs + zkw |
---|
| 479 | |
---|
| 480 | |
---|
| 481 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 482 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 483 | |
---|
| 484 | ! Tangent linear part |
---|
| 485 | |
---|
| 486 | zttl = ptem_tl(ji,jj,jk) |
---|
| 487 | zstl = psal_tl(ji,jj,jk) |
---|
| 488 | |
---|
| 489 | zsrtl= ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 490 | & * tmask(ji,jj,jk) * zstl |
---|
| 491 | |
---|
| 492 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 493 | & -4.*1.120083e-6 ) * zt & |
---|
| 494 | & +3.*1.001685e-4 ) * zt & |
---|
| 495 | & -2.*9.095290e-3 ) * zt & |
---|
| 496 | & + 6.793952e-2 ) * zttl |
---|
| 497 | |
---|
| 498 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
---|
| 499 | & -3.*8.2467e-7 ) * zt & |
---|
| 500 | & +2.*7.6438e-5 ) * zt & |
---|
| 501 | & - 4.0899e-3 ) * zttl |
---|
| 502 | |
---|
| 503 | zr3tl= ( -2.*1.6546e-6 * zt & |
---|
| 504 | & + 1.0227e-4 ) * zttl |
---|
| 505 | |
---|
| 506 | zrhoptl= zr1tl & |
---|
| 507 | & + zs * zr2tl & |
---|
| 508 | & + zsr * zs * zr3tl & |
---|
| 509 | & + zr3 * zs * zsrtl & |
---|
| 510 | & + ( 2. * zr4 * zs + zr2 & |
---|
| 511 | & + zr3 * zsr ) * zstl |
---|
| 512 | |
---|
| 513 | prhop_tl(ji,jj,jk) = zrhoptl * tmask(ji,jj,jk) |
---|
| 514 | |
---|
| 515 | zetl = ( -2.*3.508914e-8 * zt & |
---|
| 516 | & - 1.248266e-8 ) * zttl |
---|
| 517 | |
---|
| 518 | zbwtl= ( 2.*1.296821e-6 * zt & |
---|
| 519 | & - 5.782165e-9 ) * zttl |
---|
| 520 | |
---|
| 521 | zbtl = zbwtl & |
---|
| 522 | & + zs * zetl & |
---|
| 523 | & + ze * zstl |
---|
| 524 | |
---|
| 525 | zctl = ( -2.*7.267926e-5 * zt & |
---|
| 526 | & + 2.598241e-3 ) * zttl |
---|
| 527 | |
---|
| 528 | zawtl= ( ( 3.*5.939910e-6 * zt & |
---|
| 529 | & +2.*2.512549e-3 ) * zt & |
---|
| 530 | & - 0.1028859 ) * zttl |
---|
| 531 | |
---|
| 532 | zatl = zawtl & |
---|
| 533 | & + zd * zs * zsrtl & |
---|
| 534 | & + zs * zctl & |
---|
| 535 | & + ( zd * zsr + zc ) * zstl |
---|
| 536 | |
---|
| 537 | zb1tl= ( -2.*0.1909078 * zt & |
---|
| 538 | & + 7.390729 ) * zttl |
---|
| 539 | |
---|
| 540 | za1tl= ( ( 3.*2.326469e-3 * zt & |
---|
| 541 | & +2.*1.553190 ) * zt & |
---|
| 542 | & - 65.00517 ) * zttl |
---|
| 543 | |
---|
| 544 | zkwtl= ( ( ( -4.*1.361629e-4 * zt & |
---|
| 545 | & -3.*1.852732e-2 ) * zt & |
---|
| 546 | & -2.*30.41638 ) * zt & |
---|
| 547 | & + 2098.925 ) * zttl |
---|
| 548 | |
---|
| 549 | zk0tl= zkwtl & |
---|
| 550 | & + zb1 * zs * zsrtl & |
---|
| 551 | & + zs * zsr * zb1tl & |
---|
| 552 | & + zs * za1tl & |
---|
| 553 | & + ( zb1 * zsr + za1 ) * zstl |
---|
| 554 | |
---|
| 555 | ! Masked in situ density anomaly |
---|
| 556 | |
---|
| 557 | prd_tl(ji,jj,jk) = tmask(ji,jj,jk) * zrdc2 * & |
---|
| 558 | & ( zrhoptl & |
---|
| 559 | & - zrdc2 * zh * zrdc1**2 * zrhop & |
---|
| 560 | & * ( zk0tl & |
---|
| 561 | & - zh * ( zatl & |
---|
| 562 | & - zh * zbtl ) ) )& |
---|
| 563 | & * zrau0r |
---|
| 564 | END DO |
---|
| 565 | END DO |
---|
| 566 | END DO |
---|
| 567 | ! |
---|
| 568 | CASE ( 1 ) !== Linear formulation = F( temperature ) ==! |
---|
| 569 | DO jk = 1, jpkm1 |
---|
| 570 | prd_tl (:,:,jk) = ( - rn_alpha * ptem_tl(:,:,jk) ) * tmask(:,:,jk) |
---|
| 571 | prhop_tl(:,:,jk) = ( rau0 * prd_tl(:,:,jk) ) * tmask(:,:,jk) |
---|
| 572 | END DO |
---|
| 573 | ! |
---|
| 574 | CASE ( 2 ) !== Linear formulation = F( temperature , salinity ) ==! |
---|
| 575 | DO jk = 1, jpkm1 |
---|
| 576 | prd_tl(:,:,jk) = ( rn_beta * psal_tl(:,:,jk) - rn_alpha * ptem_tl(:,:,jk) ) * tmask(:,:,jk) |
---|
| 577 | prhop_tl(:,:,jk) = ( rau0 * prd_tl(:,:,jk) ) * tmask(:,:,jk) |
---|
| 578 | END DO |
---|
| 579 | ! |
---|
| 580 | END SELECT |
---|
| 581 | |
---|
| 582 | END SUBROUTINE eos_insitu_pot_tan |
---|
| 583 | SUBROUTINE eos_pot_1pt_tan( ptem, psal, ptem_tl, psal_tl, prhop_tl) |
---|
| 584 | !!---------------------------------------------------------------------- |
---|
| 585 | !! *** ROUTINE eos_pot_1pt_tan *** |
---|
| 586 | !! |
---|
| 587 | !! ** Purpose of the direct routine: |
---|
| 588 | !! Compute the |
---|
| 589 | !! potential volumic mass (Kg/m3) from potential temperature and |
---|
| 590 | !! salinity fields using an equation of state defined through the |
---|
| 591 | !! namelist parameter neos. |
---|
| 592 | !! |
---|
| 593 | !! ** Method : |
---|
| 594 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 595 | !! the in situ density is computed directly as a function of |
---|
| 596 | !! potential temperature relative to the surface (the opa t |
---|
| 597 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 598 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 599 | !! is approximated by the depth in meters. |
---|
| 600 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 601 | !! rhop(t,s) = rho(t,s,0) |
---|
| 602 | !! with pressure p decibars |
---|
| 603 | !! potential temperature t deg celsius |
---|
| 604 | !! salinity s psu |
---|
| 605 | !! reference volumic mass rau0 kg/m**3 |
---|
| 606 | !! in situ volumic mass rho kg/m**3 |
---|
| 607 | !! in situ density anomalie prd no units |
---|
| 608 | !! |
---|
| 609 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 610 | !! t = 40 deg celcius, s=40 psu |
---|
| 611 | !! |
---|
| 612 | !! nn_eos = 1 : linear equation of state function of temperature only |
---|
| 613 | !! prd(t) = ( rho(t) - rau0 ) / rau0 = 0.028 - ralpha * t |
---|
| 614 | !! rhop(t,s) = rho(t,s) |
---|
| 615 | !! |
---|
| 616 | !! nn_eos = 2 : linear equation of state function of temperature and |
---|
| 617 | !! salinity |
---|
| 618 | !! prd(t,s) = ( rho(t,s) - rau0 ) / rau0 |
---|
| 619 | !! = rn_beta * s - rn_alpha * tn - 1. |
---|
| 620 | !! rhop(t,s) = rho(t,s) |
---|
| 621 | !! Note that no boundary condition problem occurs in this routine |
---|
| 622 | !! as (tn,sn) or (ta,sa) are defined over the whole domain. |
---|
| 623 | !! |
---|
| 624 | !! ** Action : - prd , the in situ density (no units) |
---|
| 625 | !! - prhop, the potential volumic mass (Kg/m3) |
---|
| 626 | !! |
---|
| 627 | !! References : |
---|
| 628 | !! Jackett, D.R., and T.J. McDougall. J. Atmos. Ocean. Tech., 1994 |
---|
| 629 | !! Brown, J. A. and K. A. Campana. Mon. Weather Rev., 1978 |
---|
| 630 | !! |
---|
| 631 | !! History of the direct routine: |
---|
| 632 | !! 4.0 ! 89-03 (O. Marti) |
---|
| 633 | !! ! 94-08 (G. Madec) |
---|
| 634 | !! ! 96-01 (G. Madec) statement function for e3 |
---|
| 635 | !! ! 97-07 (G. Madec) introduction of neos, OPA8.1 |
---|
| 636 | !! ! 97-07 (G. Madec) density instead of volumic mass |
---|
| 637 | !! ! 99-02 (G. Madec, N. Grima) semi-implicit pressure gradient |
---|
| 638 | !! ! 01-09 (M. Ben Jelloul) bugfix |
---|
| 639 | !! 9.0 ! 03-08 (G. Madec) F90, free form |
---|
| 640 | !! ! 06-11 (G. Smith) single point case |
---|
| 641 | !! History of the tangent routine: |
---|
| 642 | !! 9.0 ! 08-07 (A. Vidard) Initial version |
---|
| 643 | !!---------------------------------------------------------------------- |
---|
| 644 | !! * Arguments |
---|
| 645 | REAL(wp), INTENT( in ) :: & |
---|
| 646 | ptem, & ! potential temperature |
---|
| 647 | psal ! salinity |
---|
| 648 | REAL(wp), INTENT( in ) :: & |
---|
| 649 | ptem_tl, & ! potential temperature |
---|
| 650 | psal_tl ! salinity |
---|
| 651 | REAL(wp), INTENT( out ) :: & |
---|
| 652 | prhop_tl ! potential density (surface referenced) |
---|
| 653 | |
---|
| 654 | !! * Local declarations |
---|
| 655 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 656 | REAL(wp) :: & ! temporary scalars |
---|
| 657 | & zt, zs, zsr, zr1, zr2, zr3, zr4, zrhop, & |
---|
| 658 | & zttl, zstl, zsrtl, zr1tl, zr2tl, zr3tl, zr4tl, zrhoptl |
---|
| 659 | REAL(wp) :: zws, zwstl, zeps |
---|
| 660 | !!---------------------------------------------------------------------- |
---|
| 661 | |
---|
| 662 | #ifdef key_sp |
---|
| 663 | zeps = 1.e-7 |
---|
| 664 | #else |
---|
| 665 | zeps = 1.e-14 |
---|
| 666 | #endif |
---|
| 667 | |
---|
| 668 | SELECT CASE ( nn_eos ) |
---|
| 669 | |
---|
| 670 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 671 | zws = SQRT( ABS( psal ) ) |
---|
| 672 | |
---|
| 673 | zt = ptem |
---|
| 674 | zs = psal |
---|
| 675 | ! square root salinity |
---|
| 676 | zsr= zws |
---|
| 677 | ! compute volumic mass pure water at atm pressure |
---|
| 678 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 679 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 680 | ! seawater volumic mass atm pressure |
---|
| 681 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 682 | -4.0899e-3 ) *zt+0.824493 |
---|
| 683 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 684 | zr4= 4.8314e-4 |
---|
| 685 | |
---|
| 686 | ! ================== |
---|
| 687 | ! tangent linear part |
---|
| 688 | ! ================== |
---|
| 689 | |
---|
| 690 | zwstl = 1/MAX( 2*zws , zeps ) * psal_tl |
---|
| 691 | zttl = ptem_tl |
---|
| 692 | zstl = psal_tl |
---|
| 693 | ! square root salinity |
---|
| 694 | zsrtl= zwstl |
---|
| 695 | ! compute volumic mass pure water at atm pressure |
---|
| 696 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 697 | & -4.*1.120083e-6 ) * zt & |
---|
| 698 | & +3.*1.001685e-4 ) * zt & |
---|
| 699 | & -2.*9.095290e-3 ) * zt & |
---|
| 700 | & + 6.793952e-2 ) * zttl |
---|
| 701 | ! seawater volumic mass atm pressure |
---|
| 702 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
---|
| 703 | & -3.*8.2467e-7 ) * zt & |
---|
| 704 | & +2.*7.6438e-5 ) * zt & |
---|
| 705 | & - 4.0899e-3 ) * zttl |
---|
| 706 | |
---|
| 707 | zr3tl= ( -2.*1.6546e-6 * zt & |
---|
| 708 | & + 1.0227e-4 ) * zttl |
---|
| 709 | |
---|
| 710 | ! potential volumic mass (reference to the surface) |
---|
| 711 | zrhoptl= zr1tl & |
---|
| 712 | & + zs * zr2tl & |
---|
| 713 | & + zsr * zs * zr3tl & |
---|
| 714 | & + zr3 * zs * zsrtl & |
---|
| 715 | & + ( 2. * zr4 * zs + zr2 & |
---|
| 716 | & + zr3 * zsr ) * zstl |
---|
| 717 | |
---|
| 718 | ! save potential volumic mass |
---|
| 719 | prhop_tl = zrhoptl |
---|
| 720 | |
---|
| 721 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 722 | |
---|
| 723 | zttl = ptem_tl |
---|
| 724 | ! ... potential volumic mass |
---|
| 725 | prhop_tl = ( rau0 * ( - rn_alpha * zttl ) ) |
---|
| 726 | |
---|
| 727 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 728 | |
---|
| 729 | zttl = ptem_tl |
---|
| 730 | zstl = psal_tl |
---|
| 731 | ! ... potential volumic mass |
---|
| 732 | prhop_tl = rau0 * ( rn_beta * zstl - rn_alpha * zttl ) |
---|
| 733 | |
---|
| 734 | CASE DEFAULT |
---|
| 735 | |
---|
| 736 | WRITE(ctmp1,*) ' bad flag value for nn_eos = ', nn_eos |
---|
| 737 | CALL ctl_stop( ctmp1 ) |
---|
| 738 | |
---|
| 739 | END SELECT |
---|
| 740 | |
---|
| 741 | END SUBROUTINE eos_pot_1pt_tan |
---|
| 742 | SUBROUTINE eos_insitu_2d_tan( ptem, psal, pdep, ptem_tl, psal_tl, prd_tl ) |
---|
| 743 | !!----------------------------------------------------------------------- |
---|
| 744 | !! |
---|
| 745 | !! *** ROUTINE eos_insitu_2d_tan : TL OF ROUTINE eos_insitu_2d *** |
---|
| 746 | !! |
---|
| 747 | !! ** Purpose of direct routine : Compute the in situ density |
---|
| 748 | !! (ratio rho/rau0) from potential temperature and salinity |
---|
| 749 | !! using an equation of state defined through the namelist |
---|
| 750 | !! parameter nn_eos. * 2D field case |
---|
| 751 | !! |
---|
| 752 | !! ** Method of direct routine : 3 cases: |
---|
| 753 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 754 | !! the in situ density is computed directly as a function of |
---|
| 755 | !! potential temperature relative to the surface (the opa t |
---|
| 756 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 757 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 758 | !! is approximated by the depth in meters. |
---|
| 759 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 760 | !! with pressure p decibars |
---|
| 761 | !! potential temperature t deg celsius |
---|
| 762 | !! salinity s psu |
---|
| 763 | !! reference volumic mass rau0 kg/m**3 |
---|
| 764 | !! in situ volumic mass rho kg/m**3 |
---|
| 765 | !! in situ density anomalie prd no units |
---|
| 766 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 767 | !! t = 40 deg celcius, s=40 psu |
---|
| 768 | !! nn_eos = 1 : linear equation of state function of temperature only |
---|
| 769 | !! prd(t) = 0.0285 - ralpha * t |
---|
| 770 | !! nn_eos = 2 : linear equation of state function of temperature and |
---|
| 771 | !! salinity |
---|
| 772 | !! prd(t,s) = rn_beta * s - rn_alpha * tn - 1. |
---|
| 773 | !! Note that no boundary condition problem occurs in this routine |
---|
| 774 | !! as (ptem,psal) are defined over the whole domain. |
---|
| 775 | !! |
---|
| 776 | !! ** Comments on Adjoint Routine : |
---|
| 777 | !! Care has been taken to avoid division by zero when computing |
---|
| 778 | !! the inverse of the square root of salinity at masked salinity |
---|
| 779 | !! points. |
---|
| 780 | !! |
---|
| 781 | !! ** Action : |
---|
| 782 | !! |
---|
| 783 | !! References : |
---|
| 784 | !! |
---|
| 785 | !! History : |
---|
| 786 | !! 8.2 ! 05-03 ((F. Van den Berghe, A. Weaver, N. Daget) - eostan.F |
---|
| 787 | !! 9.0 ! 07-07 (K. Mogensen) Initial version based on eostan.F |
---|
| 788 | !! ! 08-07 (A. Vidard) bug fix in computation of prd_tl if neos=1 |
---|
| 789 | !!----------------------------------------------------------------------- |
---|
| 790 | !! * Modules used |
---|
| 791 | !! * Arguments |
---|
| 792 | REAL(wp), DIMENSION(jpi,jpj), INTENT( in ) :: & |
---|
| 793 | & ptem, & ! potential temperature |
---|
| 794 | & psal, & ! salinity |
---|
| 795 | & pdep, & ! depth |
---|
| 796 | & ptem_tl, & ! TL of potential temperature |
---|
| 797 | & psal_tl ! TL of salinity |
---|
| 798 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out ) :: & |
---|
| 799 | & prd_tl ! TL of potential density (surface referenced) |
---|
| 800 | |
---|
| 801 | !! * Local declarations |
---|
| 802 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 803 | REAL(wp) :: & ! temporary scalars |
---|
| 804 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 805 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 806 | zttl, zstl, zhtl, zsrtl, zr1tl, zr2tl, zr3tl, & |
---|
| 807 | zr4tl, zrhoptl, zetl, zbwtl, & |
---|
| 808 | zbtl, zdtl, zctl, zawtl, zatl, zb1tl, za1tl, & |
---|
| 809 | zkwtl, zk0tl, zpes, zrdc1, zrdc2, zeps, & |
---|
| 810 | zmask |
---|
| 811 | REAL(wp), DIMENSION(jpi,jpj) :: zws |
---|
| 812 | !!---------------------------------------------------------------------- |
---|
| 813 | |
---|
| 814 | SELECT CASE ( nn_eos ) |
---|
| 815 | |
---|
| 816 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 817 | |
---|
| 818 | #ifdef key_sp |
---|
| 819 | zeps = 1.e-7 |
---|
| 820 | #else |
---|
| 821 | zeps = 1.e-14 |
---|
| 822 | #endif |
---|
| 823 | |
---|
| 824 | !CDIR NOVERRCHK |
---|
| 825 | DO jj = 1, jpjm1 |
---|
| 826 | !CDIR NOVERRCHK |
---|
| 827 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 828 | zws(ji,jj) = SQRT( ABS( psal(ji,jj) ) ) |
---|
| 829 | END DO |
---|
| 830 | END DO |
---|
| 831 | DO jj = 1, jpjm1 |
---|
| 832 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 833 | |
---|
| 834 | zmask = tmask(ji,jj,1) ! land/sea bottom mask = surf. mask |
---|
| 835 | |
---|
| 836 | zt = ptem (ji,jj) ! interpolated T |
---|
| 837 | zs = psal (ji,jj) ! interpolated S |
---|
| 838 | zsr= zws(ji,jj) ! square root of interpolated S |
---|
| 839 | zh = pdep(ji,jj) ! depth at the partial step level |
---|
| 840 | ! compute volumic mass pure water at atm pressure |
---|
| 841 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 842 | & -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 843 | ! seawater volumic mass atm pressure |
---|
| 844 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 845 | & -4.0899e-3 ) *zt+0.824493 |
---|
| 846 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 847 | zr4= 4.8314e-4 |
---|
| 848 | |
---|
| 849 | ! potential volumic mass (reference to the surface) |
---|
| 850 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
| 851 | |
---|
| 852 | ! add the compression terms |
---|
| 853 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
| 854 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
| 855 | zb = zbw + ze * zs |
---|
| 856 | |
---|
| 857 | zd = -2.042967e-2 |
---|
| 858 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
| 859 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
| 860 | za = ( zd*zsr + zc ) *zs + zaw |
---|
| 861 | |
---|
| 862 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
| 863 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
| 864 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
| 865 | zk0= ( zb1*zsr + za1 )*zs + zkw |
---|
| 866 | |
---|
| 867 | ! Tangent linear part |
---|
| 868 | |
---|
| 869 | zttl = ptem_tl(ji,jj) |
---|
| 870 | zstl = psal_tl(ji,jj) |
---|
| 871 | |
---|
| 872 | zsrtl= ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 873 | & * tmask(ji,jj,1) * zstl |
---|
| 874 | |
---|
| 875 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 876 | & -4.*1.120083e-6 ) * zt & |
---|
| 877 | & +3.*1.001685e-4 ) * zt & |
---|
| 878 | & -2.*9.095290e-3 ) * zt & |
---|
| 879 | & + 6.793952e-2 ) * zttl |
---|
| 880 | |
---|
| 881 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
---|
| 882 | & -3.*8.2467e-7 ) * zt & |
---|
| 883 | & +2.*7.6438e-5 ) * zt & |
---|
| 884 | & - 4.0899e-3 ) * zttl |
---|
| 885 | |
---|
| 886 | zr3tl= ( -2.*1.6546e-6 * zt & |
---|
| 887 | & + 1.0227e-4 ) * zttl |
---|
| 888 | |
---|
| 889 | zrhoptl= zr1tl & |
---|
| 890 | & + zs * zr2tl & |
---|
| 891 | & + zsr * zs * zr3tl & |
---|
| 892 | & + zr3 * zs * zsrtl & |
---|
| 893 | & + ( 2. * zr4 * zs + zr2 & |
---|
| 894 | & + zr3 * zsr ) * zstl |
---|
| 895 | |
---|
| 896 | zetl = ( -2.*3.508914e-8 * zt & |
---|
| 897 | & - 1.248266e-8 ) * zttl |
---|
| 898 | |
---|
| 899 | zbwtl= ( 2.*1.296821e-6 * zt & |
---|
| 900 | & - 5.782165e-9 ) * zttl |
---|
| 901 | |
---|
| 902 | zbtl = zbwtl & |
---|
| 903 | & + zs * zetl & |
---|
| 904 | & + ze * zstl |
---|
| 905 | |
---|
| 906 | zctl = ( -2.*7.267926e-5 * zt & |
---|
| 907 | & + 2.598241e-3 ) * zttl |
---|
| 908 | |
---|
| 909 | zawtl= ( ( 3.*5.939910e-6 * zt & |
---|
| 910 | & +2.*2.512549e-3 ) * zt & |
---|
| 911 | & - 0.1028859 ) * zttl |
---|
| 912 | |
---|
| 913 | zatl = zawtl & |
---|
| 914 | & + zd * zs * zsrtl & |
---|
| 915 | & + zs * zctl & |
---|
| 916 | & + ( zd * zsr + zc ) * zstl |
---|
| 917 | |
---|
| 918 | zb1tl= ( -2.*0.1909078 * zt & |
---|
| 919 | & + 7.390729 ) * zttl |
---|
| 920 | |
---|
| 921 | za1tl= ( ( 3.*2.326469e-3 * zt & |
---|
| 922 | & +2.*1.553190 ) * zt & |
---|
| 923 | & - 65.00517 ) * zttl |
---|
| 924 | |
---|
| 925 | zkwtl= ( ( ( -4.*1.361629e-4 * zt & |
---|
| 926 | & -3.*1.852732e-2 ) * zt & |
---|
| 927 | & -2.*30.41638 ) * zt & |
---|
| 928 | & + 2098.925 ) * zttl |
---|
| 929 | |
---|
| 930 | zk0tl= zkwtl & |
---|
| 931 | & + zb1 * zs * zsrtl & |
---|
| 932 | & + zs * zsr * zb1tl & |
---|
| 933 | & + zs * za1tl & |
---|
| 934 | & + ( zb1 * zsr + za1 ) * zstl |
---|
| 935 | |
---|
| 936 | ! Masked in situ density anomaly |
---|
| 937 | |
---|
| 938 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 939 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 940 | |
---|
| 941 | prd_tl(ji,jj) = tmask(ji,jj,1) * zrdc2 * & |
---|
| 942 | & ( zrhoptl & |
---|
| 943 | & - zrdc2 * zh * zrdc1**2 * zrhop & |
---|
| 944 | & * ( zk0tl & |
---|
| 945 | & - zh * ( zatl & |
---|
| 946 | & - zh * zbtl ) ) )& |
---|
| 947 | & / rau0 |
---|
| 948 | |
---|
| 949 | |
---|
| 950 | END DO |
---|
| 951 | END DO |
---|
| 952 | ! |
---|
| 953 | CASE ( 1 ) !== Linear formulation = F( temperature ) ==! |
---|
| 954 | DO jj = 1, jpjm1 |
---|
| 955 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 956 | prd_tl(ji,jj) = ( - rn_alpha * ptem_tl(ji,jj) ) * tmask(ji,jj,1) |
---|
| 957 | END DO |
---|
| 958 | END DO |
---|
| 959 | ! |
---|
| 960 | CASE ( 2 ) !== Linear formulation = F( temperature , salinity ) ==! |
---|
| 961 | DO jj = 1, jpjm1 |
---|
| 962 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 963 | prd_tl (ji,jj) = ( rn_beta * psal_tl(ji,jj) - rn_alpha * ptem_tl(ji,jj) ) * tmask(ji,jj,1) |
---|
| 964 | END DO |
---|
| 965 | END DO |
---|
| 966 | ! |
---|
| 967 | END SELECT |
---|
| 968 | |
---|
| 969 | |
---|
| 970 | END SUBROUTINE eos_insitu_2d_tan |
---|
| 971 | |
---|
| 972 | SUBROUTINE eos_insitu_adj(ptem, psal, ptem_ad, psal_ad, prd_ad) |
---|
| 973 | !!----------------------------------------------------------------------- |
---|
| 974 | !! |
---|
| 975 | !! *** ROUTINE eos_insitu_tan : Adjoint OF ROUTINE eos_insitu *** |
---|
| 976 | !! |
---|
| 977 | !! ** Purpose of direct routine : Compute the in situ density |
---|
| 978 | !! (ratio rho/rau0) from potential temperature and salinity |
---|
| 979 | !! using an equation of state defined through the namelist |
---|
| 980 | !! parameter nneos. |
---|
| 981 | !! |
---|
| 982 | !! ** Method of direct routine : 3 cases: |
---|
| 983 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 984 | !! the in situ density is computed directly as a function of |
---|
| 985 | !! potential temperature relative to the surface (the opa t |
---|
| 986 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 987 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 988 | !! is approximated by the depth in meters. |
---|
| 989 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 990 | !! with pressure p decibars |
---|
| 991 | !! potential temperature t deg celsius |
---|
| 992 | !! salinity s psu |
---|
| 993 | !! reference volumic mass rau0 kg/m**3 |
---|
| 994 | !! in situ volumic mass rho kg/m**3 |
---|
| 995 | !! in situ density anomalie prd no units |
---|
| 996 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 997 | !! t = 40 deg celcius, s=40 psu |
---|
| 998 | !! nn_eos = 1 : linear equation of state function of temperature only |
---|
| 999 | !! prd(t) = 0.0285 - rn_alpha * t |
---|
| 1000 | !! nn_eos = 2 : linear equation of state function of temperature and |
---|
| 1001 | !! salinity |
---|
| 1002 | !! prd(t,s) = rn_beta * s - rn_alpha * tn - 1. |
---|
| 1003 | !! Note that no boundary condition problem occurs in this routine |
---|
| 1004 | !! as (ptem,psal) are defined over the whole domain. |
---|
| 1005 | !! |
---|
| 1006 | !! ** Comments on Adjoint Routine : |
---|
| 1007 | !! Care has been taken to avoid division by zero when computing |
---|
| 1008 | !! the inverse of the square root of salinity at masked salinity |
---|
| 1009 | !! points. |
---|
| 1010 | !! |
---|
| 1011 | !! ** Action : |
---|
| 1012 | !! |
---|
| 1013 | !! References : |
---|
| 1014 | !! |
---|
| 1015 | !! History : |
---|
| 1016 | !! 8.2 ! 05-03 ((F. Van den Berghe, A. Weaver, N. Daget) - eostan.F |
---|
| 1017 | !! 9.0 ! 08-08 (A. Vidard) 9.0 version |
---|
| 1018 | !!----------------------------------------------------------------------- |
---|
| 1019 | !! * Modules used |
---|
| 1020 | !! * Arguments |
---|
| 1021 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1022 | ptem, & ! potential temperature |
---|
| 1023 | psal ! salinity |
---|
| 1024 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 1025 | ptem_ad, & ! potential temperature |
---|
| 1026 | psal_ad ! salinity |
---|
| 1027 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 1028 | prd_ad ! potential density (surface referenced) |
---|
| 1029 | !! * Local declarations |
---|
| 1030 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1031 | REAL(wp) :: & ! temporary scalars |
---|
| 1032 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 1033 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 1034 | ztad, zsad, zhad, zsrad, zr1ad, zr2ad, zr3ad, & |
---|
| 1035 | zr4ad, zrhopad, zead, zbwad, & |
---|
| 1036 | zbad, zdad, zcad, zawad, zaad, zb1ad, za1ad, & |
---|
| 1037 | zkwad, zk0ad, zpes, zrdc1, zrdc2, zeps, & |
---|
| 1038 | zmask, zrau0r |
---|
| 1039 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
---|
| 1040 | !!---------------------------------------------------------------------- |
---|
| 1041 | |
---|
| 1042 | ! initialization of adjoint variables |
---|
| 1043 | ztad = 0.0_wp |
---|
| 1044 | zsad = 0.0_wp |
---|
| 1045 | zhad = 0.0_wp |
---|
| 1046 | zsrad = 0.0_wp |
---|
| 1047 | zr1ad = 0.0_wp |
---|
| 1048 | zr2ad = 0.0_wp |
---|
| 1049 | zr3ad = 0.0_wp |
---|
| 1050 | zr4ad = 0.0_wp |
---|
| 1051 | zrhopad = 0.0_wp |
---|
| 1052 | zead = 0.0_wp |
---|
| 1053 | zbwad = 0.0_wp |
---|
| 1054 | zbad = 0.0_wp |
---|
| 1055 | zdad = 0.0_wp |
---|
| 1056 | zcad = 0.0_wp |
---|
| 1057 | zawad = 0.0_wp |
---|
| 1058 | zaad = 0.0_wp |
---|
| 1059 | zb1ad = 0.0_wp |
---|
| 1060 | za1ad = 0.0_wp |
---|
| 1061 | zkwad = 0.0_wp |
---|
| 1062 | zk0ad = 0.0_wp |
---|
| 1063 | |
---|
| 1064 | SELECT CASE ( nn_eos ) |
---|
| 1065 | |
---|
| 1066 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 1067 | zrau0r = 1.e0 / rau0 |
---|
| 1068 | #ifdef key_sp |
---|
| 1069 | zeps = 1.e-7 |
---|
| 1070 | #else |
---|
| 1071 | zeps = 1.e-14 |
---|
| 1072 | #endif |
---|
| 1073 | |
---|
| 1074 | !CDIR NOVERRCHK |
---|
| 1075 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
---|
| 1076 | DO jk = 1, jpkm1 |
---|
| 1077 | DO jj = 1, jpj |
---|
| 1078 | DO ji = 1, jpi |
---|
| 1079 | zt = ptem(ji,jj,jk) |
---|
| 1080 | zs = psal(ji,jj,jk) |
---|
| 1081 | zh = fsdept(ji,jj,jk) ! depth |
---|
| 1082 | zsr= zws(ji,jj,jk) ! square root salinity |
---|
| 1083 | ! compute volumic mass pure water at atm pressure |
---|
| 1084 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 1085 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 1086 | ! seawater volumic mass atm pressure |
---|
| 1087 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 1088 | -4.0899e-3 ) *zt+0.824493 |
---|
| 1089 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 1090 | zr4= 4.8314e-4 |
---|
| 1091 | |
---|
| 1092 | ! potential volumic mass (reference to the surface) |
---|
| 1093 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
| 1094 | |
---|
| 1095 | ! add the compression terms |
---|
| 1096 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
| 1097 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
| 1098 | zb = zbw + ze * zs |
---|
| 1099 | |
---|
| 1100 | zd = -2.042967e-2 |
---|
| 1101 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
| 1102 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
| 1103 | za = ( zd*zsr + zc ) *zs + zaw |
---|
| 1104 | |
---|
| 1105 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
| 1106 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
| 1107 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
| 1108 | zk0= ( zb1*zsr + za1 )*zs + zkw |
---|
| 1109 | |
---|
| 1110 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 1111 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 1112 | ! ============ |
---|
| 1113 | ! Adjoint part |
---|
| 1114 | ! ============ |
---|
| 1115 | |
---|
| 1116 | ! Masked in situ density anomaly |
---|
| 1117 | |
---|
| 1118 | zrhopad = zrhopad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1119 | & * zrdc2 * zrau0r |
---|
| 1120 | zk0ad = zk0ad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1121 | & * zrdc2 * zrdc2 * zh & |
---|
| 1122 | & * zrdc1**2 * zrhop & |
---|
| 1123 | & * zrau0r |
---|
| 1124 | zaad = zaad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1125 | & * zrdc2 * zrdc2 * zh & |
---|
| 1126 | & * zrdc1**2 * zrhop & |
---|
| 1127 | & * zh * zrau0r |
---|
| 1128 | zbad = zbad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1129 | & * zrdc2 * zrdc2 * zh & |
---|
| 1130 | & * zrdc1**2 * zrhop & |
---|
| 1131 | & * zh * zh * zrau0r |
---|
| 1132 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1133 | |
---|
| 1134 | zkwad = zkwad + zk0ad |
---|
| 1135 | zsrad = zsrad + zk0ad * zb1 * zs |
---|
| 1136 | zb1ad = zb1ad + zk0ad * zs * zsr |
---|
| 1137 | za1ad = za1ad + zk0ad * zs |
---|
| 1138 | zsad = zsad + zk0ad * ( zb1 * zsr + za1 ) |
---|
| 1139 | zk0ad = 0.0_wp |
---|
| 1140 | |
---|
| 1141 | ztad = ztad + zkwad * ( ( (-4.*1.361629e-4 * zt & |
---|
| 1142 | & -3.*1.852732e-2 ) * zt & |
---|
| 1143 | & -2.*30.41638 ) * zt & |
---|
| 1144 | & + 2098.925 ) |
---|
| 1145 | zkwad = 0.0_wp |
---|
| 1146 | |
---|
| 1147 | ztad = ztad + za1ad * ( ( 3.*2.326469e-3 * zt & |
---|
| 1148 | & +2.*1.553190 ) * zt & |
---|
| 1149 | & - 65.00517 ) |
---|
| 1150 | za1ad = 0.0_wp |
---|
| 1151 | |
---|
| 1152 | ztad = ztad + zb1ad * (-2.*0.1909078 * zt & |
---|
| 1153 | & + 7.390729 ) |
---|
| 1154 | zb1ad = 0.0_wp |
---|
| 1155 | |
---|
| 1156 | zawad = zawad + zaad |
---|
| 1157 | zsrad = zsrad + zaad * zd * zs |
---|
| 1158 | zcad = zcad + zaad * zs |
---|
| 1159 | zsad = zsad + zaad * ( zd * zsr + zc ) |
---|
| 1160 | zaad = 0.0_wp |
---|
| 1161 | |
---|
| 1162 | ztad = ztad + zawad * ( ( 3.*5.939910e-6 * zt & |
---|
| 1163 | & +2.*2.512549e-3 ) * zt & |
---|
| 1164 | & - 0.1028859 ) |
---|
| 1165 | zawad = 0.0_wp |
---|
| 1166 | |
---|
| 1167 | ztad = ztad + zcad * (-2.*7.267926e-5 * zt & |
---|
| 1168 | & + 2.598241e-3 ) |
---|
| 1169 | zcad = 0.0_wp |
---|
| 1170 | |
---|
| 1171 | zbwad = zbwad + zbad |
---|
| 1172 | zead = zead + zbad * zs |
---|
| 1173 | zsad = zsad + zbad * ze |
---|
| 1174 | zbad = 0.0_wp |
---|
| 1175 | |
---|
| 1176 | ztad = ztad + zbwad * ( 2.*1.296821e-6 * zt & |
---|
| 1177 | & - 5.782165e-9 ) |
---|
| 1178 | zbwad = 0.0_wp |
---|
| 1179 | |
---|
| 1180 | ztad = ztad + zead * (-2.*3.508914e-8 * zt & |
---|
| 1181 | & - 1.248266e-8 ) |
---|
| 1182 | zead = 0.0_wp |
---|
| 1183 | |
---|
| 1184 | zr1ad = zr1ad + zrhopad |
---|
| 1185 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1186 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1187 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1188 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1189 | & + zr3 * zsr ) |
---|
| 1190 | zrhopad = 0.0_wp |
---|
| 1191 | |
---|
| 1192 | ztad = ztad + zr3ad * (-2.*1.6546e-6 * zt & |
---|
| 1193 | & + 1.0227e-4 ) |
---|
| 1194 | zr3ad = 0.0_wp |
---|
| 1195 | |
---|
| 1196 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1197 | & -3.*8.2467e-7 ) * zt & |
---|
| 1198 | & +2.*7.6438e-5 ) * zt & |
---|
| 1199 | & - 4.0899e-3 ) |
---|
| 1200 | zr2ad = 0.0_wp |
---|
| 1201 | |
---|
| 1202 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1203 | & -4.*1.120083e-6 ) * zt & |
---|
| 1204 | & +3.*1.001685e-4 ) * zt & |
---|
| 1205 | & -2.*9.095290e-3 ) * zt & |
---|
| 1206 | & + 6.793952e-2 ) |
---|
| 1207 | zr1ad = 0.0_wp |
---|
| 1208 | |
---|
| 1209 | zsad = zsad + zsrad * ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 1210 | & * tmask(ji,jj,jk) |
---|
| 1211 | zsrad = 0.0_wp |
---|
| 1212 | |
---|
| 1213 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + zsad |
---|
| 1214 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + ztad |
---|
| 1215 | ztad = 0.0_wp |
---|
| 1216 | zsad = 0.0_wp |
---|
| 1217 | END DO |
---|
| 1218 | END DO |
---|
| 1219 | END DO |
---|
| 1220 | ! |
---|
| 1221 | CASE ( 1 ) !== Linear formulation function of temperature only ==! |
---|
| 1222 | DO jk = 1, jpkm1 |
---|
| 1223 | ptem_ad(:,:,jk) = ptem_ad(:,:,jk) - rn_alpha * prd_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1224 | prd_ad(:,:,jk) = 0.0_wp |
---|
| 1225 | END DO |
---|
| 1226 | ! |
---|
| 1227 | CASE ( 2 ) !== Linear formulation function of temperature and salinity ==! |
---|
| 1228 | DO jk = 1, jpkm1 |
---|
| 1229 | ptem_ad(:,:,jk) = ptem_ad(:,:,jk) - rn_alpha * prd_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1230 | psal_ad(:,:,jk) = psal_ad(:,:,jk) + rn_beta * prd_ad( :,:,jk) * tmask(:,:,jk) |
---|
| 1231 | prd_ad( :,:,jk) = 0.0_wp |
---|
| 1232 | END DO |
---|
| 1233 | ! |
---|
| 1234 | END SELECT |
---|
| 1235 | END SUBROUTINE eos_insitu_adj |
---|
| 1236 | |
---|
| 1237 | SUBROUTINE eos_insitu_pot_adj ( ptem, psal, ptem_ad, psal_ad, prd_ad, prhop_ad ) |
---|
| 1238 | !!---------------------------------------------------------------------- |
---|
| 1239 | !! *** ROUTINE eos_insitu_pot_adj *** |
---|
| 1240 | !! |
---|
| 1241 | !! ** Purpose or the direct routine: |
---|
| 1242 | !! Compute the in situ density (ratio rho/rau0) and the |
---|
| 1243 | !! potential volumic mass (Kg/m3) from potential temperature and |
---|
| 1244 | !! salinity fields using an equation of state defined through the |
---|
| 1245 | !! namelist parameter nn_eos. |
---|
| 1246 | !! |
---|
| 1247 | !! ** Method : |
---|
| 1248 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 1249 | !! the in situ density is computed directly as a function of |
---|
| 1250 | !! potential temperature relative to the surface (the opa t |
---|
| 1251 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 1252 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 1253 | !! is approximated by the depth in meters. |
---|
| 1254 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 1255 | !! rhop(t,s) = rho(t,s,0) |
---|
| 1256 | !! with pressure p decibars |
---|
| 1257 | !! potential temperature t deg celsius |
---|
| 1258 | !! salinity s psu |
---|
| 1259 | !! reference volumic mass rau0 kg/m**3 |
---|
| 1260 | !! in situ volumic mass rho kg/m**3 |
---|
| 1261 | !! in situ density anomalie prd no units |
---|
| 1262 | !! |
---|
| 1263 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 1264 | !! t = 40 deg celcius, s=40 psu |
---|
| 1265 | !! |
---|
| 1266 | !! neos = 1 : linear equation of state function of temperature only |
---|
| 1267 | !! prd(t) = ( rho(t) - rau0 ) / rau0 = 0.028 - ralpha * t |
---|
| 1268 | !! rhop(t,s) = rho(t,s) |
---|
| 1269 | !! |
---|
| 1270 | !! nn_eos = 2 : linear equation of state function of temperature and |
---|
| 1271 | !! salinity |
---|
| 1272 | !! prd(t,s) = ( rho(t,s) - rau0 ) / rau0 |
---|
| 1273 | !! = rn_beta * s - rn_alpha * tn - 1. |
---|
| 1274 | !! rhop(t,s) = rho(t,s) |
---|
| 1275 | !! Note that no boundary condition problem occurs in this routine |
---|
| 1276 | !! as (tn,sn) or (ta,sa) are defined over the whole domain. |
---|
| 1277 | !! |
---|
| 1278 | !! ** Action : - prd , the in situ density (no units) |
---|
| 1279 | !! - prhop, the potential volumic mass (Kg/m3) |
---|
| 1280 | !! |
---|
| 1281 | !! References : |
---|
| 1282 | !! Jackett, D.R., and T.J. McDougall. J. Atmos. Ocean. Tech., 1994 |
---|
| 1283 | !! Brown, J. A. and K. A. Campana. Mon. Weather Rev., 1978 |
---|
| 1284 | !! |
---|
| 1285 | !! History of the adjoint routine: |
---|
| 1286 | !! 9.0 ! 08-06 (A. Vidard) Initial version |
---|
| 1287 | !!---------------------------------------------------------------------- |
---|
| 1288 | !! * Arguments |
---|
| 1289 | |
---|
| 1290 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1291 | ptem, & ! potential temperature |
---|
| 1292 | psal ! salinity |
---|
| 1293 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 1294 | ptem_ad, & ! potential temperature |
---|
| 1295 | psal_ad ! salinity |
---|
| 1296 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 1297 | prd_ad, & ! potential density (surface referenced) |
---|
| 1298 | prhop_ad |
---|
| 1299 | !! * Local declarations |
---|
| 1300 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1301 | REAL(wp) :: & ! temporary scalars |
---|
| 1302 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 1303 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 1304 | ztad, zsad, zhad, zsrad, zr1ad, zr2ad, zr3ad, & |
---|
| 1305 | zr4ad, zrhopad, zead, zbwad, & |
---|
| 1306 | zbad, zdad, zcad, zawad, zaad, zb1ad, za1ad, & |
---|
| 1307 | zkwad, zk0ad, zpes, zrdc1, zrdc2, zeps, & |
---|
| 1308 | zmask, zrau0r |
---|
| 1309 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
---|
| 1310 | !!---------------------------------------------------------------------- |
---|
| 1311 | |
---|
| 1312 | ! initialization of adjoint variables |
---|
| 1313 | ztad = 0.0_wp |
---|
| 1314 | zsad = 0.0_wp |
---|
| 1315 | zhad = 0.0_wp |
---|
| 1316 | zsrad = 0.0_wp |
---|
| 1317 | zr1ad = 0.0_wp |
---|
| 1318 | zr2ad = 0.0_wp |
---|
| 1319 | zr3ad = 0.0_wp |
---|
| 1320 | zr4ad = 0.0_wp |
---|
| 1321 | zrhopad = 0.0_wp |
---|
| 1322 | zead = 0.0_wp |
---|
| 1323 | zbwad = 0.0_wp |
---|
| 1324 | zbad = 0.0_wp |
---|
| 1325 | zdad = 0.0_wp |
---|
| 1326 | zcad = 0.0_wp |
---|
| 1327 | zawad = 0.0_wp |
---|
| 1328 | zaad = 0.0_wp |
---|
| 1329 | zb1ad = 0.0_wp |
---|
| 1330 | za1ad = 0.0_wp |
---|
| 1331 | zkwad = 0.0_wp |
---|
| 1332 | zk0ad = 0.0_wp |
---|
| 1333 | |
---|
| 1334 | SELECT CASE ( nn_eos ) |
---|
| 1335 | |
---|
| 1336 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 1337 | zrau0r = 1.e0 / rau0 |
---|
| 1338 | #ifdef key_sp |
---|
| 1339 | zeps = 1.e-7 |
---|
| 1340 | #else |
---|
| 1341 | zeps = 1.e-14 |
---|
| 1342 | #endif |
---|
| 1343 | |
---|
| 1344 | !CDIR NOVERRCHK |
---|
| 1345 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
---|
| 1346 | ! |
---|
| 1347 | DO jk = jpkm1, 1, -1 |
---|
| 1348 | DO jj = jpj, 1, -1 |
---|
| 1349 | DO ji = jpi, 1, -1 |
---|
| 1350 | ! direct recomputing |
---|
| 1351 | zt = ptem(ji,jj,jk) |
---|
| 1352 | zs = psal(ji,jj,jk) |
---|
| 1353 | zh = fsdept(ji,jj,jk) ! depth |
---|
| 1354 | zsr = zws(ji,jj,jk) ! square root salinity |
---|
| 1355 | ! compute volumic mass pure water at atm pressure |
---|
| 1356 | zr1 = ( ( ( ( 6.536332e-9 * zt - 1.120083e-6 ) * zt & |
---|
| 1357 | & + 1.001685e-4 ) * zt - 9.095290e-3 ) * zt & |
---|
| 1358 | & + 6.793952e-2 ) * zt + 999.842594 |
---|
| 1359 | ! seawater volumic mass atm pressure |
---|
| 1360 | zr2 = ( ( ( 5.3875e-9 * zt - 8.2467e-7 ) * zt & |
---|
| 1361 | & + 7.6438e-5 ) * zt - 4.0899e-3 ) * zt + 0.824493 |
---|
| 1362 | zr3 = ( -1.6546e-6 * zt + 1.0227e-4 ) * zt - 5.72466e-3 |
---|
| 1363 | zr4 = 4.8314e-4 |
---|
| 1364 | ! potential volumic mass (reference to the surface) |
---|
| 1365 | zrhop = ( zr4 * zs + zr3*zsr + zr2 ) * zs + zr1 |
---|
| 1366 | ! add the compression terms |
---|
| 1367 | ze = ( -3.508914e-8 * zt - 1.248266e-8 ) * zt - 2.595994e-6 |
---|
| 1368 | zbw = ( 1.296821e-6 * zt - 5.782165e-9 ) * zt + 1.045941e-4 |
---|
| 1369 | zb = zbw + ze * zs |
---|
| 1370 | |
---|
| 1371 | zd = -2.042967e-2 |
---|
| 1372 | zc = (-7.267926e-5 * zt + 2.598241e-3 ) * zt + 0.1571896 |
---|
| 1373 | zaw= ( ( 5.939910e-6 * zt + 2.512549e-3 ) * zt - 0.1028859 & |
---|
| 1374 | & ) * zt - 4.721788 |
---|
| 1375 | za = ( zd * zsr + zc ) * zs + zaw |
---|
| 1376 | |
---|
| 1377 | zb1= (-0.1909078 * zt + 7.390729 ) * zt - 55.87545 |
---|
| 1378 | za1= ( ( 2.326469e-3 * zt + 1.553190 ) * zt - 65.00517 & |
---|
| 1379 | & ) * zt + 1044.077 |
---|
| 1380 | zkw= ( ( (-1.361629e-4 * zt - 1.852732e-2 ) * zt - 30.41638 & |
---|
| 1381 | & ) * zt + 2098.925 ) * zt + 190925.6 |
---|
| 1382 | zk0= ( zb1 * zsr + za1 ) * zs + zkw |
---|
| 1383 | |
---|
| 1384 | |
---|
| 1385 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 1386 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 1387 | |
---|
| 1388 | ! ============ |
---|
| 1389 | ! Adjoint part |
---|
| 1390 | ! ============ |
---|
| 1391 | |
---|
| 1392 | ! Masked in situ density anomaly |
---|
| 1393 | |
---|
| 1394 | zrhopad = zrhopad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1395 | & * zrdc2 * zrau0r |
---|
| 1396 | zk0ad = zk0ad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1397 | & * zrdc2 * zrdc2 * zh & |
---|
| 1398 | & * zrdc1**2 * zrhop & |
---|
| 1399 | & * zrau0r |
---|
| 1400 | zaad = zaad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1401 | & * zrdc2 * zrdc2 * zh & |
---|
| 1402 | & * zrdc1**2 * zrhop & |
---|
| 1403 | & * zh * zrau0r |
---|
| 1404 | zbad = zbad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1405 | & * zrdc2 * zrdc2 * zh & |
---|
| 1406 | & * zrdc1**2 * zrhop & |
---|
| 1407 | & * zh * zh * zrau0r |
---|
| 1408 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1409 | |
---|
| 1410 | zkwad = zkwad + zk0ad |
---|
| 1411 | zsrad = zsrad + zk0ad * zb1 * zs |
---|
| 1412 | zb1ad = zb1ad + zk0ad * zs * zsr |
---|
| 1413 | za1ad = za1ad + zk0ad * zs |
---|
| 1414 | zsad = zsad + zk0ad * ( zb1 * zsr + za1 ) |
---|
| 1415 | zk0ad = 0.0_wp |
---|
| 1416 | |
---|
| 1417 | ztad = ztad + zkwad * ( ( (-4.*1.361629e-4 * zt & |
---|
| 1418 | & -3.*1.852732e-2 ) * zt & |
---|
| 1419 | & -2.*30.41638 ) * zt & |
---|
| 1420 | & + 2098.925 ) |
---|
| 1421 | zkwad = 0.0_wp |
---|
| 1422 | |
---|
| 1423 | ztad = ztad + za1ad * ( ( 3.*2.326469e-3 * zt & |
---|
| 1424 | & +2.*1.553190 ) * zt & |
---|
| 1425 | & - 65.00517 ) |
---|
| 1426 | za1ad = 0.0_wp |
---|
| 1427 | |
---|
| 1428 | ztad = ztad + zb1ad * (-2.*0.1909078 * zt & |
---|
| 1429 | & + 7.390729 ) |
---|
| 1430 | zb1ad = 0.0_wp |
---|
| 1431 | |
---|
| 1432 | zawad = zawad + zaad |
---|
| 1433 | zsrad = zsrad + zaad * zd * zs |
---|
| 1434 | zcad = zcad + zaad * zs |
---|
| 1435 | zsad = zsad + zaad * ( zd * zsr + zc ) |
---|
| 1436 | zaad = 0.0_wp |
---|
| 1437 | |
---|
| 1438 | ztad = ztad + zawad * ( ( 3.*5.939910e-6 * zt & |
---|
| 1439 | & +2.*2.512549e-3 ) * zt & |
---|
| 1440 | & - 0.1028859 ) |
---|
| 1441 | zawad = 0.0_wp |
---|
| 1442 | |
---|
| 1443 | ztad = ztad + zcad * (-2.*7.267926e-5 * zt & |
---|
| 1444 | & + 2.598241e-3 ) |
---|
| 1445 | zcad = 0.0_wp |
---|
| 1446 | |
---|
| 1447 | |
---|
| 1448 | zsad = zsad + zbad * ze |
---|
| 1449 | zead = zead + zbad * zs |
---|
| 1450 | zbwad = zbwad + zbad |
---|
| 1451 | zbad = 0.0_wp |
---|
| 1452 | |
---|
| 1453 | ztad = ztad + zbwad * ( 2.*1.296821e-6 * zt & |
---|
| 1454 | & - 5.782165e-9 ) |
---|
| 1455 | zbwad = 0.0_wp |
---|
| 1456 | |
---|
| 1457 | ztad = ztad + zead * (-2.*3.508914e-8 * zt & |
---|
| 1458 | & - 1.248266e-8 ) |
---|
| 1459 | zead = 0.0_wp |
---|
| 1460 | |
---|
| 1461 | zrhopad = zrhopad + prhop_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1462 | prhop_ad(ji,jj,jk) = 0.0_wp |
---|
| 1463 | |
---|
| 1464 | zr1ad = zr1ad + zrhopad |
---|
| 1465 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1466 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1467 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1468 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1469 | & + zr3 * zsr ) |
---|
| 1470 | zrhopad = 0.0_wp |
---|
| 1471 | |
---|
| 1472 | ztad = ztad + zr3ad * (-2.*1.6546e-6 * zt & |
---|
| 1473 | & + 1.0227e-4 ) |
---|
| 1474 | zr3ad = 0.0_wp |
---|
| 1475 | |
---|
| 1476 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1477 | & -3.*8.2467e-7 ) * zt & |
---|
| 1478 | & +2.*7.6438e-5 ) * zt & |
---|
| 1479 | & - 4.0899e-3 ) |
---|
| 1480 | zr2ad = 0.0_wp |
---|
| 1481 | |
---|
| 1482 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1483 | & -4.*1.120083e-6 ) * zt & |
---|
| 1484 | & +3.*1.001685e-4 ) * zt & |
---|
| 1485 | & -2.*9.095290e-3 ) * zt & |
---|
| 1486 | & + 6.793952e-2 ) |
---|
| 1487 | zr1ad = 0.0_wp |
---|
| 1488 | |
---|
| 1489 | zsad = zsad + zsrad * ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 1490 | & * tmask(ji,jj,jk) |
---|
| 1491 | zsrad = 0.0_wp |
---|
| 1492 | |
---|
| 1493 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + zsad |
---|
| 1494 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + ztad |
---|
| 1495 | ztad = 0.0_wp |
---|
| 1496 | zsad = 0.0_wp |
---|
| 1497 | END DO |
---|
| 1498 | END DO |
---|
| 1499 | END DO |
---|
| 1500 | ! |
---|
| 1501 | CASE ( 1 ) !== Linear formulation = F( temperature ) ==! |
---|
| 1502 | DO jk = jpkm1, 1, -1 |
---|
| 1503 | prd_ad(:,:,jk) = prd_ad(:,:,jk) + rau0 * prhop_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1504 | prhop_ad(:,:,jk) = 0.0_wp |
---|
| 1505 | ptem_ad(:,:,jk) = ptem_ad(:,:,jk) - rn_alpha * prd_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1506 | prd_ad(:,:,jk) = 0.0_wp |
---|
| 1507 | END DO |
---|
| 1508 | ! |
---|
| 1509 | CASE ( 2 ) !== Linear formulation = F( temperature , salinity ) ==! |
---|
| 1510 | DO jk = 1, jpkm1 |
---|
| 1511 | prd_ad( :,:,jk) = prd_ad(:,:,jk) + rau0 * prhop_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1512 | prhop_ad(:,:,jk) = 0.0_wp |
---|
| 1513 | ptem_ad( :,:,jk) = ptem_ad(:,:,jk) - rn_alpha * prd_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1514 | psal_ad( :,:,jk) = psal_ad(:,:,jk) + rn_beta * prd_ad(:,:,jk) * tmask(:,:,jk) |
---|
| 1515 | prd_ad( :,:,jk) = 0.0_wp |
---|
| 1516 | END DO |
---|
| 1517 | ! |
---|
| 1518 | END SELECT |
---|
| 1519 | |
---|
| 1520 | END SUBROUTINE eos_insitu_pot_adj |
---|
| 1521 | |
---|
| 1522 | SUBROUTINE eos_pot_1pt_adj( ptem, psal, ptem_ad, psal_ad, prhop_ad ) |
---|
| 1523 | REAL(wp), INTENT( in ) :: & |
---|
| 1524 | ptem, & ! potential temperature |
---|
| 1525 | psal ! salinity |
---|
| 1526 | REAL(wp), INTENT( inout ) :: & |
---|
| 1527 | ptem_ad, & ! potential temperature |
---|
| 1528 | psal_ad ! salinity |
---|
| 1529 | REAL(wp), INTENT( inout ) :: & |
---|
| 1530 | prhop_ad ! potential density (surface referenced) |
---|
| 1531 | |
---|
| 1532 | !! * Local declarations |
---|
| 1533 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1534 | REAL(wp) :: & ! temporary scalars |
---|
| 1535 | & zt, zs, zsr, zr1, zr2, zr3, zr4, zrhop, & |
---|
| 1536 | & ztad, zsad, zsrad, zr1ad, zr2ad, zr3ad, zr4ad, zrhopad |
---|
| 1537 | REAL(wp) :: zws, zwsad, zeps |
---|
| 1538 | !!---------------------------------------------------------------------- |
---|
| 1539 | |
---|
| 1540 | #ifdef key_sp |
---|
| 1541 | zeps = 1.e-7 |
---|
| 1542 | #else |
---|
| 1543 | zeps = 1.e-14 |
---|
| 1544 | #endif |
---|
| 1545 | zwsad = 0.0_wp |
---|
| 1546 | ztad = 0.0_wp |
---|
| 1547 | zsad = 0.0_wp |
---|
| 1548 | zsrad = 0.0_wp |
---|
| 1549 | zr1ad = 0.0_wp |
---|
| 1550 | zr2ad = 0.0_wp |
---|
| 1551 | zr3ad = 0.0_wp |
---|
| 1552 | zr4ad = 0.0_wp |
---|
| 1553 | zrhopad = 0.0_wp |
---|
| 1554 | SELECT CASE ( nn_eos ) |
---|
| 1555 | |
---|
| 1556 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 1557 | zws = SQRT( ABS( psal ) ) |
---|
| 1558 | |
---|
| 1559 | zt = ptem |
---|
| 1560 | zs = psal |
---|
| 1561 | ! square root salinity |
---|
| 1562 | zsr= zws |
---|
| 1563 | ! compute volumic mass pure water at atm pressure |
---|
| 1564 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 1565 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 1566 | ! seawater volumic mass atm pressure |
---|
| 1567 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 1568 | -4.0899e-3 ) *zt+0.824493 |
---|
| 1569 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 1570 | zr4= 4.8314e-4 |
---|
| 1571 | |
---|
| 1572 | ! ============ |
---|
| 1573 | ! Adjoint part |
---|
| 1574 | ! ============ |
---|
| 1575 | ! save potential volumic mass |
---|
| 1576 | zrhopad = zrhopad + prhop_ad |
---|
| 1577 | prhop_ad = 0.0_wp |
---|
| 1578 | ! potential volumic mass (reference to the surface) |
---|
| 1579 | zr1ad = zr1ad + zrhopad |
---|
| 1580 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1581 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1582 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1583 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1584 | & + zr3 * zsr ) |
---|
| 1585 | zrhopad= 0.0_wp |
---|
| 1586 | |
---|
| 1587 | ! seawater volumic mass atm pressure |
---|
| 1588 | ztad = ztad + zr3ad * ( -2.*1.6546e-6 * zt & |
---|
| 1589 | & + 1.0227e-4 ) |
---|
| 1590 | zr3ad = 0.0_wp |
---|
| 1591 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1592 | & -3.*8.2467e-7 ) * zt & |
---|
| 1593 | & +2.*7.6438e-5 ) * zt & |
---|
| 1594 | & - 4.0899e-3 ) |
---|
| 1595 | zr2ad = 0.0_wp |
---|
| 1596 | ! compute volumic mass pure water at atm pressure |
---|
| 1597 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1598 | & -4.*1.120083e-6 ) * zt & |
---|
| 1599 | & +3.*1.001685e-4 ) * zt & |
---|
| 1600 | & -2.*9.095290e-3 ) * zt & |
---|
| 1601 | & + 6.793952e-2 ) |
---|
| 1602 | zr1ad = 0.0_wp |
---|
| 1603 | ! square root salinity |
---|
| 1604 | zwsad = zwsad + zsrad |
---|
| 1605 | zsrad = 0.0_wp |
---|
| 1606 | |
---|
| 1607 | ptem_ad = ptem_ad + ztad |
---|
| 1608 | psal_ad = psal_ad + zsad |
---|
| 1609 | ztad = 0.0_wp |
---|
| 1610 | zsad = 0.0_wp |
---|
| 1611 | |
---|
| 1612 | psal_ad = psal_ad + 1/MAX( 2*zws , zeps ) * zwsad |
---|
| 1613 | zwsad = 0.0_wp |
---|
| 1614 | |
---|
| 1615 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 1616 | |
---|
| 1617 | ! ... potential volumic mass |
---|
| 1618 | ptem_ad = ptem_ad - prhop_ad * rau0 * rn_alpha |
---|
| 1619 | prhop_ad = 0.0_wp |
---|
| 1620 | |
---|
| 1621 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 1622 | |
---|
| 1623 | ! ... potential volumic mass |
---|
| 1624 | ptem_ad = ptem_ad - prhop_ad * rau0 * rn_alpha |
---|
| 1625 | psal_ad = psal_ad + prhop_ad * rau0 * rn_beta |
---|
| 1626 | prhop_ad = 0.0_wp |
---|
| 1627 | |
---|
| 1628 | CASE DEFAULT |
---|
| 1629 | |
---|
| 1630 | WRITE(ctmp1,*) ' bad flag value for nn_eos = ', nn_eos |
---|
| 1631 | CALL ctl_stop( ctmp1 ) |
---|
| 1632 | |
---|
| 1633 | END SELECT |
---|
| 1634 | |
---|
| 1635 | END SUBROUTINE eos_pot_1pt_adj |
---|
| 1636 | SUBROUTINE eos_insitu_2d_adj( ptem, psal, pdep, ptem_ad, psal_ad, prd_ad ) |
---|
| 1637 | !!----------------------------------------------------------------------- |
---|
| 1638 | !! |
---|
| 1639 | !! *** ROUTINE eos_insitu_2d_adj : adj OF ROUTINE eos_insitu_2d *** |
---|
| 1640 | !! |
---|
| 1641 | !! ** Purpose of direct routine : Compute the in situ density |
---|
| 1642 | !! (ratio rho/rau0) from potential temperature and salinity |
---|
| 1643 | !! using an equation of state defined through the namelist |
---|
| 1644 | !! parameter nn_eos. * 2D field case |
---|
| 1645 | !! |
---|
| 1646 | !! ** Method of direct routine : 3 cases: |
---|
| 1647 | !! nn_eos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 1648 | !! the in situ density is computed directly as a function of |
---|
| 1649 | !! potential temperature relative to the surface (the opa t |
---|
| 1650 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 1651 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 1652 | !! is approximated by the depth in meters. |
---|
| 1653 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 1654 | !! with pressure p decibars |
---|
| 1655 | !! potential temperature t deg celsius |
---|
| 1656 | !! salinity s psu |
---|
| 1657 | !! reference volumic mass rau0 kg/m**3 |
---|
| 1658 | !! in situ volumic mass rho kg/m**3 |
---|
| 1659 | !! in situ density anomalie prd no units |
---|
| 1660 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 1661 | !! t = 40 deg celcius, s=40 psu |
---|
| 1662 | !! nn_eos = 1 : linear equation of state function of temperature only |
---|
| 1663 | !! prd(t) = 0.0285 - rn_alpha * t |
---|
| 1664 | !! nn_eos = 2 : linear equation of state function of temperature and |
---|
| 1665 | !! salinity |
---|
| 1666 | !! prd(t,s) = rn_beta * s - rn_alpha * tn - 1. |
---|
| 1667 | !! Note that no boundary condition problem occurs in this routine |
---|
| 1668 | !! as (ptem,psal) are defined over the whole domain. |
---|
| 1669 | !! |
---|
| 1670 | !! ** Comments on Adjoint Routine : |
---|
| 1671 | !! Care has been taken to avoid division by zero when computing |
---|
| 1672 | !! the inverse of the square root of salinity at masked salinity |
---|
| 1673 | !! points. |
---|
| 1674 | !! |
---|
| 1675 | !! ** Action : |
---|
| 1676 | !! |
---|
| 1677 | !! References : |
---|
| 1678 | !! |
---|
| 1679 | !! History : |
---|
| 1680 | !! 8.2 ! 05-03 ((F. Van den Berghe, A. Weaver, N. Daget) - eosadj.F |
---|
| 1681 | !! 9.0 ! 08-07 (A. Vidard) first version based on eosadj |
---|
| 1682 | !!----------------------------------------------------------------------- |
---|
| 1683 | !! * Modules used |
---|
| 1684 | !! * Arguments |
---|
| 1685 | REAL(wp), DIMENSION(jpi,jpj), INTENT( in ) :: & |
---|
| 1686 | & ptem, & ! potential temperature |
---|
| 1687 | & psal, & ! salinity |
---|
| 1688 | & pdep ! depth |
---|
| 1689 | REAL(wp), DIMENSION(jpi,jpj), INTENT( inout ) :: & |
---|
| 1690 | & ptem_ad, & ! TL of potential temperature |
---|
| 1691 | & psal_ad ! TL of salinity |
---|
| 1692 | REAL(wp), DIMENSION(jpi,jpj), INTENT( inout ) :: & |
---|
| 1693 | & prd_ad ! TL of potential density (surface referenced) |
---|
| 1694 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1695 | REAL(wp) :: & ! temporary scalars |
---|
| 1696 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 1697 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 1698 | ztad, zsad, zhad, zsrad, zr1ad, zr2ad, zr3ad, & |
---|
| 1699 | zr4ad, zrhopad, zead, zbwad, & |
---|
| 1700 | zbad, zdad, zcad, zawad, zaad, zb1ad, za1ad, & |
---|
| 1701 | zkwad, zk0ad, zpes, zrdc1, zrdc2, zeps, & |
---|
| 1702 | zmask |
---|
| 1703 | REAL(wp), DIMENSION(jpi,jpj) :: zws |
---|
| 1704 | !!---------------------------------------------------------------------- |
---|
| 1705 | |
---|
| 1706 | ! initialization of adjoint variables |
---|
| 1707 | ztad = 0.0_wp |
---|
| 1708 | zsad = 0.0_wp |
---|
| 1709 | zhad = 0.0_wp |
---|
| 1710 | zsrad = 0.0_wp |
---|
| 1711 | zr1ad = 0.0_wp |
---|
| 1712 | zr2ad = 0.0_wp |
---|
| 1713 | zr3ad = 0.0_wp |
---|
| 1714 | zr4ad = 0.0_wp |
---|
| 1715 | zrhopad = 0.0_wp |
---|
| 1716 | zead = 0.0_wp |
---|
| 1717 | zbwad = 0.0_wp |
---|
| 1718 | zbad = 0.0_wp |
---|
| 1719 | zdad = 0.0_wp |
---|
| 1720 | zcad = 0.0_wp |
---|
| 1721 | zawad = 0.0_wp |
---|
| 1722 | zaad = 0.0_wp |
---|
| 1723 | zb1ad = 0.0_wp |
---|
| 1724 | za1ad = 0.0_wp |
---|
| 1725 | zkwad = 0.0_wp |
---|
| 1726 | zk0ad = 0.0_wp |
---|
| 1727 | |
---|
| 1728 | |
---|
| 1729 | SELECT CASE ( nn_eos ) |
---|
| 1730 | |
---|
| 1731 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 1732 | |
---|
| 1733 | #ifdef key_sp |
---|
| 1734 | zeps = 1.e-7 |
---|
| 1735 | #else |
---|
| 1736 | zeps = 1.e-14 |
---|
| 1737 | #endif |
---|
| 1738 | |
---|
| 1739 | !CDIR NOVERRCHK |
---|
| 1740 | DO jj = 1, jpjm1 |
---|
| 1741 | !CDIR NOVERRCHK |
---|
| 1742 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1743 | zws(ji,jj) = SQRT( ABS( psal(ji,jj) ) ) |
---|
| 1744 | END DO |
---|
| 1745 | END DO |
---|
| 1746 | ! |
---|
| 1747 | DO jj = 1, jpjm1 |
---|
| 1748 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1749 | zmask = tmask(ji,jj,1) ! land/sea bottom mask = surf. mask |
---|
| 1750 | zt = ptem (ji,jj) ! interpolated T |
---|
| 1751 | zs = psal (ji,jj) ! interpolated S |
---|
| 1752 | zsr= zws(ji,jj) ! square root of interpolated S |
---|
| 1753 | zh = pdep(ji,jj) ! depth at the partial step level |
---|
| 1754 | ! compute volumic mass pure water at atm pressure |
---|
| 1755 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 1756 | & -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 1757 | ! seawater volumic mass atm pressure |
---|
| 1758 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 1759 | & -4.0899e-3 ) *zt+0.824493 |
---|
| 1760 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 1761 | zr4= 4.8314e-4 |
---|
| 1762 | |
---|
| 1763 | ! potential volumic mass (reference to the surface) |
---|
| 1764 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
| 1765 | |
---|
| 1766 | ! add the compression terms |
---|
| 1767 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
| 1768 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
| 1769 | zb = zbw + ze * zs |
---|
| 1770 | |
---|
| 1771 | zd = -2.042967e-2 |
---|
| 1772 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
| 1773 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
| 1774 | za = ( zd*zsr + zc ) *zs + zaw |
---|
| 1775 | |
---|
| 1776 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
| 1777 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
| 1778 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
| 1779 | zk0= ( zb1*zsr + za1 )*zs + zkw |
---|
| 1780 | |
---|
| 1781 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 1782 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 1783 | ! ============ |
---|
| 1784 | ! Adjoint part |
---|
| 1785 | ! ============ |
---|
| 1786 | |
---|
| 1787 | ! Masked in situ density anomaly |
---|
| 1788 | |
---|
| 1789 | zrhopad = zrhopad + prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1790 | & * zrdc2 / rau0 |
---|
| 1791 | zk0ad = zk0ad - prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1792 | & * zrdc2 * zrdc2 * zh & |
---|
| 1793 | & * zrdc1**2 * zrhop & |
---|
| 1794 | & / rau0 |
---|
| 1795 | zaad = zaad + prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1796 | & * zrdc2 * zrdc2 * zh & |
---|
| 1797 | & * zrdc1**2 * zrhop & |
---|
| 1798 | & * zh / rau0 |
---|
| 1799 | zbad = zbad - prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1800 | & * zrdc2 * zrdc2 * zh & |
---|
| 1801 | & * zrdc1**2 * zrhop & |
---|
| 1802 | & * zh * zh / rau0 |
---|
| 1803 | prd_ad(ji,jj) = 0.0_wp |
---|
| 1804 | |
---|
| 1805 | zkwad = zkwad + zk0ad |
---|
| 1806 | zsrad = zsrad + zk0ad * zb1 * zs |
---|
| 1807 | zb1ad = zb1ad + zk0ad * zs * zsr |
---|
| 1808 | za1ad = za1ad + zk0ad * zs |
---|
| 1809 | zsad = zsad + zk0ad * ( zb1 * zsr + za1 ) |
---|
| 1810 | zk0ad = 0.0_wp |
---|
| 1811 | |
---|
| 1812 | ztad = ztad + zkwad * ( ( (-4.*1.361629e-4 * zt & |
---|
| 1813 | & -3.*1.852732e-2 ) * zt & |
---|
| 1814 | & -2.*30.41638 ) * zt & |
---|
| 1815 | & + 2098.925 ) |
---|
| 1816 | zkwad = 0.0_wp |
---|
| 1817 | |
---|
| 1818 | ztad = ztad + za1ad * ( ( 3.*2.326469e-3 * zt & |
---|
| 1819 | & +2.*1.553190 ) * zt & |
---|
| 1820 | & - 65.00517 ) |
---|
| 1821 | za1ad = 0.0_wp |
---|
| 1822 | |
---|
| 1823 | ztad = ztad + zb1ad * (-2.*0.1909078 * zt & |
---|
| 1824 | & + 7.390729 ) |
---|
| 1825 | zb1ad = 0.0_wp |
---|
| 1826 | |
---|
| 1827 | zawad = zawad + zaad |
---|
| 1828 | zsrad = zsrad + zaad * zd * zs |
---|
| 1829 | zcad = zcad + zaad * zs |
---|
| 1830 | zsad = zsad + zaad * ( zd * zsr + zc ) |
---|
| 1831 | zaad = 0.0_wp |
---|
| 1832 | |
---|
| 1833 | ztad = ztad + zawad * ( ( 3.*5.939910e-6 * zt & |
---|
| 1834 | & +2.*2.512549e-3 ) * zt & |
---|
| 1835 | & - 0.1028859 ) |
---|
| 1836 | zawad = 0.0_wp |
---|
| 1837 | |
---|
| 1838 | ztad = ztad + zcad * (-2.*7.267926e-5 * zt & |
---|
| 1839 | & + 2.598241e-3 ) |
---|
| 1840 | zcad = 0.0_wp |
---|
| 1841 | |
---|
| 1842 | zbwad = zbwad + zbad |
---|
| 1843 | zead = zead + zbad * zs |
---|
| 1844 | zsad = zsad + zbad * ze |
---|
| 1845 | zbad = 0.0_wp |
---|
| 1846 | |
---|
| 1847 | ztad = ztad + zbwad * ( 2.*1.296821e-6 * zt & |
---|
| 1848 | & - 5.782165e-9 ) |
---|
| 1849 | zbwad = 0.0_wp |
---|
| 1850 | |
---|
| 1851 | ztad = ztad + zead * (-2.*3.508914e-8 * zt & |
---|
| 1852 | & - 1.248266e-8 ) |
---|
| 1853 | zead = 0.0_wp |
---|
| 1854 | |
---|
| 1855 | zr1ad = zr1ad + zrhopad |
---|
| 1856 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1857 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1858 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1859 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1860 | & + zr3 * zsr ) |
---|
| 1861 | zrhopad = 0.0_wp |
---|
| 1862 | |
---|
| 1863 | ztad = ztad + zr3ad * (-2.*1.6546e-6 * zt & |
---|
| 1864 | & + 1.0227e-4 ) |
---|
| 1865 | zr3ad = 0.0_wp |
---|
| 1866 | |
---|
| 1867 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1868 | & -3.*8.2467e-7 ) * zt & |
---|
| 1869 | & +2.*7.6438e-5 ) * zt & |
---|
| 1870 | & - 4.0899e-3 ) |
---|
| 1871 | zr2ad = 0.0_wp |
---|
| 1872 | |
---|
| 1873 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1874 | & -4.*1.120083e-6 ) * zt & |
---|
| 1875 | & +3.*1.001685e-4 ) * zt & |
---|
| 1876 | & -2.*9.095290e-3 ) * zt & |
---|
| 1877 | & + 6.793952e-2 ) |
---|
| 1878 | zr1ad = 0.0_wp |
---|
| 1879 | |
---|
| 1880 | zsad = zsad + zsrad * ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 1881 | & * tmask(ji,jj, 1) |
---|
| 1882 | zsrad = 0.0_wp |
---|
| 1883 | |
---|
| 1884 | psal_ad(ji,jj) = psal_ad(ji,jj) + zsad |
---|
| 1885 | ptem_ad(ji,jj) = ptem_ad(ji,jj) + ztad |
---|
| 1886 | ztad = 0.0_wp |
---|
| 1887 | zsad = 0.0_wp |
---|
| 1888 | END DO |
---|
| 1889 | END DO |
---|
| 1890 | ! |
---|
| 1891 | CASE ( 1 ) !== Linear formulation = F( temperature ) ==! |
---|
| 1892 | DO jj = 1, jpjm1 |
---|
| 1893 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1894 | ptem_ad(ji,jj) = ptem_ad(ji,jj) - prd_ad(ji,jj) * rn_alpha * tmask(ji,jj,1) |
---|
| 1895 | prd_ad(ji,jj) = 0.0_wp |
---|
| 1896 | END DO |
---|
| 1897 | END DO |
---|
| 1898 | ! |
---|
| 1899 | CASE ( 2 ) !== Linear formulation = F( temperature , salinity ) ==! |
---|
| 1900 | DO jj = 1, jpjm1 |
---|
| 1901 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1902 | ptem_ad(ji,jj) = ptem_ad(ji,jj) - prd_ad(ji,jj) * rn_alpha * tmask(ji,jj,1) |
---|
| 1903 | psal_ad(ji,jj) = psal_ad(ji,jj) + prd_ad(ji,jj) * rn_beta * tmask(ji,jj,1) |
---|
| 1904 | prd_ad (ji,jj) = 0.0_wp |
---|
| 1905 | END DO |
---|
| 1906 | END DO |
---|
| 1907 | ! |
---|
| 1908 | END SELECT |
---|
| 1909 | END SUBROUTINE eos_insitu_2d_adj |
---|
| 1910 | |
---|
| 1911 | SUBROUTINE eos_bn2_tan ( ptem, psal, ptem_tl, psal_tl, pn2_tl ) |
---|
| 1912 | !!---------------------------------------------------------------------- |
---|
| 1913 | !! *** ROUTINE eos_bn2_tan *** |
---|
| 1914 | !! |
---|
| 1915 | !! ** Purpose of the direct routine: Compute the local |
---|
| 1916 | !! Brunt-Vaisala frequency at the time-step of the input arguments |
---|
| 1917 | !! |
---|
| 1918 | !! ** Method of the direct routine: |
---|
| 1919 | !! * nn_eos = 0 : UNESCO sea water properties |
---|
| 1920 | !! The brunt-vaisala frequency is computed using the polynomial |
---|
| 1921 | !! polynomial expression of McDougall (1987): |
---|
| 1922 | !! N^2 = grav * beta * ( alpha/beta*dk[ t ] - dk[ s ] )/e3w |
---|
| 1923 | !! If lk_zdfddm=T, the heat/salt buoyancy flux ratio Rrau is |
---|
| 1924 | !! computed and used in zdfddm module : |
---|
| 1925 | !! Rrau = alpha/beta * ( dk[ t ] / dk[ s ] ) |
---|
| 1926 | !! * nn_eos = 1 : linear equation of state (temperature only) |
---|
| 1927 | !! N^2 = grav * rn_alpha * dk[ t ]/e3w |
---|
| 1928 | !! * nn_eos = 2 : linear equation of state (temperature & salinity) |
---|
| 1929 | !! N^2 = grav * (rn_alpha * dk[ t ] - rn_beta * dk[ s ] ) / e3w |
---|
| 1930 | !! The use of potential density to compute N^2 introduces e r r o r |
---|
| 1931 | !! in the sign of N^2 at great depths. We recommand the use of |
---|
| 1932 | !! nn_eos = 0, except for academical studies. |
---|
| 1933 | !! Macro-tasked on horizontal slab (jk-loop) |
---|
| 1934 | !! N.B. N^2 is set to zero at the first level (JK=1) in inidtr |
---|
| 1935 | !! and is never used at this level. |
---|
| 1936 | !! |
---|
| 1937 | !! ** Action : - pn2 : the brunt-vaisala frequency |
---|
| 1938 | !! |
---|
| 1939 | !! References : |
---|
| 1940 | !! McDougall, T. J., J. Phys. Oceanogr., 17, 1950-1964, 1987. |
---|
| 1941 | !! |
---|
| 1942 | !! History: |
---|
| 1943 | !! ! 08-07 (A. Vidard) First version |
---|
| 1944 | !!---------------------------------------------------------------------- |
---|
| 1945 | !! * Arguments |
---|
| 1946 | |
---|
| 1947 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1948 | ptem, & ! potential temperature |
---|
| 1949 | psal ! salinity |
---|
| 1950 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1951 | ptem_tl, & ! potential temperature |
---|
| 1952 | psal_tl ! salinity |
---|
| 1953 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out ) :: & |
---|
| 1954 | pn2_tl ! Brunt-Vaisala frequency |
---|
| 1955 | |
---|
| 1956 | !! * Local declarations |
---|
| 1957 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1958 | REAL(wp) :: & |
---|
| 1959 | zgde3w, zt, zs, zh, & ! temporary scalars |
---|
| 1960 | zalbet, zbeta ! " " |
---|
| 1961 | REAL(wp) :: & |
---|
| 1962 | zttl, zstl, & ! temporary scalars |
---|
| 1963 | zalbettl, zbetatl ! " " |
---|
| 1964 | #if defined key_zdfddm |
---|
| 1965 | REAL(wp) :: zds, zdstl ! temporary scalars |
---|
| 1966 | #endif |
---|
| 1967 | |
---|
| 1968 | ! pn2_tl : interior points only (2=< jk =< jpkm1 ) |
---|
| 1969 | ! -------------------------- |
---|
| 1970 | |
---|
| 1971 | SELECT CASE ( nn_eos ) |
---|
| 1972 | |
---|
| 1973 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 1974 | DO jk = 2, jpkm1 |
---|
| 1975 | DO jj = 1, jpj |
---|
| 1976 | DO ji = 1, jpi |
---|
| 1977 | zgde3w = grav / fse3w(ji,jj,jk) |
---|
| 1978 | zt = 0.5 * ( ptem(ji,jj,jk) + ptem(ji,jj,jk-1) ) ! potential temperature at w-point |
---|
| 1979 | zs = 0.5 * ( psal(ji,jj,jk) + psal(ji,jj,jk-1) ) - 35.0 ! salinity anomaly (s-35) at w-point |
---|
| 1980 | zh = fsdepw(ji,jj,jk) ! depth in meters at w-point |
---|
| 1981 | |
---|
| 1982 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
---|
| 1983 | & - 0.203814e-03 ) * zt & |
---|
| 1984 | & + 0.170907e-01 ) * zt & |
---|
| 1985 | & + 0.665157e-01 & |
---|
| 1986 | & + ( - 0.678662e-05 * zs & |
---|
| 1987 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
---|
| 1988 | & + ( ( - 0.302285e-13 * zh & |
---|
| 1989 | & - 0.251520e-11 * zs & |
---|
| 1990 | & + 0.512857e-12 * zt * zt ) * zh & |
---|
| 1991 | & - 0.164759e-06 * zs & |
---|
| 1992 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
---|
| 1993 | & + 0.380374e-04 ) * zh |
---|
| 1994 | |
---|
| 1995 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
---|
| 1996 | & - 0.301985e-05 ) * zt & |
---|
| 1997 | & + 0.785567e-03 & |
---|
| 1998 | & + ( 0.515032e-08 * zs & |
---|
| 1999 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
---|
| 2000 | & +( ( 0.121551e-17 * zh & |
---|
| 2001 | & - 0.602281e-15 * zs & |
---|
| 2002 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
---|
| 2003 | & + 0.408195e-10 * zs & |
---|
| 2004 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
---|
| 2005 | & - 0.121555e-07 ) * zh |
---|
| 2006 | |
---|
| 2007 | |
---|
| 2008 | !! tangent part |
---|
| 2009 | zttl = 0.5 * ( ptem_tl(ji,jj,jk) + ptem_tl(ji,jj,jk-1) ) ! potential temperature at w-point |
---|
| 2010 | zstl = 0.5 * ( psal_tl(ji,jj,jk) + psal_tl(ji,jj,jk-1) ) ! salinity anomaly at w-point |
---|
| 2011 | zalbettl = ( ( ( -4.*0.255019e-07 * zt &! ratio alpha/beta |
---|
| 2012 | & +3.*0.298357e-05 ) * zt & |
---|
| 2013 | & -2.*0.203814e-03 ) * zt & |
---|
| 2014 | & + 0.170907e-01 & |
---|
| 2015 | & - 0.846960e-04 * zs & |
---|
| 2016 | & - ( 0.933746e-06 & |
---|
| 2017 | & - ( 2.*0.791325e-08 & |
---|
| 2018 | & +2.*0.512857e-12 * zh ) * zt ) * zh ) * zttl & |
---|
| 2019 | & + ( - 2.*0.678662e-05 * zs & |
---|
| 2020 | & - 0.846960e-04 * zt & |
---|
| 2021 | & + 0.378110e-02 & |
---|
| 2022 | & + ( - 0.164759e-06 & |
---|
| 2023 | & - 0.251520e-11 * zh ) * zh ) * zstl |
---|
| 2024 | |
---|
| 2025 | zbetatl = ( ( -3.*0.415613e-09 * zt & |
---|
| 2026 | & +2.*0.555579e-07 ) * zt & |
---|
| 2027 | & - 0.301985e-05 & |
---|
| 2028 | & + 0.788212e-08 * zs & |
---|
| 2029 | & + ( -2.*0.213127e-11 * zt & |
---|
| 2030 | & - 0.175379e-14 * zh & |
---|
| 2031 | & + 0.192867e-09 ) * zh ) * zttl & |
---|
| 2032 | & + ( 2.*0.515032e-08 * zs & |
---|
| 2033 | & + 0.788212e-08 * zt & |
---|
| 2034 | & - 0.356603e-06 & |
---|
| 2035 | & + ( - 0.602281e-15 * zh & |
---|
| 2036 | & + 0.408195e-10 ) * zh ) * zstl |
---|
| 2037 | |
---|
| 2038 | pn2_tl(ji,jj,jk) = zgde3w * tmask(ji,jj,jk) * ( & |
---|
| 2039 | & zbeta * ( zalbet & |
---|
| 2040 | & * ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) & |
---|
| 2041 | & + zalbettl & |
---|
| 2042 | & * ( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) & |
---|
| 2043 | & - ( psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) ) ) & |
---|
| 2044 | & + zbetatl * ( zalbet & |
---|
| 2045 | & * ( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) & |
---|
| 2046 | & - ( psal (ji,jj,jk-1) - psal (ji,jj,jk) ) ) ) |
---|
| 2047 | #if defined key_zdfddm |
---|
| 2048 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2049 | zdstl = ( psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) ) |
---|
| 2050 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2051 | zds = 1.e-20 |
---|
| 2052 | rrau_tl(ji,jj,jk) = zalbettl * & |
---|
| 2053 | & ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds & |
---|
| 2054 | & + zalbet * & |
---|
| 2055 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds ) |
---|
| 2056 | ELSE |
---|
| 2057 | rrau_tl(ji,jj,jk) = zalbettl * & |
---|
| 2058 | & ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds & |
---|
| 2059 | & + zalbet * & |
---|
| 2060 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds & |
---|
| 2061 | & - ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) * zdstl/ zds**2 ) |
---|
| 2062 | ENDIF |
---|
| 2063 | #endif |
---|
| 2064 | END DO |
---|
| 2065 | END DO |
---|
| 2066 | END DO |
---|
| 2067 | ! |
---|
| 2068 | CASE ( 1 ) !== Linear formulation = F( temperature ) ==! |
---|
| 2069 | DO jk = 2, jpkm1 |
---|
| 2070 | pn2_tl(:,:,jk) = rn_alpha * ( ptem_tl(:,:,jk-1) - ptem_tl(:,:,jk) ) * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2071 | END DO |
---|
| 2072 | ! |
---|
| 2073 | CASE ( 2 ) !== Linear formulation = F( temperature , salinity ) ==! |
---|
| 2074 | DO jk = 2, jpkm1 |
---|
| 2075 | pn2_tl(:,:,jk) = ( rn_alpha * ( ptem_tl(:,:,jk-1) - ptem_tl(:,:,jk) ) & |
---|
| 2076 | & - rn_beta * ( psal_tl(:,:,jk-1) - psal_tl(:,:,jk) ) ) & |
---|
| 2077 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2078 | END DO |
---|
| 2079 | #if defined key_zdfddm |
---|
| 2080 | DO jk = 2, jpkm1 |
---|
| 2081 | DO jj = 1, jpj |
---|
| 2082 | DO ji = 1, jpi |
---|
| 2083 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2084 | zdstl = psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) |
---|
| 2085 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2086 | zds = 1.e-20 |
---|
| 2087 | rrau_tl(ji,jj,jk) = ralpbet * & |
---|
| 2088 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds ) |
---|
| 2089 | ELSE |
---|
| 2090 | rrau_tl(ji,jj,jk) = ralpbet * & |
---|
| 2091 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds & |
---|
| 2092 | & - ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) * zdstl / zds**2 ) |
---|
| 2093 | ENDIF |
---|
| 2094 | rrau(ji,jj,jk) = ralpbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
---|
| 2095 | END DO |
---|
| 2096 | END DO |
---|
| 2097 | END DO |
---|
| 2098 | #endif |
---|
| 2099 | END SELECT |
---|
| 2100 | |
---|
| 2101 | END SUBROUTINE eos_bn2_tan |
---|
| 2102 | |
---|
| 2103 | SUBROUTINE eos_bn2_adj ( ptem, psal, ptem_ad, psal_ad, pn2_ad ) |
---|
| 2104 | !!---------------------------------------------------------------------- |
---|
| 2105 | !! *** ROUTINE eos_bn2_adj *** |
---|
| 2106 | !! |
---|
| 2107 | !! ** Purpose of the direct routine: Compute the local |
---|
| 2108 | !! Brunt-Vaisala frequency at the time-step of the input arguments |
---|
| 2109 | !! |
---|
| 2110 | !! ** Method of the direct routine: |
---|
| 2111 | !! * nn_eos = 0 : UNESCO sea water properties |
---|
| 2112 | !! The brunt-vaisala frequency is computed using the polynomial |
---|
| 2113 | !! polynomial expression of McDougall (1987): |
---|
| 2114 | !! N^2 = grav * beta * ( alpha/beta*dk[ t ] - dk[ s ] )/e3w |
---|
| 2115 | !! If lk_zdfddm=T, the heat/salt buoyancy flux ratio Rrau is |
---|
| 2116 | !! computed and used in zdfddm module : |
---|
| 2117 | !! Rrau = alpha/beta * ( dk[ t ] / dk[ s ] ) |
---|
| 2118 | !! * nn_eos = 1 : linear equation of state (temperature only) |
---|
| 2119 | !! N^2 = grav * rn_alpha * dk[ t ]/e3w |
---|
| 2120 | !! * nn_eos = 2 : linear equation of state (temperature & salinity) |
---|
| 2121 | !! N^2 = grav * (rn_alpha * dk[ t ] - rn_beta * dk[ s ] ) / e3w |
---|
| 2122 | !! The use of potential density to compute N^2 introduces e r r o r |
---|
| 2123 | !! in the sign of N^2 at great depths. We recommand the use of |
---|
| 2124 | !! nn_eos = 0, except for academical studies. |
---|
| 2125 | !! Macro-tasked on horizontal slab (jk-loop) |
---|
| 2126 | !! N.B. N^2 is set to zero at the first level (JK=1) in inidtr |
---|
| 2127 | !! and is never used at this level. |
---|
| 2128 | !! |
---|
| 2129 | !! ** Action : - pn2 : the brunt-vaisala frequency |
---|
| 2130 | !! |
---|
| 2131 | !! References : |
---|
| 2132 | !! McDougall, T. J., J. Phys. Oceanogr., 17, 1950-1964, 1987. |
---|
| 2133 | !! |
---|
| 2134 | !! History: |
---|
| 2135 | !! ! 08-07 (A. Vidard) First version |
---|
| 2136 | !!---------------------------------------------------------------------- |
---|
| 2137 | !! * Arguments |
---|
| 2138 | |
---|
| 2139 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 2140 | ptem, & ! potential temperature |
---|
| 2141 | psal ! salinity |
---|
| 2142 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 2143 | ptem_ad, & ! adjoint potential temperature |
---|
| 2144 | psal_ad ! adjoint salinity |
---|
| 2145 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 2146 | pn2_ad ! adjoint Brunt-Vaisala frequency |
---|
| 2147 | |
---|
| 2148 | !! * Local declarations |
---|
| 2149 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 2150 | REAL(wp) :: & |
---|
| 2151 | zgde3w, zt, zs, zh, & ! temporary scalars |
---|
| 2152 | zalbet, zbeta ! " " |
---|
| 2153 | REAL(wp) :: & |
---|
| 2154 | ztad, zsad, & ! temporary scalars |
---|
| 2155 | zalbetad, zbetaad ! " " |
---|
| 2156 | #if defined key_zdfddm |
---|
| 2157 | REAL(wp) :: zds, zdsad ! temporary scalars |
---|
| 2158 | #endif |
---|
| 2159 | |
---|
| 2160 | ! pn2_tl : interior points only (2=< jk =< jpkm1 ) |
---|
| 2161 | ! -------------------------- |
---|
| 2162 | zalbetad = 0.0_wp |
---|
| 2163 | zbetaad = 0.0_wp |
---|
| 2164 | ztad = 0.0_wp |
---|
| 2165 | zsad = 0.0_wp |
---|
| 2166 | #if defined key_zdfddm |
---|
| 2167 | zdsad = 0.0_wp |
---|
| 2168 | #endif |
---|
| 2169 | |
---|
| 2170 | SELECT CASE ( nn_eos ) |
---|
| 2171 | |
---|
| 2172 | CASE ( 0 ) !== Jackett and McDougall (1994) formulation ==! |
---|
| 2173 | DO jk = jpkm1, 2, -1 |
---|
| 2174 | DO jj = jpj, 1, -1 |
---|
| 2175 | DO ji = jpi, 1, -1 |
---|
| 2176 | zgde3w = grav / fse3w(ji,jj,jk) |
---|
| 2177 | zt = 0.5 * ( ptem(ji,jj,jk) + ptem(ji,jj,jk-1) ) ! potential temperature at w-point |
---|
| 2178 | zs = 0.5 * ( psal(ji,jj,jk) + psal(ji,jj,jk-1) ) - 35.0 ! salinity anomaly (s-35) at w-point |
---|
| 2179 | zh = fsdepw(ji,jj,jk) ! depth in meters at w-point |
---|
| 2180 | |
---|
| 2181 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
---|
| 2182 | & - 0.203814e-03 ) * zt & |
---|
| 2183 | & + 0.170907e-01 ) * zt & |
---|
| 2184 | & + 0.665157e-01 & |
---|
| 2185 | & + ( - 0.678662e-05 * zs & |
---|
| 2186 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
---|
| 2187 | & + ( ( - 0.302285e-13 * zh & |
---|
| 2188 | & - 0.251520e-11 * zs & |
---|
| 2189 | & + 0.512857e-12 * zt * zt ) * zh & |
---|
| 2190 | & - 0.164759e-06 * zs & |
---|
| 2191 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
---|
| 2192 | & + 0.380374e-04 ) * zh |
---|
| 2193 | |
---|
| 2194 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
---|
| 2195 | & - 0.301985e-05 ) * zt & |
---|
| 2196 | & + 0.785567e-03 & |
---|
| 2197 | & + ( 0.515032e-08 * zs & |
---|
| 2198 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
---|
| 2199 | & +( ( 0.121551e-17 * zh & |
---|
| 2200 | & - 0.602281e-15 * zs & |
---|
| 2201 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
---|
| 2202 | & + 0.408195e-10 * zs & |
---|
| 2203 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
---|
| 2204 | & - 0.121555e-07 ) * zh |
---|
| 2205 | |
---|
| 2206 | |
---|
| 2207 | #if defined key_zdfddm |
---|
| 2208 | |
---|
| 2209 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2210 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2211 | zds = 1.e-20 |
---|
| 2212 | zdsad = 0.0_wp |
---|
| 2213 | ELSE |
---|
| 2214 | zdsad = rrau_ad(ji,jj,jk) * zalbet *( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds**2 |
---|
| 2215 | ENDIF |
---|
| 2216 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + rrau_ad(ji,jj,jk) * zalbet / zds |
---|
| 2217 | ptem_ad(ji,jj,jk ) = ptem_ad(ji,jj,jk ) - rrau_ad(ji,jj,jk) * zalbet / zds |
---|
| 2218 | zalbetad = zalbetad + rrau_ad(ji,jj,jk) * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
---|
| 2219 | rrau_ad(ji,jj,jk) = 0._wp |
---|
| 2220 | |
---|
| 2221 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) + zdsad |
---|
| 2222 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) - zdsad |
---|
| 2223 | zdsad = 0._wp |
---|
| 2224 | #endif |
---|
| 2225 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + zalbet*zbeta*zgde3w*tmask(ji,jj,jk)*pn2_ad(ji,jj,jk) |
---|
| 2226 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk ) - zalbet*zbeta*zgde3w*tmask(ji,jj,jk)*pn2_ad(ji,jj,jk) |
---|
| 2227 | zalbetad = zalbetad + zbeta*zgde3w*tmask(ji,jj,jk)*( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) *pn2_ad(ji,jj,jk) |
---|
| 2228 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) - zbeta*tmask(ji,jj,jk)*zgde3w*pn2_ad(ji,jj,jk) |
---|
| 2229 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) + zbeta*tmask(ji,jj,jk)*zgde3w*pn2_ad(ji,jj,jk) |
---|
| 2230 | zbetaad = zbetaad & |
---|
| 2231 | & + zgde3w *tmask(ji,jj,jk)* ( zalbet * ( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) & |
---|
| 2232 | & - ( psal (ji,jj,jk-1) - psal (ji,jj,jk) ) )*pn2_ad(ji,jj,jk) |
---|
| 2233 | |
---|
| 2234 | pn2_ad(ji,jj,jk) = 0.0_wp |
---|
| 2235 | |
---|
| 2236 | ztad = ztad + ( ( -3.*0.415613e-09 * zt & |
---|
| 2237 | & +2.*0.555579e-07 ) * zt & |
---|
| 2238 | & - 0.301985e-05 & |
---|
| 2239 | & + 0.788212e-08 * zs & |
---|
| 2240 | & + ( -2.*0.213127e-11 * zt & |
---|
| 2241 | & - 0.175379e-14 * zh & |
---|
| 2242 | & + 0.192867e-09 ) * zh ) *zbetaad |
---|
| 2243 | |
---|
| 2244 | zsad = zsad + ( 2.*0.515032e-08 * zs & |
---|
| 2245 | & + 0.788212e-08 * zt & |
---|
| 2246 | & - 0.356603e-06 & |
---|
| 2247 | & + ( - 0.602281e-15 * zh & |
---|
| 2248 | & + 0.408195e-10 ) * zh ) * zbetaad |
---|
| 2249 | |
---|
| 2250 | zbetaad = 0.0_wp |
---|
| 2251 | |
---|
| 2252 | ztad = ztad + ( ( ( -4.*0.255019e-07 * zt &! ratio alpha/beta |
---|
| 2253 | & +3.*0.298357e-05 ) * zt & |
---|
| 2254 | & -2.*0.203814e-03 ) * zt & |
---|
| 2255 | & + 0.170907e-01 & |
---|
| 2256 | & - 0.846960e-04 * zs & |
---|
| 2257 | & - ( 0.933746e-06 & |
---|
| 2258 | & - ( 2.*0.791325e-08 & |
---|
| 2259 | & +2.*0.512857e-12 * zh ) * zt ) * zh & |
---|
| 2260 | & ) *zalbetad |
---|
| 2261 | |
---|
| 2262 | zsad = zsad + ( - 2.*0.678662e-05 * zs & |
---|
| 2263 | & - 0.846960e-04 * zt & |
---|
| 2264 | & + 0.378110e-02 & |
---|
| 2265 | & + ( - 0.164759e-06 & |
---|
| 2266 | & - 0.251520e-11 * zh ) * zh & |
---|
| 2267 | & ) *zalbetad |
---|
| 2268 | |
---|
| 2269 | zalbetad = 0.0_wp |
---|
| 2270 | |
---|
| 2271 | |
---|
| 2272 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + 0.5 * zsad |
---|
| 2273 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) + 0.5 * zsad |
---|
| 2274 | zsad = 0.0_wp |
---|
| 2275 | |
---|
| 2276 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + 0.5 * ztad |
---|
| 2277 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + 0.5 * ztad |
---|
| 2278 | ztad = 0.0_wp |
---|
| 2279 | |
---|
| 2280 | END DO |
---|
| 2281 | END DO |
---|
| 2282 | END DO |
---|
| 2283 | ! |
---|
| 2284 | CASE ( 1 ) !== Linear formulation = F( temperature ) ==! |
---|
| 2285 | DO jk = jpkm1, 2, -1 |
---|
| 2286 | ptem_ad(:,:,jk-1) = ptem_ad(:,:,jk-1) + rn_alpha * pn2_ad(:,:,jk) & |
---|
| 2287 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2288 | ptem_ad(:,:,jk ) = ptem_ad(:,:,jk ) - rn_alpha * pn2_ad(:,:,jk) & |
---|
| 2289 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2290 | pn2_ad(:,:,jk) = 0.0_wp |
---|
| 2291 | END DO |
---|
| 2292 | ! |
---|
| 2293 | CASE ( 2 ) !== Linear formulation = F( temperature , salinity ) ==! |
---|
| 2294 | #if defined key_zdfddm |
---|
| 2295 | DO jk = jpkm1, 2, -1 |
---|
| 2296 | DO jj = jpj, 1, -1 |
---|
| 2297 | DO ji = jpi, 1, -1 |
---|
| 2298 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2299 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2300 | zds = 1.e-20 |
---|
| 2301 | zdsad = 0.0_wp |
---|
| 2302 | ELSE |
---|
| 2303 | zdsad = zdsad - rrau_ad(ji,jj,jk) * ralpbet & |
---|
| 2304 | & * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds**2 |
---|
| 2305 | ENDIF |
---|
| 2306 | rrau(ji,jj,jk) = ralpbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
---|
| 2307 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) & |
---|
| 2308 | & + rrau_ad(ji,jj,jk) * ralpbet / zds |
---|
| 2309 | ptem_ad(ji,jj,jk ) = ptem_ad(ji,jj,jk ) & |
---|
| 2310 | & - rrau_ad(ji,jj,jk) * ralpbet / zds |
---|
| 2311 | rrau_ad(ji,jj,jk) = 0._wp |
---|
| 2312 | |
---|
| 2313 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) + zdsad |
---|
| 2314 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) - zdsad |
---|
| 2315 | zdsad = 0._wp |
---|
| 2316 | END DO |
---|
| 2317 | END DO |
---|
| 2318 | END DO |
---|
| 2319 | #endif |
---|
| 2320 | DO jk = jpkm1, 2, -1 |
---|
| 2321 | ptem_ad(:,:,jk-1) = ptem_ad(:,:,jk-1) + rn_alpha * pn2_ad(:,:,jk) & |
---|
| 2322 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2323 | ptem_ad(:,:,jk ) = ptem_ad(:,:,jk ) - rn_alpha * pn2_ad(:,:,jk) & |
---|
| 2324 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2325 | psal_ad(:,:,jk-1) = psal_ad(:,:,jk-1) - rn_beta * pn2_ad(:,:,jk) & |
---|
| 2326 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2327 | psal_ad(:,:,jk ) = psal_ad(:,:,jk ) + rn_beta * pn2_ad(:,:,jk) & |
---|
| 2328 | & * grav / fse3w(:,:,jk) * tmask(:,:,jk) |
---|
| 2329 | pn2_ad(:,:,jk) = 0.0_wp |
---|
| 2330 | END DO |
---|
| 2331 | END SELECT |
---|
| 2332 | |
---|
| 2333 | END SUBROUTINE eos_bn2_adj |
---|
| 2334 | |
---|
| 2335 | #if defined key_tam |
---|
| 2336 | SUBROUTINE eos_insitu_adj_tst( kumadt ) |
---|
| 2337 | !!----------------------------------------------------------------------- |
---|
| 2338 | !! |
---|
| 2339 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2340 | !! |
---|
| 2341 | !! ** Purpose : Test the adjoint routine. |
---|
| 2342 | !! |
---|
| 2343 | !! ** Method : Verify the scalar product |
---|
| 2344 | !! |
---|
| 2345 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2346 | !! |
---|
| 2347 | !! where L = tangent routine |
---|
| 2348 | !! L^T = adjoint routine |
---|
| 2349 | !! W = diagonal matrix of scale factors |
---|
| 2350 | !! dx = input perturbation (random field) |
---|
| 2351 | !! dy = L dx |
---|
| 2352 | !! |
---|
| 2353 | !! |
---|
| 2354 | !! History : |
---|
| 2355 | !! ! 08-07 (A. Vidard) |
---|
| 2356 | !!----------------------------------------------------------------------- |
---|
| 2357 | !! * Modules used |
---|
| 2358 | |
---|
| 2359 | !! * Arguments |
---|
| 2360 | INTEGER, INTENT(IN) :: & |
---|
| 2361 | & kumadt ! Output unit |
---|
| 2362 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2363 | ztem, & ! potential temperature |
---|
| 2364 | zsal ! salinity |
---|
| 2365 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2366 | & zt_adout, & ! potential temperature |
---|
| 2367 | & zs_adout ! salinity |
---|
| 2368 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2369 | & zrd_adin ! anomaly density |
---|
| 2370 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2371 | & zt_tlin, & ! potential temperature |
---|
| 2372 | & zs_tlin ! salinity |
---|
| 2373 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2374 | & znt, & ! potential temperature |
---|
| 2375 | & zns ! salinity |
---|
| 2376 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2377 | & zrd_tlout ! anomaly density |
---|
| 2378 | REAL(KIND=wp) :: & |
---|
| 2379 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2380 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2381 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2382 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2383 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2384 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2385 | INTEGER :: & |
---|
| 2386 | & ji, & |
---|
| 2387 | & jj, & |
---|
| 2388 | & jk, & |
---|
| 2389 | & jn, & |
---|
| 2390 | & jeos |
---|
| 2391 | |
---|
| 2392 | CHARACTER(LEN=14) :: cl_name |
---|
| 2393 | |
---|
| 2394 | ALLOCATE( & |
---|
| 2395 | & ztem( jpi, jpj, jpk ), & |
---|
| 2396 | & zsal( jpi, jpj, jpk ), & |
---|
| 2397 | & znt( jpi, jpj, jpk ), & |
---|
| 2398 | & zns( jpi, jpj, jpk ), & |
---|
| 2399 | & zt_adout( jpi, jpj, jpk ), & |
---|
| 2400 | & zs_adout( jpi, jpj, jpk ), & |
---|
| 2401 | & zrd_adin( jpi, jpj, jpk ), & |
---|
| 2402 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 2403 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 2404 | & zrd_tlout(jpi, jpj, jpk ) ) |
---|
| 2405 | ! Initialize the reference state |
---|
| 2406 | ztem(:,:,:) = tn(:,:,:) |
---|
| 2407 | zsal(:,:,:) = sn(:,:,:) |
---|
| 2408 | |
---|
| 2409 | ! store initial nn_eos |
---|
| 2410 | jeos = nn_eos |
---|
| 2411 | DO jn = 0, 2 |
---|
| 2412 | nn_eos = jn |
---|
| 2413 | !============================================================= |
---|
| 2414 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2415 | !============================================================= |
---|
| 2416 | |
---|
| 2417 | !-------------------------------------------------------------------- |
---|
| 2418 | ! Reset the tangent and adjoint variables |
---|
| 2419 | !-------------------------------------------------------------------- |
---|
| 2420 | zt_tlin(:,:,:) = 0.0_wp |
---|
| 2421 | zs_tlin(:,:,:) = 0.0_wp |
---|
| 2422 | zrd_tlout(:,:,:) = 0.0_wp |
---|
| 2423 | zt_adout(:,:,:) = 0.0_wp |
---|
| 2424 | zs_adout(:,:,:) = 0.0_wp |
---|
| 2425 | zrd_adin(:,:,:) = 0.0_wp |
---|
| 2426 | |
---|
| 2427 | !-------------------------------------------------------------------- |
---|
| 2428 | ! Initialize the tangent input with random noise: dx |
---|
| 2429 | !-------------------------------------------------------------------- |
---|
| 2430 | DO jj = 1, jpj |
---|
| 2431 | DO ji = 1, jpi |
---|
| 2432 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2433 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2434 | END DO |
---|
| 2435 | END DO |
---|
| 2436 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2437 | DO jj = 1, jpj |
---|
| 2438 | DO ji = 1, jpi |
---|
| 2439 | iseed_2d(ji,jj) = - ( 395703 + & |
---|
| 2440 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2441 | END DO |
---|
| 2442 | END DO |
---|
| 2443 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2444 | |
---|
| 2445 | DO jk = 1, jpk |
---|
| 2446 | DO jj = nldj, nlej |
---|
| 2447 | DO ji = nldi, nlei |
---|
| 2448 | zt_tlin(ji,jj,jk) = znt(ji,jj,jk) |
---|
| 2449 | zs_tlin(ji,jj,jk) = zns(ji,jj,jk) |
---|
| 2450 | END DO |
---|
| 2451 | END DO |
---|
| 2452 | END DO |
---|
| 2453 | |
---|
| 2454 | CALL eos_insitu_tan(ztem, zsal, zt_tlin, zs_tlin, zrd_tlout) |
---|
| 2455 | |
---|
| 2456 | DO jk = 1, jpk |
---|
| 2457 | DO jj = nldj, nlej |
---|
| 2458 | DO ji = nldi, nlei |
---|
| 2459 | zrd_adin(ji,jj,jk) = zrd_tlout(ji,jj,jk) & |
---|
| 2460 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk)& |
---|
| 2461 | & * tmask(ji,jj,jk) |
---|
| 2462 | END DO |
---|
| 2463 | END DO |
---|
| 2464 | END DO |
---|
| 2465 | |
---|
| 2466 | !-------------------------------------------------------------------- |
---|
| 2467 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2468 | !-------------------------------------------------------------------- |
---|
| 2469 | |
---|
| 2470 | zsp1 = DOT_PRODUCT( zrd_tlout, zrd_adin ) |
---|
| 2471 | |
---|
| 2472 | !-------------------------------------------------------------------- |
---|
| 2473 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 2474 | !-------------------------------------------------------------------- |
---|
| 2475 | |
---|
| 2476 | CALL eos_insitu_adj(ztem, zsal, zt_adout, zs_adout, zrd_adin) |
---|
| 2477 | |
---|
| 2478 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 2479 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 2480 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 2481 | |
---|
| 2482 | ! Compare the scalar products |
---|
| 2483 | |
---|
| 2484 | ! Compare the scalar products |
---|
| 2485 | ! 14 char:'12345678901234' |
---|
| 2486 | SELECT CASE( jn ) |
---|
| 2487 | CASE (0) ; cl_name = 'eos_adj ins T1' |
---|
| 2488 | CASE (1) ; cl_name = 'eos_adj ins T2' |
---|
| 2489 | CASE (2) ; cl_name = 'eos_adj ins T3' |
---|
| 2490 | END SELECT |
---|
| 2491 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2492 | ENDDO |
---|
| 2493 | ! restore initial nn_eos |
---|
| 2494 | nn_eos = jeos |
---|
| 2495 | |
---|
| 2496 | ! Deallocate memory |
---|
| 2497 | |
---|
| 2498 | DEALLOCATE( & |
---|
| 2499 | & ztem, & |
---|
| 2500 | & zsal, & |
---|
| 2501 | & zt_adout, & |
---|
| 2502 | & zs_adout, & |
---|
| 2503 | & zrd_adin, & |
---|
| 2504 | & zt_tlin, & |
---|
| 2505 | & zs_tlin, & |
---|
| 2506 | & zrd_tlout, & |
---|
| 2507 | & znt, & |
---|
| 2508 | & zns & |
---|
| 2509 | & ) |
---|
| 2510 | |
---|
| 2511 | |
---|
| 2512 | END SUBROUTINE eos_insitu_adj_tst |
---|
| 2513 | SUBROUTINE eos_insitu_pot_adj_tst( kumadt ) |
---|
| 2514 | !!----------------------------------------------------------------------- |
---|
| 2515 | !! |
---|
| 2516 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2517 | !! |
---|
| 2518 | !! ** Purpose : Test the adjoint routine. |
---|
| 2519 | !! |
---|
| 2520 | !! ** Method : Verify the scalar product |
---|
| 2521 | !! |
---|
| 2522 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2523 | !! |
---|
| 2524 | !! where L = tangent routine |
---|
| 2525 | !! L^T = adjoint routine |
---|
| 2526 | !! W = diagonal matrix of scale factors |
---|
| 2527 | !! dx = input perturbation (random field) |
---|
| 2528 | !! dy = L dx |
---|
| 2529 | !! |
---|
| 2530 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 2531 | !! |
---|
| 2532 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 2533 | !! |
---|
| 2534 | !! History : |
---|
| 2535 | !! ! 08-07 (A. Vidard) |
---|
| 2536 | !!----------------------------------------------------------------------- |
---|
| 2537 | !! * Modules used |
---|
| 2538 | |
---|
| 2539 | !! * Arguments |
---|
| 2540 | INTEGER, INTENT(IN) :: & |
---|
| 2541 | & kumadt ! Output unit |
---|
| 2542 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2543 | ztem, & ! potential temperature |
---|
| 2544 | zsal ! salinity |
---|
| 2545 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2546 | & zt_adout, & ! potential temperature |
---|
| 2547 | & zs_adout ! salinity |
---|
| 2548 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2549 | & zrd_adin ! anomaly density |
---|
| 2550 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2551 | & zrhop_adin ! volume mass |
---|
| 2552 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2553 | & zt_tlin, & ! potential temperature |
---|
| 2554 | & zs_tlin ! salinity |
---|
| 2555 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2556 | & znt, & ! potential temperature |
---|
| 2557 | & zns ! salinity |
---|
| 2558 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2559 | & zrd_tlout ! anomaly density |
---|
| 2560 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2561 | & zrhop_tlout ! volume mass |
---|
| 2562 | REAL(KIND=wp) :: & |
---|
| 2563 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2564 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2565 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2566 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2567 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2568 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2569 | INTEGER :: & |
---|
| 2570 | & ji, & |
---|
| 2571 | & jj, & |
---|
| 2572 | & jk, & |
---|
| 2573 | & jn, & |
---|
| 2574 | & jeos |
---|
| 2575 | CHARACTER(LEN=14) :: cl_name |
---|
| 2576 | |
---|
| 2577 | ! Allocate memory |
---|
| 2578 | ALLOCATE( & |
---|
| 2579 | & ztem( jpi, jpj, jpk ), & |
---|
| 2580 | & zsal( jpi, jpj, jpk ), & |
---|
| 2581 | & zt_adout( jpi, jpj, jpk ), & |
---|
| 2582 | & zs_adout( jpi, jpj, jpk ), & |
---|
| 2583 | & zrhop_adin( jpi, jpj, jpk ), & |
---|
| 2584 | & zrd_adin( jpi, jpj, jpk ), & |
---|
| 2585 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 2586 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 2587 | & zns( jpi, jpj, jpk ), & |
---|
| 2588 | & znt( jpi, jpj, jpk ), & |
---|
| 2589 | & zrd_tlout(jpi, jpj, jpk ), & |
---|
| 2590 | & zrhop_tlout(jpi, jpj, jpk ) ) |
---|
| 2591 | |
---|
| 2592 | ! Initialize random field standard deviationsthe reference state |
---|
| 2593 | ztem = tn |
---|
| 2594 | zsal = sn |
---|
| 2595 | |
---|
| 2596 | ! store initial nn_eos |
---|
| 2597 | jeos = nn_eos |
---|
| 2598 | DO jn = 0, 2 |
---|
| 2599 | nn_eos = jn |
---|
| 2600 | !============================================= |
---|
| 2601 | ! testing of eos_insitu_pot |
---|
| 2602 | !============================================= |
---|
| 2603 | |
---|
| 2604 | !============================================================= |
---|
| 2605 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2606 | !============================================================= |
---|
| 2607 | |
---|
| 2608 | !-------------------------------------------------------------------- |
---|
| 2609 | ! Reset the tangent and adjoint variables |
---|
| 2610 | !-------------------------------------------------------------------- |
---|
| 2611 | zt_tlin(:,:,:) = 0.0_wp |
---|
| 2612 | zs_tlin(:,:,:) = 0.0_wp |
---|
| 2613 | zrd_tlout(:,:,:) = 0.0_wp |
---|
| 2614 | zrhop_tlout(:,:,:) = 0.0_wp |
---|
| 2615 | zt_adout(:,:,:) = 0.0_wp |
---|
| 2616 | zs_adout(:,:,:) = 0.0_wp |
---|
| 2617 | zrhop_adin(:,:,:) = 0.0_wp |
---|
| 2618 | zrd_adin(:,:,:) = 0.0_wp |
---|
| 2619 | |
---|
| 2620 | !-------------------------------------------------------------------- |
---|
| 2621 | ! Initialize the tangent input with random noise: dx |
---|
| 2622 | !-------------------------------------------------------------------- |
---|
| 2623 | DO jj = 1, jpj |
---|
| 2624 | DO ji = 1, jpi |
---|
| 2625 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2626 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2627 | END DO |
---|
| 2628 | END DO |
---|
| 2629 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2630 | DO jj = 1, jpj |
---|
| 2631 | DO ji = 1, jpi |
---|
| 2632 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2633 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2634 | END DO |
---|
| 2635 | END DO |
---|
| 2636 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2637 | DO jk = 1, jpk |
---|
| 2638 | DO jj = nldj, nlej |
---|
| 2639 | DO ji = nldi, nlei |
---|
| 2640 | zt_tlin(ji,jj,jk) = znt(ji,jj,jk) |
---|
| 2641 | zs_tlin(ji,jj,jk) = zns(ji,jj,jk) |
---|
| 2642 | END DO |
---|
| 2643 | END DO |
---|
| 2644 | END DO |
---|
| 2645 | !-------------------------------------------------------------------- |
---|
| 2646 | ! Call the tangent routine: dy = L dx |
---|
| 2647 | !-------------------------------------------------------------------- |
---|
| 2648 | |
---|
| 2649 | call eos_insitu_pot_tan ( ztem, zsal, zt_tlin, zs_tlin, zrd_tlout, zrhop_tlout ) |
---|
| 2650 | |
---|
| 2651 | !-------------------------------------------------------------------- |
---|
| 2652 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 2653 | !-------------------------------------------------------------------- |
---|
| 2654 | DO jk = 1, jpk |
---|
| 2655 | DO jj = nldj, nlej |
---|
| 2656 | DO ji = nldi, nlei |
---|
| 2657 | zrd_adin(ji,jj,jk) = zrd_tlout(ji,jj,jk) & |
---|
| 2658 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk)& |
---|
| 2659 | & * tmask(ji,jj,jk) |
---|
| 2660 | zrhop_adin(ji,jj,jk) = zrhop_tlout(ji,jj,jk) & |
---|
| 2661 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk)& |
---|
| 2662 | & * tmask(ji,jj,jk) |
---|
| 2663 | END DO |
---|
| 2664 | END DO |
---|
| 2665 | END DO |
---|
| 2666 | |
---|
| 2667 | !-------------------------------------------------------------------- |
---|
| 2668 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2669 | !-------------------------------------------------------------------- |
---|
| 2670 | |
---|
| 2671 | zsp1 = DOT_PRODUCT( zrd_tlout , zrd_adin ) & |
---|
| 2672 | & + DOT_PRODUCT( zrhop_tlout, zrhop_adin ) |
---|
| 2673 | !-------------------------------------------------------------------- |
---|
| 2674 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 2675 | !-------------------------------------------------------------------- |
---|
| 2676 | |
---|
| 2677 | CALL eos_insitu_pot_adj( ztem, zsal, zt_adout, zs_adout, zrd_adin, zrhop_adin ) |
---|
| 2678 | !-------------------------------------------------------------------- |
---|
| 2679 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 2680 | !-------------------------------------------------------------------- |
---|
| 2681 | |
---|
| 2682 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 2683 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 2684 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 2685 | ! Compare the scalar products |
---|
| 2686 | |
---|
| 2687 | ! 14 char:'12345678901234' |
---|
| 2688 | SELECT CASE( jn ) |
---|
| 2689 | CASE (0) ; cl_name = 'eos_adj pot T1' |
---|
| 2690 | CASE (1) ; cl_name = 'eos_adj pot T2' |
---|
| 2691 | CASE (2) ; cl_name = 'eos_adj pot T3' |
---|
| 2692 | END SELECT |
---|
| 2693 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2694 | |
---|
| 2695 | ENDDO |
---|
| 2696 | |
---|
| 2697 | ! restore initial nn_eos |
---|
| 2698 | nn_eos = jeos |
---|
| 2699 | |
---|
| 2700 | ! Deallocate memory |
---|
| 2701 | DEALLOCATE( & |
---|
| 2702 | & ztem, & |
---|
| 2703 | & zsal, & |
---|
| 2704 | & zt_adout, & |
---|
| 2705 | & zs_adout, & |
---|
| 2706 | & zrd_adin, & |
---|
| 2707 | & zrhop_adin, & |
---|
| 2708 | & zt_tlin, & |
---|
| 2709 | & zs_tlin, & |
---|
| 2710 | & zrd_tlout, & |
---|
| 2711 | & zrhop_tlout,& |
---|
| 2712 | & zns, znt ) |
---|
| 2713 | |
---|
| 2714 | END SUBROUTINE eos_insitu_pot_adj_tst |
---|
| 2715 | SUBROUTINE eos_insitu_2d_adj_tst( kumadt ) |
---|
| 2716 | !!----------------------------------------------------------------------- |
---|
| 2717 | !! |
---|
| 2718 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2719 | !! |
---|
| 2720 | !! ** Purpose : Test the adjoint routine. |
---|
| 2721 | !! |
---|
| 2722 | !! ** Method : Verify the scalar product |
---|
| 2723 | !! |
---|
| 2724 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2725 | !! |
---|
| 2726 | !! where L = tangent routine |
---|
| 2727 | !! L^T = adjoint routine |
---|
| 2728 | !! W = diagonal matrix of scale factors |
---|
| 2729 | !! dx = input perturbation (random field) |
---|
| 2730 | !! dy = L dx |
---|
| 2731 | !! |
---|
| 2732 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 2733 | !! |
---|
| 2734 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 2735 | !! |
---|
| 2736 | !! History : |
---|
| 2737 | !! ! 08-07 (A. Vidard) |
---|
| 2738 | !!----------------------------------------------------------------------- |
---|
| 2739 | !! * Modules used |
---|
| 2740 | |
---|
| 2741 | !! * Arguments |
---|
| 2742 | INTEGER, INTENT(IN) :: & |
---|
| 2743 | & kumadt ! Output unit |
---|
| 2744 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2745 | zdep ! depth |
---|
| 2746 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2747 | ztem, & ! potential temperature |
---|
| 2748 | zsal ! salinity |
---|
| 2749 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2750 | & zt_adout, & ! potential temperature |
---|
| 2751 | & zs_adout ! salinity |
---|
| 2752 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2753 | & zrd_adin ! anomaly density |
---|
| 2754 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2755 | & zt_tlin, & ! potential temperature |
---|
| 2756 | & zs_tlin ! salinity |
---|
| 2757 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2758 | & znt, & ! potential temperature |
---|
| 2759 | & zns ! salinity |
---|
| 2760 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2761 | & zrd_tlout ! anomaly density |
---|
| 2762 | REAL(KIND=wp) :: & |
---|
| 2763 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2764 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2765 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2766 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2767 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2768 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2769 | INTEGER :: & |
---|
| 2770 | & ji, & |
---|
| 2771 | & jj, & |
---|
| 2772 | & jn, & |
---|
| 2773 | & jeos |
---|
| 2774 | CHARACTER(LEN=14) :: cl_name |
---|
| 2775 | |
---|
| 2776 | ! Allocate memory |
---|
| 2777 | |
---|
| 2778 | ALLOCATE( & |
---|
| 2779 | & zdep( jpi, jpj ), & |
---|
| 2780 | & ztem( jpi, jpj ), & |
---|
| 2781 | & zsal( jpi, jpj ), & |
---|
| 2782 | & znt( jpi, jpj ), & |
---|
| 2783 | & zns( jpi, jpj ), & |
---|
| 2784 | & zt_adout( jpi, jpj ), & |
---|
| 2785 | & zs_adout( jpi, jpj ), & |
---|
| 2786 | & zrd_adin( jpi, jpj ), & |
---|
| 2787 | & zs_tlin( jpi, jpj ), & |
---|
| 2788 | & zt_tlin( jpi, jpj ), & |
---|
| 2789 | & zrd_tlout(jpi, jpj ) ) |
---|
| 2790 | |
---|
| 2791 | ! Initialize the reference state |
---|
| 2792 | ztem(:,:) = tn(:,:,2) |
---|
| 2793 | zsal(:,:) = sn(:,:,2) |
---|
| 2794 | zdep(:,:) = fsdept(:,:,2) |
---|
| 2795 | |
---|
| 2796 | ! store initial nn_eos |
---|
| 2797 | jeos = nn_eos |
---|
| 2798 | DO jn = 0, 2 |
---|
| 2799 | nn_eos = jn |
---|
| 2800 | !============================================================= |
---|
| 2801 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2802 | !============================================================= |
---|
| 2803 | |
---|
| 2804 | !-------------------------------------------------------------------- |
---|
| 2805 | ! Reset the tangent and adjoint variables |
---|
| 2806 | !-------------------------------------------------------------------- |
---|
| 2807 | zt_tlin(:,:) = 0.0_wp |
---|
| 2808 | zs_tlin(:,:) = 0.0_wp |
---|
| 2809 | zrd_tlout(:,:) = 0.0_wp |
---|
| 2810 | zt_adout(:,:) = 0.0_wp |
---|
| 2811 | zs_adout(:,:) = 0.0_wp |
---|
| 2812 | zrd_adin(:,:) = 0.0_wp |
---|
| 2813 | |
---|
| 2814 | !-------------------------------------------------------------------- |
---|
| 2815 | ! Initialize the tangent input with random noise: dx |
---|
| 2816 | !-------------------------------------------------------------------- |
---|
| 2817 | DO jj = 1, jpj |
---|
| 2818 | DO ji = 1, jpi |
---|
| 2819 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2820 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2821 | END DO |
---|
| 2822 | END DO |
---|
| 2823 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2824 | DO jj = 1, jpj |
---|
| 2825 | DO ji = 1, jpi |
---|
| 2826 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2827 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2828 | END DO |
---|
| 2829 | END DO |
---|
| 2830 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2831 | DO jj = nldj, nlej |
---|
| 2832 | DO ji = nldi, nlei |
---|
| 2833 | zt_tlin(ji,jj) = znt(ji,jj) |
---|
| 2834 | zs_tlin(ji,jj) = zns(ji,jj) |
---|
| 2835 | END DO |
---|
| 2836 | END DO |
---|
| 2837 | |
---|
| 2838 | CALL eos_insitu_2d_tan(ztem, zsal, zdep, zt_tlin, zs_tlin, zrd_tlout) |
---|
| 2839 | |
---|
| 2840 | DO jj = nldj, nlej |
---|
| 2841 | DO ji = nldi, nlei |
---|
| 2842 | zrd_adin(ji,jj) = zrd_tlout(ji,jj) & |
---|
| 2843 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,2)& |
---|
| 2844 | & * tmask(ji,jj,2) |
---|
| 2845 | END DO |
---|
| 2846 | END DO |
---|
| 2847 | |
---|
| 2848 | !-------------------------------------------------------------------- |
---|
| 2849 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2850 | !-------------------------------------------------------------------- |
---|
| 2851 | |
---|
| 2852 | zsp1 = DOT_PRODUCT( zrd_tlout, zrd_adin ) |
---|
| 2853 | |
---|
| 2854 | !-------------------------------------------------------------------- |
---|
| 2855 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 2856 | !-------------------------------------------------------------------- |
---|
| 2857 | |
---|
| 2858 | CALL eos_insitu_2d_adj(ztem, zsal, zdep, zt_adout, zs_adout, zrd_adin) |
---|
| 2859 | |
---|
| 2860 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 2861 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 2862 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 2863 | |
---|
| 2864 | ! Compare the scalar products |
---|
| 2865 | |
---|
| 2866 | ! 14 char:'12345678901234' |
---|
| 2867 | SELECT CASE( jn ) |
---|
| 2868 | CASE (0) ; cl_name = 'eos_adj 2d T1' |
---|
| 2869 | CASE (1) ; cl_name = 'eos_adj 2d T2' |
---|
| 2870 | CASE (2) ; cl_name = 'eos_adj 2d T3' |
---|
| 2871 | END SELECT |
---|
| 2872 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2873 | |
---|
| 2874 | ENDDO |
---|
| 2875 | |
---|
| 2876 | ! restore initial nn_eos |
---|
| 2877 | nn_eos = jeos |
---|
| 2878 | |
---|
| 2879 | ! Deallocate memory |
---|
| 2880 | |
---|
| 2881 | DEALLOCATE( & |
---|
| 2882 | & zdep, & |
---|
| 2883 | & ztem, & |
---|
| 2884 | & zsal, & |
---|
| 2885 | & zt_adout, & |
---|
| 2886 | & zs_adout, & |
---|
| 2887 | & zrd_adin, & |
---|
| 2888 | & zt_tlin, & |
---|
| 2889 | & zs_tlin, & |
---|
| 2890 | & zrd_tlout, & |
---|
| 2891 | & zns, znt ) |
---|
| 2892 | |
---|
| 2893 | |
---|
| 2894 | END SUBROUTINE eos_insitu_2d_adj_tst |
---|
| 2895 | SUBROUTINE eos_pot_1pt_adj_tst( kumadt ) |
---|
| 2896 | !!----------------------------------------------------------------------- |
---|
| 2897 | !! |
---|
| 2898 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2899 | !! |
---|
| 2900 | !! ** Purpose : Test the adjoint routine. |
---|
| 2901 | !! |
---|
| 2902 | !! ** Method : Verify the scalar product |
---|
| 2903 | !! |
---|
| 2904 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2905 | !! |
---|
| 2906 | !! where L = tangent routine |
---|
| 2907 | !! L^T = adjoint routine |
---|
| 2908 | !! W = diagonal matrix of scale factors |
---|
| 2909 | !! dx = input perturbation (random field) |
---|
| 2910 | !! dy = L dx |
---|
| 2911 | !! |
---|
| 2912 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 2913 | !! |
---|
| 2914 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 2915 | !! |
---|
| 2916 | !! History : |
---|
| 2917 | !! ! 08-07 (A. Vidard) |
---|
| 2918 | !!----------------------------------------------------------------------- |
---|
| 2919 | !! * Modules used |
---|
| 2920 | |
---|
| 2921 | !! * Arguments |
---|
| 2922 | INTEGER, INTENT(IN) :: & |
---|
| 2923 | & kumadt ! Output unit |
---|
| 2924 | |
---|
| 2925 | !! * Local declarations |
---|
| 2926 | REAL(KIND=wp) :: & |
---|
| 2927 | & ztem, & |
---|
| 2928 | & zsal, & |
---|
| 2929 | & zt_tlin, & |
---|
| 2930 | & zs_tlin, & |
---|
| 2931 | & zrhop_tlout, & |
---|
| 2932 | & zt_adout, & |
---|
| 2933 | & zs_adout, & |
---|
| 2934 | & zrhop_adin |
---|
| 2935 | REAL(KIND=wp) :: & |
---|
| 2936 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2937 | & zsp2 ! scalar product involving the adjoint routine |
---|
| 2938 | CHARACTER(LEN=14) :: cl_name |
---|
| 2939 | |
---|
| 2940 | INTEGER :: & |
---|
| 2941 | & jn, & |
---|
| 2942 | & jeos |
---|
| 2943 | |
---|
| 2944 | ! Initialize the reference state |
---|
| 2945 | ztem = 23.7 |
---|
| 2946 | zsal = 30.1 |
---|
| 2947 | ! store initial nn_eos |
---|
| 2948 | jeos = nn_eos |
---|
| 2949 | DO jn = 0, 2 |
---|
| 2950 | nn_eos = jn |
---|
| 2951 | !================================================================== |
---|
| 2952 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
---|
| 2953 | ! dy = ( hdivb_tl, hdivn_tl ) |
---|
| 2954 | !================================================================== |
---|
| 2955 | |
---|
| 2956 | !-------------------------------------------------------------------- |
---|
| 2957 | ! Reset the tangent and adjoint variables |
---|
| 2958 | !-------------------------------------------------------------------- |
---|
| 2959 | |
---|
| 2960 | zt_tlin = 1.12_wp |
---|
| 2961 | zs_tlin = 0.123_wp |
---|
| 2962 | zrhop_tlout = 0.0_wp |
---|
| 2963 | zt_adout = 0.0_wp |
---|
| 2964 | zs_adout = 0.0_wp |
---|
| 2965 | zrhop_adin = 0.0_wp |
---|
| 2966 | |
---|
| 2967 | CALL eos_pot_1pt_tan( ztem, zsal, zt_tlin, zs_tlin, zrhop_tlout ) |
---|
| 2968 | |
---|
| 2969 | !-------------------------------------------------------------------- |
---|
| 2970 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 2971 | !-------------------------------------------------------------------- |
---|
| 2972 | |
---|
| 2973 | zrhop_adin = zrhop_tlout * e1t(1,1) * e2t(1,1) * fse3t(1,1,1) |
---|
| 2974 | |
---|
| 2975 | !-------------------------------------------------------------------- |
---|
| 2976 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2977 | !-------------------------------------------------------------------- |
---|
| 2978 | |
---|
| 2979 | zsp1 = zrhop_adin * zrhop_tlout |
---|
| 2980 | |
---|
| 2981 | CALL eos_pot_1pt_adj( ztem, zsal, zt_adout, zs_adout, zrhop_adin ) |
---|
| 2982 | |
---|
| 2983 | zsp2 = zt_tlin * zt_adout + zs_tlin * zs_adout |
---|
| 2984 | |
---|
| 2985 | ! 14 char:'12345678901234' |
---|
| 2986 | SELECT CASE( jn ) |
---|
| 2987 | CASE (0) ; cl_name = 'eos_adj 1pt T1' |
---|
| 2988 | CASE (1) ; cl_name = 'eos_adj 1pt T2' |
---|
| 2989 | CASE (2) ; cl_name = 'eos_adj 1pt T3' |
---|
| 2990 | END SELECT |
---|
| 2991 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2992 | ENDDO |
---|
| 2993 | ! restore initial nn_eos |
---|
| 2994 | nn_eos = jeos |
---|
| 2995 | |
---|
| 2996 | END SUBROUTINE eos_pot_1pt_adj_tst |
---|
| 2997 | SUBROUTINE eos_adj_tst( kumadt ) |
---|
| 2998 | !!----------------------------------------------------------------------- |
---|
| 2999 | !! |
---|
| 3000 | !! *** ROUTINE eos_adj_tst *** |
---|
| 3001 | !! |
---|
| 3002 | !! ** Purpose : Test the adjoint routine. |
---|
| 3003 | !! |
---|
| 3004 | !! History : |
---|
| 3005 | !! ! 08-07 (A. Vidard) |
---|
| 3006 | !!----------------------------------------------------------------------- |
---|
| 3007 | !! * Arguments |
---|
| 3008 | INTEGER, INTENT(IN) :: & |
---|
| 3009 | & kumadt ! Output unit |
---|
| 3010 | |
---|
| 3011 | CALL eos_insitu_adj_tst( kumadt ) |
---|
| 3012 | |
---|
| 3013 | CALL eos_insitu_pot_adj_tst( kumadt ) |
---|
| 3014 | |
---|
| 3015 | CALL eos_insitu_2d_adj_tst( kumadt ) |
---|
| 3016 | |
---|
| 3017 | CALL eos_pot_1pt_adj_tst( kumadt ) |
---|
| 3018 | |
---|
| 3019 | END SUBROUTINE eos_adj_tst |
---|
| 3020 | SUBROUTINE bn2_adj_tst( kumadt ) |
---|
| 3021 | !!----------------------------------------------------------------------- |
---|
| 3022 | !! |
---|
| 3023 | !! *** ROUTINE bn2_adj_tst *** |
---|
| 3024 | !! |
---|
| 3025 | !! ** Purpose : Test the adjoint routine. |
---|
| 3026 | !! |
---|
| 3027 | !! ** Method : Verify the scalar product |
---|
| 3028 | !! |
---|
| 3029 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 3030 | !! |
---|
| 3031 | !! where L = tangent routine |
---|
| 3032 | !! L^T = adjoint routine |
---|
| 3033 | !! W = diagonal matrix of scale factors |
---|
| 3034 | !! dx = input perturbation (random field) |
---|
| 3035 | !! dy = L dx |
---|
| 3036 | !! |
---|
| 3037 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 3038 | !! |
---|
| 3039 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 3040 | !! |
---|
| 3041 | !! History : |
---|
| 3042 | !! ! 08-07 (A. Vidard) |
---|
| 3043 | !!----------------------------------------------------------------------- |
---|
| 3044 | !! * Modules used |
---|
| 3045 | |
---|
| 3046 | !! * Arguments |
---|
| 3047 | INTEGER, INTENT(IN) :: & |
---|
| 3048 | & kumadt ! Output unit |
---|
| 3049 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3050 | ztem, & ! potential temperature |
---|
| 3051 | zsal ! salinity |
---|
| 3052 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3053 | & zt_adout, & ! potential temperature |
---|
| 3054 | & zs_adout ! salinity |
---|
| 3055 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3056 | & zrd_adin, & ! potential density (surface referenced) |
---|
| 3057 | & zrd_adout ! potential density (surface referenced) |
---|
| 3058 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3059 | & zt_tlin, & ! potential temperature |
---|
| 3060 | & zs_tlin, & ! salinity |
---|
| 3061 | & zt_tlout, & ! potential temperature |
---|
| 3062 | & zs_tlout ! salinity |
---|
| 3063 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3064 | & zrd_tlout ! potential density (surface referenced) |
---|
| 3065 | REAL(KIND=wp) :: & |
---|
| 3066 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 3067 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 3068 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 3069 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 3070 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3071 | & znt, & ! potential temperature |
---|
| 3072 | & zns ! salinity |
---|
| 3073 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 3074 | & iseed_2d ! 2D seed for the random number generator |
---|
| 3075 | INTEGER :: & |
---|
| 3076 | & iseed, & |
---|
| 3077 | & ji, & |
---|
| 3078 | & jj, & |
---|
| 3079 | & jk, & |
---|
| 3080 | & jn, & |
---|
| 3081 | & jeos |
---|
| 3082 | CHARACTER(LEN=14) :: cl_name |
---|
| 3083 | |
---|
| 3084 | ! Allocate memory |
---|
| 3085 | ALLOCATE( & |
---|
| 3086 | & ztem( jpi, jpj, jpk ), & |
---|
| 3087 | & zsal( jpi, jpj, jpk ), & |
---|
| 3088 | & zt_adout( jpi, jpj, jpk ), & |
---|
| 3089 | & zs_adout( jpi, jpj, jpk ), & |
---|
| 3090 | & zrd_adin( jpi, jpj, jpk ), & |
---|
| 3091 | & zrd_adout(jpi, jpj, jpk ), & |
---|
| 3092 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 3093 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 3094 | & zns( jpi, jpj, jpk ), & |
---|
| 3095 | & znt( jpi, jpj, jpk ), & |
---|
| 3096 | & zt_tlout( jpi, jpj, jpk ), & |
---|
| 3097 | & zs_tlout( jpi, jpj, jpk ), & |
---|
| 3098 | & zrd_tlout(jpi, jpj, jpk ) ) |
---|
| 3099 | |
---|
| 3100 | ! Initialize random field standard deviationsthe reference state |
---|
| 3101 | ztem = tn |
---|
| 3102 | zsal = sn |
---|
| 3103 | ! store initial nn_eos |
---|
| 3104 | jeos = nn_eos |
---|
| 3105 | DO jn = 0, 2 |
---|
| 3106 | nn_eos = jn |
---|
| 3107 | !============================================================= |
---|
| 3108 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 3109 | !============================================================= |
---|
| 3110 | |
---|
| 3111 | !-------------------------------------------------------------------- |
---|
| 3112 | ! Reset the tangent and adjoint variables |
---|
| 3113 | !-------------------------------------------------------------------- |
---|
| 3114 | zt_tlin(:,:,:) = 0.0_wp |
---|
| 3115 | zs_tlin(:,:,:) = 0.0_wp |
---|
| 3116 | zt_tlout(:,:,:) = 0.0_wp |
---|
| 3117 | zs_tlout(:,:,:) = 0.0_wp |
---|
| 3118 | zrd_tlout(:,:,:) = 0.0_wp |
---|
| 3119 | zt_adout(:,:,:) = 0.0_wp |
---|
| 3120 | zs_adout(:,:,:) = 0.0_wp |
---|
| 3121 | zrd_adin(:,:,:) = 0.0_wp |
---|
| 3122 | zrd_adout(:,:,:) = 0.0_wp |
---|
| 3123 | |
---|
| 3124 | !-------------------------------------------------------------------- |
---|
| 3125 | ! Initialize the tangent input with random noise: dx |
---|
| 3126 | !-------------------------------------------------------------------- |
---|
| 3127 | DO jj = 1, jpj |
---|
| 3128 | DO ji = 1, jpi |
---|
| 3129 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 3130 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 3131 | END DO |
---|
| 3132 | END DO |
---|
| 3133 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 3134 | DO jj = 1, jpj |
---|
| 3135 | DO ji = 1, jpi |
---|
| 3136 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 3137 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 3138 | END DO |
---|
| 3139 | END DO |
---|
| 3140 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 3141 | DO jk = 1, jpk |
---|
| 3142 | DO jj = nldj, nlej |
---|
| 3143 | DO ji = nldi, nlei |
---|
| 3144 | zt_tlin(ji,jj,jk) = znt(ji,jj,jk) |
---|
| 3145 | zs_tlin(ji,jj,jk) = zns(ji,jj,jk) |
---|
| 3146 | END DO |
---|
| 3147 | END DO |
---|
| 3148 | END DO |
---|
| 3149 | !-------------------------------------------------------------------- |
---|
| 3150 | ! Call the tangent routine: dy = L dx |
---|
| 3151 | !-------------------------------------------------------------------- |
---|
| 3152 | zt_tlout(:,:,:) = zt_tlin |
---|
| 3153 | zs_tlout(:,:,:) = zs_tlin |
---|
| 3154 | |
---|
| 3155 | CALL eos_bn2_tan( ztem, zsal, zt_tlout, zs_tlout, zrd_tlout ) |
---|
| 3156 | !-------------------------------------------------------------------- |
---|
| 3157 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 3158 | !-------------------------------------------------------------------- |
---|
| 3159 | DO jk = 1, jpk |
---|
| 3160 | DO jj = nldj, nlej |
---|
| 3161 | DO ji = nldi, nlei |
---|
| 3162 | zrd_adin(ji,jj,jk) = zrd_tlout(ji,jj,jk) & |
---|
| 3163 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
| 3164 | & * tmask(ji,jj,jk) |
---|
| 3165 | END DO |
---|
| 3166 | END DO |
---|
| 3167 | END DO |
---|
| 3168 | |
---|
| 3169 | !-------------------------------------------------------------------- |
---|
| 3170 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 3171 | !-------------------------------------------------------------------- |
---|
| 3172 | |
---|
| 3173 | zsp1 = DOT_PRODUCT( zrd_tlout, zrd_adin ) |
---|
| 3174 | |
---|
| 3175 | !-------------------------------------------------------------------- |
---|
| 3176 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 3177 | !-------------------------------------------------------------------- |
---|
| 3178 | |
---|
| 3179 | zrd_adout(:,:,:) = zrd_adin(:,:,:) |
---|
| 3180 | |
---|
| 3181 | CALL eos_bn2_adj( ztem, zsal, zt_adout, zs_adout, zrd_adout ) |
---|
| 3182 | |
---|
| 3183 | !-------------------------------------------------------------------- |
---|
| 3184 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 3185 | !-------------------------------------------------------------------- |
---|
| 3186 | |
---|
| 3187 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 3188 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 3189 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 3190 | |
---|
| 3191 | ! Compare the scalar products |
---|
| 3192 | |
---|
| 3193 | ! 14 char:'12345678901234' |
---|
| 3194 | SELECT CASE( jn ) |
---|
| 3195 | CASE (0) ; cl_name = 'bn2_adj T1' |
---|
| 3196 | CASE (1) ; cl_name = 'bn2_adj T2' |
---|
| 3197 | CASE (2) ; cl_name = 'bn2_adj T3' |
---|
| 3198 | END SELECT |
---|
| 3199 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 3200 | ENDDO |
---|
| 3201 | ! restore initial nn_eos |
---|
| 3202 | nn_eos = jeos |
---|
| 3203 | |
---|
| 3204 | ! Deallocate memory |
---|
| 3205 | |
---|
| 3206 | DEALLOCATE( & |
---|
| 3207 | & ztem, & |
---|
| 3208 | & zsal, & |
---|
| 3209 | & zt_adout, & |
---|
| 3210 | & zs_adout, & |
---|
| 3211 | & zrd_adin, & |
---|
| 3212 | & zrd_adout, & |
---|
| 3213 | & zt_tlin, & |
---|
| 3214 | & zs_tlin, & |
---|
| 3215 | & zt_tlout, & |
---|
| 3216 | & zs_tlout, & |
---|
| 3217 | & zrd_tlout, & |
---|
| 3218 | & zns, znt ) |
---|
| 3219 | |
---|
| 3220 | |
---|
| 3221 | END SUBROUTINE bn2_adj_tst |
---|
| 3222 | #if defined key_tst_tlm |
---|
| 3223 | SUBROUTINE eos_insitu_tlm_tst( kumadt ) |
---|
| 3224 | !!----------------------------------------------------------------------- |
---|
| 3225 | !! |
---|
| 3226 | !! *** ROUTINE eos_insitu_tlm_tst *** |
---|
| 3227 | !! |
---|
| 3228 | !! ** Purpose : Test the tangent routine. |
---|
| 3229 | !! |
---|
| 3230 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3231 | !! |
---|
| 3232 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3233 | !! |
---|
| 3234 | !! where L = tangent routine |
---|
| 3235 | !! M = direct routine |
---|
| 3236 | !! dx = input perturbation (random field) |
---|
| 3237 | !! h = ration on perturbation |
---|
| 3238 | !! |
---|
| 3239 | !! In the tangent test we verify that: |
---|
| 3240 | !! M(x+h*dx) - M(x) |
---|
| 3241 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3242 | !! L(h*dx) |
---|
| 3243 | !! and |
---|
| 3244 | !! g(h) - 1 |
---|
| 3245 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3246 | !! p |
---|
| 3247 | !! |
---|
| 3248 | !! History : |
---|
| 3249 | !! ! 09-08 (A. Vigilant) |
---|
| 3250 | !!----------------------------------------------------------------------- |
---|
| 3251 | !! * Modules used |
---|
| 3252 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3253 | & eos |
---|
| 3254 | USE tamtrj ! writing out state trajectory |
---|
| 3255 | USE par_tlm, ONLY: & |
---|
| 3256 | & tlm_bch, & |
---|
| 3257 | & cur_loop, & |
---|
| 3258 | & h_ratio |
---|
| 3259 | USE istate_mod |
---|
| 3260 | USE gridrandom, ONLY: & |
---|
| 3261 | & grid_rd_sd |
---|
| 3262 | USE trj_tam |
---|
| 3263 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3264 | & tn, sn, rhd, rhop |
---|
| 3265 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 3266 | & nitend, & |
---|
| 3267 | & nit000 |
---|
| 3268 | USE tamctl, ONLY: & ! Control parameters |
---|
| 3269 | & numtan, numtan_sc |
---|
| 3270 | !! * Arguments |
---|
| 3271 | INTEGER, INTENT(IN) :: & |
---|
| 3272 | & kumadt ! Output unit |
---|
| 3273 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3274 | & zrd_out, & ! |
---|
| 3275 | & zt_tlin , & ! |
---|
| 3276 | & zs_tlin , & |
---|
| 3277 | & zrd_tl , & |
---|
| 3278 | & zrd_wop, & |
---|
| 3279 | & z3r |
---|
| 3280 | REAL(KIND=wp) :: & |
---|
| 3281 | & zsp1, & |
---|
| 3282 | & zsp2, & |
---|
| 3283 | & zsp3, & |
---|
| 3284 | & zzsp, & |
---|
| 3285 | & gamma, & |
---|
| 3286 | & zgsp1, & |
---|
| 3287 | & zgsp2, & |
---|
| 3288 | & zgsp3, & |
---|
| 3289 | & zgsp4, & |
---|
| 3290 | & zgsp5, & |
---|
| 3291 | & zgsp6, & |
---|
| 3292 | & zgsp7 |
---|
| 3293 | INTEGER :: & |
---|
| 3294 | & ji, & |
---|
| 3295 | & jj, & |
---|
| 3296 | & jk |
---|
| 3297 | CHARACTER(LEN=14) :: cl_name |
---|
| 3298 | CHARACTER (LEN=128) :: file_out_sc, file_wop, file_out, file_xdx |
---|
| 3299 | CHARACTER (LEN=90) :: FMT |
---|
| 3300 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 3301 | & zscrd, zscerrrd |
---|
| 3302 | INTEGER, DIMENSION(100):: & |
---|
| 3303 | & iiposrd, ijposrd, ikposrd |
---|
| 3304 | INTEGER:: & |
---|
| 3305 | & ii, numsctlm, & |
---|
| 3306 | & numtlm, & |
---|
| 3307 | & isamp=40,jsamp=40, ksamp=10 |
---|
| 3308 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 3309 | & zerrrd |
---|
| 3310 | ALLOCATE( & |
---|
| 3311 | & zrd_out( jpi, jpj, jpk ), & |
---|
| 3312 | & zrd_tl( jpi, jpj, jpk ), & |
---|
| 3313 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 3314 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 3315 | & zrd_wop( jpi, jpj, jpk ), & |
---|
| 3316 | & z3r ( jpi, jpj, jpk ) ) |
---|
| 3317 | |
---|
| 3318 | !-------------------------------------------------------------------- |
---|
| 3319 | ! Reset the tangent and adjoint variables |
---|
| 3320 | !-------------------------------------------------------------------- |
---|
| 3321 | zt_tlin( :,:,:) = 0.0_wp |
---|
| 3322 | zs_tlin( :,:,:) = 0.0_wp |
---|
| 3323 | zrd_out( :,:,:) = 0.0_wp |
---|
| 3324 | zrd_wop( :,:,:) = 0.0_wp |
---|
| 3325 | zscerrrd(:) = 0.0_wp |
---|
| 3326 | zscrd(:) = 0.0_wp |
---|
| 3327 | IF ( tlm_bch == 2 ) zrd_tl ( :,:,:) = 0.0_wp |
---|
| 3328 | !-------------------------------------------------------------------- |
---|
| 3329 | ! Output filename Xn=F(X0) |
---|
| 3330 | !-------------------------------------------------------------------- |
---|
| 3331 | ! CALL tlm_namrd |
---|
| 3332 | gamma = h_ratio |
---|
| 3333 | file_wop='trj_wop_eos_insitu' |
---|
| 3334 | file_xdx='trj_xdx_eos_insitu' |
---|
| 3335 | !-------------------------------------------------------------------- |
---|
| 3336 | ! Initialize the tangent input with random noise: dx |
---|
| 3337 | !-------------------------------------------------------------------- |
---|
| 3338 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3339 | CALL grid_rd_sd( 596035, z3r, 'T', 0.0_wp, stdt) |
---|
| 3340 | DO jk = 1, jpk |
---|
| 3341 | DO jj = nldj, nlej |
---|
| 3342 | DO ji = nldi, nlei |
---|
| 3343 | zt_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3344 | END DO |
---|
| 3345 | END DO |
---|
| 3346 | END DO |
---|
| 3347 | CALL grid_rd_sd( 371836, z3r, 'S', 0.0_wp, stds) |
---|
| 3348 | DO jk = 1, jpk |
---|
| 3349 | DO jj = nldj, nlej |
---|
| 3350 | DO ji = nldi, nlei |
---|
| 3351 | zs_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3352 | END DO |
---|
| 3353 | END DO |
---|
| 3354 | END DO |
---|
| 3355 | ENDIF |
---|
| 3356 | |
---|
| 3357 | !-------------------------------------------------------------------- |
---|
| 3358 | ! Complete Init for Direct |
---|
| 3359 | !------------------------------------------------------------------- |
---|
| 3360 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
| 3361 | |
---|
| 3362 | ! *** initialize the reference trajectory |
---|
| 3363 | ! ------------ |
---|
| 3364 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3365 | CALL trj_rea( nit000, 1 ) |
---|
| 3366 | |
---|
| 3367 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3368 | zt_tlin(:,:,:) = gamma * zt_tlin(:,:,:) |
---|
| 3369 | tn(:,:,:) = tn(:,:,:) + zt_tlin(:,:,:) |
---|
| 3370 | |
---|
| 3371 | zs_tlin(:,:,:) = gamma * zs_tlin(:,:,:) |
---|
| 3372 | sn(:,:,:) = sn(:,:,:) + zs_tlin(:,:,:) |
---|
| 3373 | ENDIF |
---|
| 3374 | !-------------------------------------------------------------------- |
---|
| 3375 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 3376 | !-------------------------------------------------------------------- |
---|
| 3377 | IF ( tlm_bch /= 2 ) CALL eos(tn, sn, zrd_out) |
---|
| 3378 | rhd(:,:,:)= zrd_out(:,:,:) |
---|
| 3379 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 3380 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
| 3381 | !-------------------------------------------------------------------- |
---|
| 3382 | ! Compute the Tangent |
---|
| 3383 | !-------------------------------------------------------------------- |
---|
| 3384 | IF ( tlm_bch == 2 ) THEN |
---|
| 3385 | !-------------------------------------------------------------------- |
---|
| 3386 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 3387 | !-------------------------------------------------------------------- |
---|
| 3388 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3389 | CALL trj_rea( nit000, 1 ) |
---|
| 3390 | !----------------------------------------------------------------------- |
---|
| 3391 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 3392 | !----------------------------------------------------------------------- |
---|
| 3393 | CALL eos_insitu_tan(tn, sn, zt_tlin, zs_tlin, zrd_tl) |
---|
| 3394 | !-------------------------------------------------------------------- |
---|
| 3395 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 3396 | !-------------------------------------------------------------------- |
---|
| 3397 | zsp2 = DOT_PRODUCT( zrd_tl, zrd_tl ) |
---|
| 3398 | !-------------------------------------------------------------------- |
---|
| 3399 | ! Storing data |
---|
| 3400 | !-------------------------------------------------------------------- |
---|
| 3401 | CALL trj_rd_spl(file_wop) |
---|
| 3402 | zrd_wop (:,:,:) = rhd (:,:,:) |
---|
| 3403 | CALL trj_rd_spl(file_xdx) |
---|
| 3404 | zrd_out (:,:,:) = rhd (:,:,:) |
---|
| 3405 | !-------------------------------------------------------------------- |
---|
| 3406 | ! Compute the Linearization Error |
---|
| 3407 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 3408 | ! and |
---|
| 3409 | ! Compute the Linearization Error |
---|
| 3410 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 3411 | !-------------------------------------------------------------------- |
---|
| 3412 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 3413 | ii=0 |
---|
| 3414 | DO jk = 1, jpk |
---|
| 3415 | DO jj = 1, jpj |
---|
| 3416 | DO ji = 1, jpi |
---|
| 3417 | zrd_out (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_wop (ji,jj,jk) |
---|
| 3418 | zrd_wop (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_tl (ji,jj,jk) |
---|
| 3419 | IF ( zrd_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 3420 | & zerrrd(ji,jj,jk) = zrd_out(ji,jj,jk)/zrd_tl(ji,jj,jk) |
---|
| 3421 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3422 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 3423 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 3424 | ii = ii+1 |
---|
| 3425 | iiposrd(ii) = ji |
---|
| 3426 | ijposrd(ii) = jj |
---|
| 3427 | ikposrd(ii) = jk |
---|
| 3428 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 3429 | zscrd (ii) = zrd_wop(ji,jj,jk) |
---|
| 3430 | zscerrrd (ii) = ( zerrrd(ji,jj,jk) - 1.0_wp ) / gamma |
---|
| 3431 | ENDIF |
---|
| 3432 | ENDIF |
---|
| 3433 | END DO |
---|
| 3434 | END DO |
---|
| 3435 | END DO |
---|
| 3436 | |
---|
| 3437 | zsp1 = DOT_PRODUCT( zrd_out, zrd_out ) |
---|
| 3438 | zsp3 = DOT_PRODUCT( zrd_wop, zrd_wop ) |
---|
| 3439 | |
---|
| 3440 | !-------------------------------------------------------------------- |
---|
| 3441 | ! Print the linearization error En - norme 2 |
---|
| 3442 | !-------------------------------------------------------------------- |
---|
| 3443 | ! 14 char:'12345678901234' |
---|
| 3444 | cl_name = 'eos_insitu:En ' |
---|
| 3445 | zzsp = SQRT(zsp3) |
---|
| 3446 | zgsp5 = zzsp |
---|
| 3447 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3448 | !-------------------------------------------------------------------- |
---|
| 3449 | ! Compute TLM norm2 |
---|
| 3450 | !-------------------------------------------------------------------- |
---|
| 3451 | zzsp = SQRT(zsp2) |
---|
| 3452 | zgsp4 = zzsp |
---|
| 3453 | cl_name = 'eos_insitu:Ln2' |
---|
| 3454 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3455 | !-------------------------------------------------------------------- |
---|
| 3456 | ! Print the linearization error Nn - norme 2 |
---|
| 3457 | !-------------------------------------------------------------------- |
---|
| 3458 | zzsp = SQRT(zsp1) |
---|
| 3459 | cl_name = 'eosins:Mhdx-Mx' |
---|
| 3460 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3461 | |
---|
| 3462 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 3463 | zgsp7 = zgsp3/gamma |
---|
| 3464 | zgsp1 = zzsp |
---|
| 3465 | zgsp2 = zgsp1 / zgsp4 |
---|
| 3466 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 3467 | |
---|
| 3468 | 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)" |
---|
| 3469 | WRITE(numtan,FMT) 'eosinsit', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 3470 | |
---|
| 3471 | !-------------------------------------------------------------------- |
---|
| 3472 | ! Unitary calculus |
---|
| 3473 | !-------------------------------------------------------------------- |
---|
| 3474 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 3475 | cl_name = 'eosinsit' |
---|
| 3476 | IF(lwp) THEN |
---|
| 3477 | DO ii=1, 100, 1 |
---|
| 3478 | IF ( zscrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrd ', & |
---|
| 3479 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscrd(ii) |
---|
| 3480 | ENDDO |
---|
| 3481 | DO ii=1, 100, 1 |
---|
| 3482 | IF ( zscerrrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrd', & |
---|
| 3483 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscerrrd(ii) |
---|
| 3484 | ENDDO |
---|
| 3485 | ! write separator |
---|
| 3486 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 3487 | ENDIF |
---|
| 3488 | |
---|
| 3489 | ENDIF |
---|
| 3490 | |
---|
| 3491 | DEALLOCATE( & |
---|
| 3492 | & zrd_out, zrd_tl, zrd_wop, & |
---|
| 3493 | & zt_tlin, zs_tlin, z3r & |
---|
| 3494 | & ) |
---|
| 3495 | END SUBROUTINE eos_insitu_tlm_tst |
---|
| 3496 | |
---|
| 3497 | SUBROUTINE eos_insitu_pot_tlm_tst( kumadt ) |
---|
| 3498 | !!----------------------------------------------------------------------- |
---|
| 3499 | !! |
---|
| 3500 | !! *** ROUTINE eos_insitu_pot_tlm_tst *** |
---|
| 3501 | !! |
---|
| 3502 | !! ** Purpose : Test the tangent routine. |
---|
| 3503 | !! |
---|
| 3504 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3505 | !! |
---|
| 3506 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3507 | !! |
---|
| 3508 | !! where L = tangent routine |
---|
| 3509 | !! M = direct routine |
---|
| 3510 | !! dx = input perturbation (random field) |
---|
| 3511 | !! h = ration on perturbation |
---|
| 3512 | !! |
---|
| 3513 | !! In the tangent test we verify that: |
---|
| 3514 | !! M(x+h*dx) - M(x) |
---|
| 3515 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3516 | !! L(h*dx) |
---|
| 3517 | !! and |
---|
| 3518 | !! g(h) - 1 |
---|
| 3519 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3520 | !! p |
---|
| 3521 | !! |
---|
| 3522 | !! History : |
---|
| 3523 | !! ! 09-08 (A. Vigilant) |
---|
| 3524 | !!----------------------------------------------------------------------- |
---|
| 3525 | !! * Modules used |
---|
| 3526 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3527 | & eos |
---|
| 3528 | USE tamtrj ! writing out state trajectory |
---|
| 3529 | USE par_tlm, ONLY: & |
---|
| 3530 | & tlm_bch, & |
---|
| 3531 | & cur_loop, & |
---|
| 3532 | & h_ratio |
---|
| 3533 | USE istate_mod |
---|
| 3534 | USE gridrandom, ONLY: & |
---|
| 3535 | & grid_rd_sd |
---|
| 3536 | USE trj_tam |
---|
| 3537 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3538 | & tn, sn, rhd, rhop |
---|
| 3539 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 3540 | & nitend, & |
---|
| 3541 | & nit000 |
---|
| 3542 | USE tamctl, ONLY: & ! Control parameters |
---|
| 3543 | & numtan, numtan_sc |
---|
| 3544 | !! * Arguments |
---|
| 3545 | INTEGER, INTENT(IN) :: & |
---|
| 3546 | & kumadt ! Output unit |
---|
| 3547 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3548 | & zrd_out, & ! |
---|
| 3549 | & zrh_out, & |
---|
| 3550 | & zt_tlin , & ! |
---|
| 3551 | & zs_tlin , & |
---|
| 3552 | & zrh_tl , & |
---|
| 3553 | & zrd_tl , & |
---|
| 3554 | & zrd_wop , & |
---|
| 3555 | & zrh_wop , & |
---|
| 3556 | & z3r |
---|
| 3557 | REAL(KIND=wp) :: & |
---|
| 3558 | & zsp1, & |
---|
| 3559 | & zsp2, & |
---|
| 3560 | & zsp3, & |
---|
| 3561 | & zsp1_Rd, Zsp1_Rh, & |
---|
| 3562 | & zsp2_Rd, zsp2_Rh, & |
---|
| 3563 | & zsp3_Rd, zsp3_Rh, & |
---|
| 3564 | & zzsp, & |
---|
| 3565 | & gamma, & |
---|
| 3566 | & zgsp1, & |
---|
| 3567 | & zgsp2, & |
---|
| 3568 | & zgsp3, & |
---|
| 3569 | & zgsp4, & |
---|
| 3570 | & zgsp5, & |
---|
| 3571 | & zgsp6, & |
---|
| 3572 | & zgsp7 |
---|
| 3573 | INTEGER :: & |
---|
| 3574 | & ji, & |
---|
| 3575 | & jj, & |
---|
| 3576 | & jk |
---|
| 3577 | CHARACTER(LEN=14) :: cl_name |
---|
| 3578 | CHARACTER (LEN=128) :: file_out, file_wop,file_xdx |
---|
| 3579 | CHARACTER (LEN=90) :: FMT |
---|
| 3580 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 3581 | & zscrd, zscerrrd, & |
---|
| 3582 | & zscrh, zscerrrh |
---|
| 3583 | INTEGER, DIMENSION(100):: & |
---|
| 3584 | & iiposrd, ijposrd, ikposrd, & |
---|
| 3585 | & iiposrh, ijposrh, ikposrh |
---|
| 3586 | INTEGER:: & |
---|
| 3587 | & ii, numsctlm, & |
---|
| 3588 | & isamp=40,jsamp=40, ksamp=10 |
---|
| 3589 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 3590 | & zerrrd, zerrrh |
---|
| 3591 | ALLOCATE( & |
---|
| 3592 | & zrd_out( jpi, jpj, jpk ), & |
---|
| 3593 | & zrh_out( jpi, jpj, jpk ), & |
---|
| 3594 | & zrd_tl( jpi, jpj, jpk ), & |
---|
| 3595 | & zrh_tl( jpi, jpj, jpk ), & |
---|
| 3596 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 3597 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 3598 | & zrd_wop( jpi, jpj, jpk ), & |
---|
| 3599 | & zrh_wop( jpi, jpj, jpk ), & |
---|
| 3600 | & z3r ( jpi, jpj, jpk ) ) |
---|
| 3601 | |
---|
| 3602 | !-------------------------------------------------------------------- |
---|
| 3603 | ! Reset the tangent and adjoint variables |
---|
| 3604 | !-------------------------------------------------------------------- |
---|
| 3605 | zt_tlin( :,:,:) = 0.0_wp |
---|
| 3606 | zs_tlin( :,:,:) = 0.0_wp |
---|
| 3607 | zrd_out( :,:,:) = 0.0_wp |
---|
| 3608 | zrh_out( :,:,:) = 0.0_wp |
---|
| 3609 | zrd_wop( :,:,:) = 0.0_wp |
---|
| 3610 | zrh_wop( :,:,:) = 0.0_wp |
---|
| 3611 | zscerrrd( :) = 0.0_wp |
---|
| 3612 | zscerrrh( :) = 0.0_wp |
---|
| 3613 | zscrd(:) = 0.0_wp |
---|
| 3614 | zscrh(:) = 0.0_wp |
---|
| 3615 | IF ( tlm_bch == 2 ) THEN |
---|
| 3616 | zrd_tl ( :,:,:) = 0.0_wp |
---|
| 3617 | zrh_tl ( :,:,:) = 0.0_wp |
---|
| 3618 | ENDIF |
---|
| 3619 | !-------------------------------------------------------------------- |
---|
| 3620 | ! Output filename Xn=F(X0) |
---|
| 3621 | !-------------------------------------------------------------------- |
---|
| 3622 | !! CALL tlm_namrd |
---|
| 3623 | gamma = h_ratio |
---|
| 3624 | file_wop='trj_wop_eos_pot' |
---|
| 3625 | file_xdx='trj_xdx_eos_pot' |
---|
| 3626 | !-------------------------------------------------------------------- |
---|
| 3627 | ! Initialize the tangent input with random noise: dx |
---|
| 3628 | !-------------------------------------------------------------------- |
---|
| 3629 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3630 | CALL grid_rd_sd( 596035, z3r, 'T', 0.0_wp, stdt) |
---|
| 3631 | DO jk = 1, jpk |
---|
| 3632 | DO jj = nldj, nlej |
---|
| 3633 | DO ji = nldi, nlei |
---|
| 3634 | zt_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3635 | END DO |
---|
| 3636 | END DO |
---|
| 3637 | END DO |
---|
| 3638 | CALL grid_rd_sd( 371836, z3r, 'S', 0.0_wp, stds) |
---|
| 3639 | DO jk = 1, jpk |
---|
| 3640 | DO jj = nldj, nlej |
---|
| 3641 | DO ji = nldi, nlei |
---|
| 3642 | zs_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3643 | END DO |
---|
| 3644 | END DO |
---|
| 3645 | END DO |
---|
| 3646 | ENDIF |
---|
| 3647 | !-------------------------------------------------------------------- |
---|
| 3648 | ! Complete Init for Direct |
---|
| 3649 | !------------------------------------------------------------------- |
---|
| 3650 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
| 3651 | |
---|
| 3652 | ! *** initialize the reference trajectory |
---|
| 3653 | ! ------------ |
---|
| 3654 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3655 | CALL trj_rea( nit000, 1 ) |
---|
| 3656 | |
---|
| 3657 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3658 | zt_tlin(:,:,:) = gamma * zt_tlin(:,:,:) |
---|
| 3659 | tn(:,:,:) = tn(:,:,:) + zt_tlin(:,:,:) |
---|
| 3660 | |
---|
| 3661 | zs_tlin(:,:,:) = gamma * zs_tlin(:,:,:) |
---|
| 3662 | sn(:,:,:) = sn(:,:,:) + zs_tlin(:,:,:) |
---|
| 3663 | ENDIF |
---|
| 3664 | !-------------------------------------------------------------------- |
---|
| 3665 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 3666 | !-------------------------------------------------------------------- |
---|
| 3667 | IF ( tlm_bch /= 2 ) CALL eos(tn, sn, zrd_out, zrh_out) |
---|
| 3668 | rhd (:,:,:) = zrd_out(:,:,:) |
---|
| 3669 | rhop(:,:,:) = zrh_out(:,:,:) |
---|
| 3670 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 3671 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
| 3672 | !-------------------------------------------------------------------- |
---|
| 3673 | ! Compute the Tangent |
---|
| 3674 | !-------------------------------------------------------------------- |
---|
| 3675 | IF ( tlm_bch == 2 ) THEN |
---|
| 3676 | !-------------------------------------------------------------------- |
---|
| 3677 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 3678 | !-------------------------------------------------------------------- |
---|
| 3679 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3680 | CALL trj_rea( nit000, 1 ) |
---|
| 3681 | !----------------------------------------------------------------------- |
---|
| 3682 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 3683 | !----------------------------------------------------------------------- |
---|
| 3684 | CALL eos_insitu_pot_tan(tn, sn, zt_tlin, zs_tlin, zrd_tl, zrh_tl) |
---|
| 3685 | !-------------------------------------------------------------------- |
---|
| 3686 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 3687 | !-------------------------------------------------------------------- |
---|
| 3688 | |
---|
| 3689 | zsp2_Rd = DOT_PRODUCT( zrd_tl, zrd_tl ) |
---|
| 3690 | zsp2_Rh = DOT_PRODUCT( zrh_tl, zrh_tl ) |
---|
| 3691 | zsp2 = zsp2_Rd + zsp2_Rh |
---|
| 3692 | !-------------------------------------------------------------------- |
---|
| 3693 | ! Storing data |
---|
| 3694 | !-------------------------------------------------------------------- |
---|
| 3695 | CALL trj_rd_spl(file_wop) |
---|
| 3696 | zrd_wop (:,:,:) = rhd (:,:,:) |
---|
| 3697 | zrh_wop (:,:,:) = rhop (:,:,:) |
---|
| 3698 | CALL trj_rd_spl(file_xdx) |
---|
| 3699 | zrd_out (:,:,:) = rhd (:,:,:) |
---|
| 3700 | zrh_out (:,:,:) = rhop (:,:,:) |
---|
| 3701 | !-------------------------------------------------------------------- |
---|
| 3702 | ! Compute the Linearization Error |
---|
| 3703 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 3704 | ! and |
---|
| 3705 | ! Compute the Linearization Error |
---|
| 3706 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 3707 | !-------------------------------------------------------------------- |
---|
| 3708 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 3709 | ii=0 |
---|
| 3710 | DO jk = 1, jpk |
---|
| 3711 | DO jj = 1, jpj |
---|
| 3712 | DO ji = 1, jpi |
---|
| 3713 | zrd_out (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_wop (ji,jj,jk) |
---|
| 3714 | zrd_wop (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_tl (ji,jj,jk) |
---|
| 3715 | IF ( zrd_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 3716 | & zerrrd(ji,jj,jk) = zrd_out(ji,jj,jk)/zrd_tl(ji,jj,jk) |
---|
| 3717 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3718 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 3719 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 3720 | ii = ii+1 |
---|
| 3721 | iiposrd(ii) = ji |
---|
| 3722 | ijposrd(ii) = jj |
---|
| 3723 | ikposrd(ii) = jk |
---|
| 3724 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 3725 | zscrd (ii) = zrd_wop(ji,jj,jk) |
---|
| 3726 | zscerrrd (ii) = ( zerrrd( ji,jj,jk) - 1.0_wp ) / gamma |
---|
| 3727 | ENDIF |
---|
| 3728 | ENDIF |
---|
| 3729 | END DO |
---|
| 3730 | END DO |
---|
| 3731 | END DO |
---|
| 3732 | ii=0 |
---|
| 3733 | DO jk = 1, jpk |
---|
| 3734 | DO jj = 1, jpj |
---|
| 3735 | DO ji = 1, jpi |
---|
| 3736 | zrh_out (ji,jj,jk) = zrh_out (ji,jj,jk) - zrh_wop (ji,jj,jk) |
---|
| 3737 | zrh_wop (ji,jj,jk) = zrh_out (ji,jj,jk) - zrh_tl (ji,jj,jk) |
---|
| 3738 | IF ( zrh_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 3739 | & zerrrh(ji,jj,jk) = zrh_out(ji,jj,jk)/zrh_tl(ji,jj,jk) |
---|
| 3740 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3741 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 3742 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 3743 | ii = ii+1 |
---|
| 3744 | iiposrh(ii) = ji |
---|
| 3745 | ijposrh(ii) = jj |
---|
| 3746 | ikposrh(ii) = jk |
---|
| 3747 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 3748 | zscrh (ii) = zrh_wop(ji,jj,jk) |
---|
| 3749 | zscerrrh (ii) = ( zerrrh( ji,jj,jk) - 1.0_wp ) /gamma |
---|
| 3750 | ENDIF |
---|
| 3751 | ENDIF |
---|
| 3752 | END DO |
---|
| 3753 | END DO |
---|
| 3754 | END DO |
---|
| 3755 | zsp1_Rd = DOT_PRODUCT( zrd_out, zrd_out ) |
---|
| 3756 | zsp1_Rh = DOT_PRODUCT( zrh_out, zrh_out ) |
---|
| 3757 | zsp1 = zsp1_Rd + zsp1_Rh |
---|
| 3758 | |
---|
| 3759 | zsp3_Rd = DOT_PRODUCT( zrd_wop, zrd_wop ) |
---|
| 3760 | zsp3_Rh = DOT_PRODUCT( zrh_wop, zrh_wop ) |
---|
| 3761 | zsp3 = zsp3_Rd + zsp3_Rh |
---|
| 3762 | !-------------------------------------------------------------------- |
---|
| 3763 | ! Print the linearization error En - norme 2 |
---|
| 3764 | !-------------------------------------------------------------------- |
---|
| 3765 | ! 14 char:'12345678901234' |
---|
| 3766 | cl_name = 'eos_pot:En ' |
---|
| 3767 | zzsp = SQRT(zsp3) |
---|
| 3768 | zgsp5 = zzsp |
---|
| 3769 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3770 | !-------------------------------------------------------------------- |
---|
| 3771 | ! Compute TLM norm2 |
---|
| 3772 | !-------------------------------------------------------------------- |
---|
| 3773 | zzsp = SQRT(zsp2) |
---|
| 3774 | zgsp4 = zzsp |
---|
| 3775 | cl_name = 'eos_pot:Ln2' |
---|
| 3776 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3777 | !-------------------------------------------------------------------- |
---|
| 3778 | ! Print the linearization error Nn - norme 2 |
---|
| 3779 | !-------------------------------------------------------------------- |
---|
| 3780 | zzsp = SQRT(zsp1) |
---|
| 3781 | cl_name = 'eospot:Mhdx-Mx' |
---|
| 3782 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3783 | |
---|
| 3784 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 3785 | zgsp7 = zgsp3/gamma |
---|
| 3786 | zgsp1 = zzsp |
---|
| 3787 | zgsp2 = zgsp1 / zgsp4 |
---|
| 3788 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 3789 | |
---|
| 3790 | 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)" |
---|
| 3791 | WRITE(numtan,FMT) 'eosinsp ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 3792 | !-------------------------------------------------------------------- |
---|
| 3793 | ! Unitary calculus |
---|
| 3794 | !-------------------------------------------------------------------- |
---|
| 3795 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 3796 | cl_name = 'eosinsp ' |
---|
| 3797 | IF(lwp) THEN |
---|
| 3798 | DO ii=1, 100, 1 |
---|
| 3799 | IF ( zscrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrd ', & |
---|
| 3800 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscrd(ii) |
---|
| 3801 | ENDDO |
---|
| 3802 | DO ii=1, 100, 1 |
---|
| 3803 | IF ( zscrh(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrh ', & |
---|
| 3804 | & cur_loop, h_ratio, iiposrh(ii), ijposrh(ii), ikposrh(ii), zscrh(ii) |
---|
| 3805 | ENDDO |
---|
| 3806 | DO ii=1, 100, 1 |
---|
| 3807 | IF ( zscerrrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrd', & |
---|
| 3808 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscerrrd(ii) |
---|
| 3809 | ENDDO |
---|
| 3810 | DO ii=1, 100, 1 |
---|
| 3811 | IF ( zscerrrh(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrh', & |
---|
| 3812 | & cur_loop, h_ratio, iiposrh(ii), ijposrh(ii), ikposrh(ii), zscerrrh(ii) |
---|
| 3813 | ENDDO |
---|
| 3814 | ! write separator |
---|
| 3815 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 3816 | ENDIF |
---|
| 3817 | ENDIF |
---|
| 3818 | |
---|
| 3819 | DEALLOCATE( & |
---|
| 3820 | & zrd_out, zrd_tl, zrd_wop, & |
---|
| 3821 | & zrh_out, zrh_tl, zrh_wop, & |
---|
| 3822 | & zt_tlin, zs_tlin, z3r & |
---|
| 3823 | & ) |
---|
| 3824 | END SUBROUTINE eos_insitu_pot_tlm_tst |
---|
| 3825 | |
---|
| 3826 | SUBROUTINE eos_insitu_2d_tlm_tst( kumadt ) |
---|
| 3827 | !!----------------------------------------------------------------------- |
---|
| 3828 | !! |
---|
| 3829 | !! *** ROUTINE eos_insitu_2d_tlm_tst *** |
---|
| 3830 | !! |
---|
| 3831 | !! ** Purpose : Test the tangent routine. |
---|
| 3832 | !! |
---|
| 3833 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3834 | !! |
---|
| 3835 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3836 | !! |
---|
| 3837 | !! where L = tangent routine |
---|
| 3838 | !! M = direct routine |
---|
| 3839 | !! dx = input perturbation (random field) |
---|
| 3840 | !! h = ration on perturbation |
---|
| 3841 | !! |
---|
| 3842 | !! In the tangent test we verify that: |
---|
| 3843 | !! M(x+h*dx) - M(x) |
---|
| 3844 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3845 | !! L(h*dx) |
---|
| 3846 | !! and |
---|
| 3847 | !! g(h) - 1 |
---|
| 3848 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3849 | !! p |
---|
| 3850 | !! |
---|
| 3851 | !! History : |
---|
| 3852 | !! ! 09-08 (A. Vigilant) |
---|
| 3853 | !!----------------------------------------------------------------------- |
---|
| 3854 | !! * Modules used |
---|
| 3855 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3856 | & eos |
---|
| 3857 | USE tamtrj ! writing out state trajectory |
---|
| 3858 | USE par_tlm, ONLY: & |
---|
| 3859 | & tlm_bch, & |
---|
| 3860 | & cur_loop, & |
---|
| 3861 | & h_ratio |
---|
| 3862 | USE istate_mod |
---|
| 3863 | USE gridrandom, ONLY: & |
---|
| 3864 | & grid_rd_sd |
---|
| 3865 | USE trj_tam |
---|
| 3866 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3867 | & tn, sn, rhd, rhop |
---|
| 3868 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 3869 | & nitend, & |
---|
| 3870 | & nit000 |
---|
| 3871 | USE tamctl, ONLY: & ! Control parameters |
---|
| 3872 | & numtan, numtan_sc |
---|
| 3873 | !! * Arguments |
---|
| 3874 | INTEGER, INTENT(IN) :: & |
---|
| 3875 | & kumadt ! Output unit |
---|
| 3876 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 3877 | & zdep, & ! depth |
---|
| 3878 | & ztem, & ! potential temperature |
---|
| 3879 | & zsal ! salinity |
---|
| 3880 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 3881 | & zrd_out, & ! |
---|
| 3882 | & zt_tlin , & ! |
---|
| 3883 | & zs_tlin , & |
---|
| 3884 | & zrd_tl , & |
---|
| 3885 | & zrd_wop , & |
---|
| 3886 | & z2r |
---|
| 3887 | REAL(KIND=wp) :: & |
---|
| 3888 | & zsp1, & |
---|
| 3889 | & zsp2, & |
---|
| 3890 | & zsp3, & |
---|
| 3891 | & zzsp, & |
---|
| 3892 | & gamma, & |
---|
| 3893 | & zgsp1, & |
---|
| 3894 | & zgsp2, & |
---|
| 3895 | & zgsp3, & |
---|
| 3896 | & zgsp4, & |
---|
| 3897 | & zgsp5, & |
---|
| 3898 | & zgsp6, & |
---|
| 3899 | & zgsp7 |
---|
| 3900 | INTEGER :: & |
---|
| 3901 | & ji, & |
---|
| 3902 | & jj |
---|
| 3903 | CHARACTER(LEN=14) :: cl_name |
---|
| 3904 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
---|
| 3905 | CHARACTER (LEN=90) :: FMT |
---|
| 3906 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 3907 | & zscrd, zscerrrd |
---|
| 3908 | INTEGER, DIMENSION(100):: & |
---|
| 3909 | & iiposrd, ijposrd |
---|
| 3910 | INTEGER:: & |
---|
| 3911 | & ii, numsctlm, & |
---|
| 3912 | & isamp=40,jsamp=40 |
---|
| 3913 | REAL(KIND=wp), DIMENSION(jpi,jpj) :: & |
---|
| 3914 | & zerrrd |
---|
| 3915 | ALLOCATE( & |
---|
| 3916 | & ztem ( jpi, jpj ), & |
---|
| 3917 | & zsal ( jpi, jpj ), & |
---|
| 3918 | & zdep ( jpi, jpj ), & |
---|
| 3919 | & zrd_out( jpi, jpj ), & |
---|
| 3920 | & zrd_tl( jpi, jpj ), & |
---|
| 3921 | & zs_tlin( jpi, jpj ), & |
---|
| 3922 | & zt_tlin( jpi, jpj ), & |
---|
| 3923 | & zrd_wop( jpi, jpj ), & |
---|
| 3924 | & z2r ( jpi, jpj ) ) |
---|
| 3925 | |
---|
| 3926 | !-------------------------------------------------------------------- |
---|
| 3927 | ! Reset the tangent and adjoint variables |
---|
| 3928 | !-------------------------------------------------------------------- |
---|
| 3929 | ztem ( :,:) = 0.0_wp |
---|
| 3930 | zsal ( :,:) = 0.0_wp |
---|
| 3931 | zt_tlin( :,:) = 0.0_wp |
---|
| 3932 | zs_tlin( :,:) = 0.0_wp |
---|
| 3933 | zrd_out( :,:) = 0.0_wp |
---|
| 3934 | zrd_wop( :,:) = 0.0_wp |
---|
| 3935 | zscerrrd( :) = 0.0_wp |
---|
| 3936 | zscrd(:) = 0.0_wp |
---|
| 3937 | IF ( tlm_bch == 2 ) zrd_tl ( :,:) = 0.0_wp |
---|
| 3938 | !-------------------------------------------------------------------- |
---|
| 3939 | ! Output filename Xn=F(X0) |
---|
| 3940 | !-------------------------------------------------------------------- |
---|
| 3941 | !! CALL tlm_namrd |
---|
| 3942 | gamma = h_ratio |
---|
| 3943 | file_wop='trj_wop_eos_2d' |
---|
| 3944 | file_xdx='trj_xdx_eos_2d' |
---|
| 3945 | !-------------------------------------------------------------------- |
---|
| 3946 | ! Initialize the tangent input with random noise: dx |
---|
| 3947 | !-------------------------------------------------------------------- |
---|
| 3948 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3949 | CALL grid_rd_sd( 596035, z2r, 'T', 0.0_wp, stdt) |
---|
| 3950 | DO jj = nldj, nlej |
---|
| 3951 | DO ji = nldi, nlei |
---|
| 3952 | zt_tlin(ji,jj) = z2r(ji,jj) |
---|
| 3953 | END DO |
---|
| 3954 | END DO |
---|
| 3955 | CALL grid_rd_sd( 371836, z2r, 'S', 0.0_wp, stds) |
---|
| 3956 | DO jj = nldj, nlej |
---|
| 3957 | DO ji = nldi, nlei |
---|
| 3958 | zs_tlin(ji,jj) = z2r(ji,jj) |
---|
| 3959 | END DO |
---|
| 3960 | END DO |
---|
| 3961 | ENDIF |
---|
| 3962 | |
---|
| 3963 | !-------------------------------------------------------------------- |
---|
| 3964 | ! Complete Init for Direct |
---|
| 3965 | !------------------------------------------------------------------- |
---|
| 3966 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
| 3967 | ! *** initialize the reference trajectory |
---|
| 3968 | ! ------------ |
---|
| 3969 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3970 | CALL trj_rea( nit000, 1 ) |
---|
| 3971 | ! Initialize the reference state |
---|
| 3972 | ztem(:,:) = tn(:,:,2) |
---|
| 3973 | zsal(:,:) = sn(:,:,2) |
---|
| 3974 | zdep(:,:) = fsdept(:,:,2) |
---|
| 3975 | |
---|
| 3976 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3977 | zt_tlin(:,:) = gamma * zt_tlin(:,:) |
---|
| 3978 | ztem(:,:) = ztem(:,:) + zt_tlin(:,:) |
---|
| 3979 | |
---|
| 3980 | zs_tlin(:,:) = gamma * zs_tlin(:,:) |
---|
| 3981 | zsal(:,:) = zsal(:,:) + zs_tlin(:,:) |
---|
| 3982 | ENDIF |
---|
| 3983 | !-------------------------------------------------------------------- |
---|
| 3984 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 3985 | !-------------------------------------------------------------------- |
---|
| 3986 | IF ( tlm_bch /= 2 ) CALL eos(ztem, zsal, zdep, zrd_out) |
---|
| 3987 | rhd (:,:,2) = zrd_out(:,:) |
---|
| 3988 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 3989 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
| 3990 | !-------------------------------------------------------------------- |
---|
| 3991 | ! Compute the Tangent |
---|
| 3992 | !-------------------------------------------------------------------- |
---|
| 3993 | IF ( tlm_bch == 2 ) THEN |
---|
| 3994 | !-------------------------------------------------------------------- |
---|
| 3995 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 3996 | !-------------------------------------------------------------------- |
---|
| 3997 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3998 | CALL trj_rea( nit000, 1 ) |
---|
| 3999 | ztem(:,:) = tn(:,:,2) |
---|
| 4000 | zsal(:,:) = sn(:,:,2) |
---|
| 4001 | !----------------------------------------------------------------------- |
---|
| 4002 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 4003 | !----------------------------------------------------------------------- |
---|
| 4004 | CALL eos_insitu_2d_tan(ztem, zsal, zdep, zt_tlin, zs_tlin, zrd_tl) |
---|
| 4005 | !-------------------------------------------------------------------- |
---|
| 4006 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 4007 | !-------------------------------------------------------------------- |
---|
| 4008 | zsp2 = DOT_PRODUCT( zrd_tl, zrd_tl ) |
---|
| 4009 | !-------------------------------------------------------------------- |
---|
| 4010 | ! Storing data |
---|
| 4011 | !-------------------------------------------------------------------- |
---|
| 4012 | CALL trj_rd_spl(file_wop) |
---|
| 4013 | zrd_wop (:,:) = rhd (:,:,2) |
---|
| 4014 | CALL trj_rd_spl(file_xdx) |
---|
| 4015 | zrd_out (:,:) = rhd (:,:,2) |
---|
| 4016 | !-------------------------------------------------------------------- |
---|
| 4017 | ! Compute the Linearization Error |
---|
| 4018 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 4019 | ! and |
---|
| 4020 | ! Compute the Linearization Error |
---|
| 4021 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 4022 | !-------------------------------------------------------------------- |
---|
| 4023 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 4024 | ii=0 |
---|
| 4025 | DO jj = 1, jpj |
---|
| 4026 | DO ji = 1, jpi |
---|
| 4027 | zrd_out (ji,jj) = zrd_out (ji,jj) - zrd_wop (ji,jj) |
---|
| 4028 | zrd_wop (ji,jj) = zrd_out (ji,jj) - zrd_tl (ji,jj) |
---|
| 4029 | IF ( zrd_tl(ji,jj) .NE. 0.0_wp ) & |
---|
| 4030 | & zerrrd(ji,jj) = zrd_out(ji,jj)/zrd_tl(ji,jj) |
---|
| 4031 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 4032 | & (MOD(jj, jsamp) .EQ. 0) ) THEN |
---|
| 4033 | ii = ii+1 |
---|
| 4034 | iiposrd(ii) = ji |
---|
| 4035 | ijposrd(ii) = jj |
---|
| 4036 | IF ( INT(tmask(ji,jj,2)) .NE. 0) THEN |
---|
| 4037 | zscrd (ii) = zrd_wop(ji,jj) |
---|
| 4038 | zscerrrd (ii) = ( zerrrd( ji,jj) - 1.0_wp ) / gamma |
---|
| 4039 | ENDIF |
---|
| 4040 | ENDIF |
---|
| 4041 | END DO |
---|
| 4042 | END DO |
---|
| 4043 | |
---|
| 4044 | zsp1 = DOT_PRODUCT( zrd_out, zrd_out ) |
---|
| 4045 | |
---|
| 4046 | zsp3 = DOT_PRODUCT( zrd_wop, zrd_wop ) |
---|
| 4047 | !-------------------------------------------------------------------- |
---|
| 4048 | ! Print the linearization error En - norme 2 |
---|
| 4049 | !-------------------------------------------------------------------- |
---|
| 4050 | ! 14 char:'12345678901234' |
---|
| 4051 | cl_name = 'eos_2d:En ' |
---|
| 4052 | zzsp = SQRT(zsp3) |
---|
| 4053 | zgsp5 = zzsp |
---|
| 4054 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4055 | !-------------------------------------------------------------------- |
---|
| 4056 | ! Compute TLM norm2 |
---|
| 4057 | !-------------------------------------------------------------------- |
---|
| 4058 | zzsp = SQRT(zsp2) |
---|
| 4059 | zgsp4 = zzsp |
---|
| 4060 | cl_name = 'eos_2d:Ln2' |
---|
| 4061 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4062 | !-------------------------------------------------------------------- |
---|
| 4063 | ! Print the linearization error Nn - norme 2 |
---|
| 4064 | !-------------------------------------------------------------------- |
---|
| 4065 | zzsp = SQRT(zsp1) |
---|
| 4066 | cl_name = 'eos_2d:Mhdx-Mx' |
---|
| 4067 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4068 | |
---|
| 4069 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 4070 | zgsp7 = zgsp3/gamma |
---|
| 4071 | zgsp1 = zzsp |
---|
| 4072 | zgsp2 = zgsp1 / zgsp4 |
---|
| 4073 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 4074 | |
---|
| 4075 | 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)" |
---|
| 4076 | WRITE(numtan,FMT) 'eosins2d', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 4077 | !-------------------------------------------------------------------- |
---|
| 4078 | ! Unitary calculus |
---|
| 4079 | !-------------------------------------------------------------------- |
---|
| 4080 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 4081 | cl_name = 'eosins2d' |
---|
| 4082 | IF(lwp) THEN |
---|
| 4083 | DO ii=1, 100, 1 |
---|
| 4084 | IF ( zscrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrd ', & |
---|
| 4085 | & cur_loop, h_ratio, ii, iiposrd(ii), ijposrd(ii), zscrd(ii) |
---|
| 4086 | ENDDO |
---|
| 4087 | DO ii=1, 100, 1 |
---|
| 4088 | IF ( zscerrrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrd', & |
---|
| 4089 | & cur_loop, h_ratio, ii, iiposrd(ii), ijposrd(ii), zscerrrd(ii) |
---|
| 4090 | ENDDO |
---|
| 4091 | ! write separator |
---|
| 4092 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 4093 | ENDIF |
---|
| 4094 | |
---|
| 4095 | ENDIF |
---|
| 4096 | |
---|
| 4097 | DEALLOCATE( & |
---|
| 4098 | & zrd_out, zrd_tl, zrd_wop, & |
---|
| 4099 | & ztem, zsal, zdep, & |
---|
| 4100 | & zt_tlin, zs_tlin, z2r & |
---|
| 4101 | & ) |
---|
| 4102 | END SUBROUTINE eos_insitu_2d_tlm_tst |
---|
| 4103 | |
---|
| 4104 | SUBROUTINE eos_pot_1pt_tlm_tst( kumadt ) |
---|
| 4105 | !!----------------------------------------------------------------------- |
---|
| 4106 | !! |
---|
| 4107 | !! *** ROUTINE eos_pot_1pt_tlm_tst *** |
---|
| 4108 | !! |
---|
| 4109 | !! ** Purpose : Test the tangent routine. |
---|
| 4110 | !! |
---|
| 4111 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 4112 | !! |
---|
| 4113 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 4114 | !! |
---|
| 4115 | !! where L = tangent routine |
---|
| 4116 | !! M = direct routine |
---|
| 4117 | !! dx = input perturbation (random field) |
---|
| 4118 | !! h = ration on perturbation |
---|
| 4119 | !! |
---|
| 4120 | !! In the tangent test we verify that: |
---|
| 4121 | !! M(x+h*dx) - M(x) |
---|
| 4122 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 4123 | !! L(h*dx) |
---|
| 4124 | !! and |
---|
| 4125 | !! g(h) - 1 |
---|
| 4126 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 4127 | !! p |
---|
| 4128 | !! |
---|
| 4129 | !! History : |
---|
| 4130 | !! ! 09-08 (A. Vigilant) |
---|
| 4131 | !!----------------------------------------------------------------------- |
---|
| 4132 | !! * Modules used |
---|
| 4133 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 4134 | & eos |
---|
| 4135 | USE tamtrj ! writing out state trajectory |
---|
| 4136 | USE par_tlm, ONLY: & |
---|
| 4137 | & tlm_bch, & |
---|
| 4138 | & cur_loop, & |
---|
| 4139 | & h_ratio |
---|
| 4140 | USE istate_mod |
---|
| 4141 | USE trj_tam |
---|
| 4142 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 4143 | & tn, sn, rhd, rhop |
---|
| 4144 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 4145 | & nitend, & |
---|
| 4146 | & nit000 |
---|
| 4147 | USE tamctl, ONLY: & ! Control parameters |
---|
| 4148 | & numtan, numtan_sc |
---|
| 4149 | !! * Arguments |
---|
| 4150 | INTEGER, INTENT(IN) :: & |
---|
| 4151 | & kumadt ! Output unit |
---|
| 4152 | INTEGER:: & |
---|
| 4153 | & numsctlm |
---|
| 4154 | !! * Local declarations |
---|
| 4155 | REAL(KIND=wp) :: & |
---|
| 4156 | & ztem, & |
---|
| 4157 | & zsal, & |
---|
| 4158 | & zt_tlin, & |
---|
| 4159 | & zs_tlin, & |
---|
| 4160 | & zrh_out, & |
---|
| 4161 | & zrh_tl, & |
---|
| 4162 | & zrh_wop |
---|
| 4163 | REAL(KIND=wp) :: & |
---|
| 4164 | & zsp1, zsp2, & |
---|
| 4165 | & zsp3, zzsp, & |
---|
| 4166 | & gamma, & |
---|
| 4167 | & zgsp1, & |
---|
| 4168 | & zgsp2, & |
---|
| 4169 | & zgsp3, & |
---|
| 4170 | & zgsp4, & |
---|
| 4171 | & zgsp5, & |
---|
| 4172 | & zgsp6, & |
---|
| 4173 | & zgsp7 |
---|
| 4174 | CHARACTER(LEN=14) :: cl_name |
---|
| 4175 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
---|
| 4176 | CHARACTER (LEN=90) :: FMT |
---|
| 4177 | ! Initialize the reference state |
---|
| 4178 | ztem = 23.7 |
---|
| 4179 | zsal = 30.1 |
---|
| 4180 | |
---|
| 4181 | !-------------------------------------------------------------------- |
---|
| 4182 | ! Reset the tangentvariables |
---|
| 4183 | !-------------------------------------------------------------------- |
---|
| 4184 | zt_tlin = 1.12_wp |
---|
| 4185 | zs_tlin = 0.123_wp |
---|
| 4186 | zrh_out = 0.0_wp |
---|
| 4187 | zrh_wop = 0.0_wp |
---|
| 4188 | IF ( tlm_bch == 2 ) zrh_tl = 0.0_wp |
---|
| 4189 | !-------------------------------------------------------------------- |
---|
| 4190 | ! Output filename Xn=F(X0) |
---|
| 4191 | !-------------------------------------------------------------------- |
---|
| 4192 | !! CALL tlm_namrd |
---|
| 4193 | gamma = h_ratio |
---|
| 4194 | file_wop='trj_wop_eos_1pt' |
---|
| 4195 | file_xdx='trj_xdx_eos_1pt' |
---|
| 4196 | !-------------------------------------------------------------------- |
---|
| 4197 | ! Complete Init for Direct |
---|
| 4198 | !------------------------------------------------------------------- |
---|
| 4199 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
| 4200 | |
---|
| 4201 | ! *** initialize the reference trajectory |
---|
| 4202 | ! ------------ |
---|
| 4203 | CALL trj_rea( nit000-1, 1 ) |
---|
| 4204 | CALL trj_rea( nit000, 1 ) |
---|
| 4205 | |
---|
| 4206 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 4207 | zt_tlin = gamma * zt_tlin |
---|
| 4208 | ztem = ztem + zt_tlin |
---|
| 4209 | |
---|
| 4210 | zs_tlin = gamma * zs_tlin |
---|
| 4211 | zsal = zsal + zs_tlin |
---|
| 4212 | ENDIF |
---|
| 4213 | !-------------------------------------------------------------------- |
---|
| 4214 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 4215 | !-------------------------------------------------------------------- |
---|
| 4216 | IF ( tlm_bch /= 2 ) CALL eos(ztem, zsal, zrh_out) |
---|
| 4217 | rhop (1,1,1) = zrh_out |
---|
| 4218 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 4219 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
| 4220 | !-------------------------------------------------------------------- |
---|
| 4221 | ! Compute the Tangent |
---|
| 4222 | !-------------------------------------------------------------------- |
---|
| 4223 | IF ( tlm_bch == 2 ) THEN |
---|
| 4224 | !-------------------------------------------------------------------- |
---|
| 4225 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 4226 | !-------------------------------------------------------------------- |
---|
| 4227 | CALL trj_rea( nit000-1, 1 ) |
---|
| 4228 | CALL trj_rea( nit000, 1 ) |
---|
| 4229 | ztem = 23.7 |
---|
| 4230 | zsal = 30.1 |
---|
| 4231 | !----------------------------------------------------------------------- |
---|
| 4232 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 4233 | !----------------------------------------------------------------------- |
---|
| 4234 | CALL eos_pot_1pt_tan(ztem, zsal, zt_tlin, zs_tlin, zrh_tl) |
---|
| 4235 | !-------------------------------------------------------------------- |
---|
| 4236 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 4237 | !-------------------------------------------------------------------- |
---|
| 4238 | zsp2 = abs(zrh_tl) |
---|
| 4239 | !-------------------------------------------------------------------- |
---|
| 4240 | ! Storing data |
---|
| 4241 | !-------------------------------------------------------------------- |
---|
| 4242 | CALL trj_rd_spl(file_wop) |
---|
| 4243 | zrh_wop = rhop (1,1,1) |
---|
| 4244 | CALL trj_rd_spl(file_xdx) |
---|
| 4245 | zrh_out = rhop (1,1,1) |
---|
| 4246 | !-------------------------------------------------------------------- |
---|
| 4247 | ! Compute the Linearization Error |
---|
| 4248 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 4249 | ! and |
---|
| 4250 | ! Compute the Linearization Error |
---|
| 4251 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 4252 | !-------------------------------------------------------------------- |
---|
| 4253 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 4254 | zrh_out = zrh_out - zrh_wop |
---|
| 4255 | zrh_wop = zrh_out - zrh_tl |
---|
| 4256 | |
---|
| 4257 | zsp1 = abs(zrh_out) |
---|
| 4258 | zsp3 = abs(zrh_wop) |
---|
| 4259 | !-------------------------------------------------------------------- |
---|
| 4260 | ! Print the linearization error En - norme 2 |
---|
| 4261 | !-------------------------------------------------------------------- |
---|
| 4262 | ! 14 char:'12345678901234' |
---|
| 4263 | cl_name = 'eos_1pt:En ' |
---|
| 4264 | zzsp = zsp3 |
---|
| 4265 | zgsp5 = zzsp |
---|
| 4266 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4267 | !-------------------------------------------------------------------- |
---|
| 4268 | ! Compute TLM norm2 |
---|
| 4269 | !-------------------------------------------------------------------- |
---|
| 4270 | zzsp = zsp2 |
---|
| 4271 | zgsp4 = zzsp |
---|
| 4272 | cl_name = 'eos_1pt:Ln2' |
---|
| 4273 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4274 | !-------------------------------------------------------------------- |
---|
| 4275 | ! Print the linearization error Nn - norme 2 |
---|
| 4276 | !-------------------------------------------------------------------- |
---|
| 4277 | zzsp = zsp1 |
---|
| 4278 | cl_name = 'eos_1pt:Mhdx-Mx' |
---|
| 4279 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4280 | |
---|
| 4281 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 4282 | zgsp7 = zgsp3/gamma |
---|
| 4283 | zgsp1 = zzsp |
---|
| 4284 | zgsp2 = zgsp1 / zgsp4 |
---|
| 4285 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 4286 | |
---|
| 4287 | 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)" |
---|
| 4288 | WRITE(numtan,FMT) 'eos1pt ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 4289 | ENDIF |
---|
| 4290 | |
---|
| 4291 | END SUBROUTINE eos_pot_1pt_tlm_tst |
---|
| 4292 | |
---|
| 4293 | SUBROUTINE bn2_tlm_tst( kumadt ) |
---|
| 4294 | !!----------------------------------------------------------------------- |
---|
| 4295 | !! |
---|
| 4296 | !! *** ROUTINE bn2_tlm_tst *** |
---|
| 4297 | !! |
---|
| 4298 | !! ** Purpose : Test the tangent routine. |
---|
| 4299 | !! |
---|
| 4300 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 4301 | !! |
---|
| 4302 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 4303 | !! |
---|
| 4304 | !! where L = tangent routine |
---|
| 4305 | !! M = direct routine |
---|
| 4306 | !! dx = input perturbation (random field) |
---|
| 4307 | !! h = ration on perturbation |
---|
| 4308 | !! |
---|
| 4309 | !! In the tangent test we verify that: |
---|
| 4310 | !! M(x+h*dx) - M(x) |
---|
| 4311 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 4312 | !! L(h*dx) |
---|
| 4313 | !! and |
---|
| 4314 | !! g(h) - 1 |
---|
| 4315 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 4316 | !! p |
---|
| 4317 | !! |
---|
| 4318 | !! History : |
---|
| 4319 | !! ! 09-12 (A. Vigilant) |
---|
| 4320 | !!----------------------------------------------------------------------- |
---|
| 4321 | !! * Modules used |
---|
| 4322 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 4323 | & bn2 |
---|
| 4324 | USE tamtrj ! writing out state trajectory |
---|
| 4325 | USE par_tlm, ONLY: & |
---|
| 4326 | & tlm_bch, & |
---|
| 4327 | & cur_loop, & |
---|
| 4328 | & h_ratio |
---|
| 4329 | USE istate_mod |
---|
| 4330 | USE sshwzv ! vertical velocity |
---|
| 4331 | USE gridrandom, ONLY: & |
---|
| 4332 | & grid_rd_sd |
---|
| 4333 | USE trj_tam |
---|
| 4334 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 4335 | & tn, sn, rn2 |
---|
| 4336 | USE oce_tam , ONLY: & |
---|
| 4337 | & tn_tl, & |
---|
| 4338 | & sn_tl, & |
---|
| 4339 | & rn2_tl |
---|
| 4340 | USE in_out_manager, ONLY: & ! I/O manager & |
---|
| 4341 | & nit000 |
---|
| 4342 | USE tamctl, ONLY: & ! Control parameters |
---|
| 4343 | & numtan, numtan_sc |
---|
| 4344 | !! * Arguments |
---|
| 4345 | INTEGER, INTENT(IN) :: & |
---|
| 4346 | & kumadt ! Output unit |
---|
| 4347 | !! * Local declarations |
---|
| 4348 | INTEGER :: & |
---|
| 4349 | & ji, & ! dummy loop indices |
---|
| 4350 | & jj, & |
---|
| 4351 | & jk |
---|
| 4352 | REAL(KIND=wp) :: & |
---|
| 4353 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 4354 | & zsp2, & ! scalar product involving the tangent routine |
---|
| 4355 | & zsp3, & ! scalar product involving the tangent routine |
---|
| 4356 | & zzsp, & ! scalar product involving the tangent routine |
---|
| 4357 | & gamma, & |
---|
| 4358 | & zgsp1, & |
---|
| 4359 | & zgsp2, & |
---|
| 4360 | & zgsp3, & |
---|
| 4361 | & zgsp4, & |
---|
| 4362 | & zgsp5, & |
---|
| 4363 | & zgsp6, & |
---|
| 4364 | & zgsp7 |
---|
| 4365 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 4366 | & ztn_tlin, & ! potential temperature |
---|
| 4367 | & zsn_tlin, & ! salinity |
---|
| 4368 | & zrn2_out, & ! Brunt-Vaisala frequency [s-1] Direct output |
---|
| 4369 | & zrn2_wop, & ! Brunt-Vaisala frequency [s-1] Direct output w/o perturbation |
---|
| 4370 | & z3r |
---|
| 4371 | CHARACTER(LEN=14) :: cl_name |
---|
| 4372 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
---|
| 4373 | CHARACTER (LEN=90) :: FMT |
---|
| 4374 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 4375 | & zscrn2, & |
---|
| 4376 | & zscerrrn2 |
---|
| 4377 | INTEGER, DIMENSION(100):: & |
---|
| 4378 | & iiposrn2,ijposrn2, ikposrn2 |
---|
| 4379 | INTEGER:: & |
---|
| 4380 | & ii, & |
---|
| 4381 | & isamp=40, & |
---|
| 4382 | & jsamp=40, & |
---|
| 4383 | & ksamp=10, & |
---|
| 4384 | & numsctlm |
---|
| 4385 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 4386 | & zerrrn2 |
---|
| 4387 | |
---|
| 4388 | ! Allocate memory |
---|
| 4389 | ALLOCATE( & |
---|
| 4390 | & zsn_tlin( jpi, jpj, jpk ), & |
---|
| 4391 | & ztn_tlin( jpi, jpj, jpk ), & |
---|
| 4392 | & zrn2_out( jpi, jpj, jpk ), & |
---|
| 4393 | & zrn2_wop( jpi, jpj, jpk ), & |
---|
| 4394 | & z3r( jpi, jpj, jpk ) ) |
---|
| 4395 | |
---|
| 4396 | |
---|
| 4397 | !-------------------------------------------------------------------- |
---|
| 4398 | ! Output filename Xn=F(X0) |
---|
| 4399 | !-------------------------------------------------------------------- |
---|
| 4400 | !! CALL tlm_namrd |
---|
| 4401 | gamma = h_ratio |
---|
| 4402 | file_wop='trj_wop_bn2' |
---|
| 4403 | file_xdx='trj_xdx_bn2' |
---|
| 4404 | !-------------------------------------------------------------------- |
---|
| 4405 | ! Initialize the tangent input with random noise: dx |
---|
| 4406 | !-------------------------------------------------------------------- |
---|
| 4407 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 4408 | CALL grid_rd_sd( 264940, z3r, 'T', 0.0_wp, stdt) |
---|
| 4409 | DO jk = 1, jpk |
---|
| 4410 | DO jj = nldj, nlej |
---|
| 4411 | DO ji = nldi, nlei |
---|
| 4412 | ztn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 4413 | END DO |
---|
| 4414 | END DO |
---|
| 4415 | END DO |
---|
| 4416 | CALL grid_rd_sd( 618304, z3r, 'T', 0.0_wp, stds) |
---|
| 4417 | DO jk = 1, jpk |
---|
| 4418 | DO jj = nldj, nlej |
---|
| 4419 | DO ji = nldi, nlei |
---|
| 4420 | zsn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 4421 | END DO |
---|
| 4422 | END DO |
---|
| 4423 | END DO |
---|
| 4424 | ENDIF |
---|
| 4425 | !-------------------------------------------------------------------- |
---|
| 4426 | ! Complete Init for Direct |
---|
| 4427 | !------------------------------------------------------------------- |
---|
| 4428 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
| 4429 | |
---|
| 4430 | ! *** initialize the reference trajectory |
---|
| 4431 | ! ------------ |
---|
| 4432 | CALL trj_rea( nit000-1, 1 ) |
---|
| 4433 | |
---|
| 4434 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 4435 | |
---|
| 4436 | ztn_tlin(:,:,:) = gamma * ztn_tlin(:,:,:) |
---|
| 4437 | tn(:,:,:) = tn(:,:,:) + ztn_tlin(:,:,:) |
---|
| 4438 | |
---|
| 4439 | zsn_tlin(:,:,:) = gamma * zsn_tlin(:,:,:) |
---|
| 4440 | sn(:,:,:) = sn(:,:,:) + zsn_tlin(:,:,:) |
---|
| 4441 | |
---|
| 4442 | ENDIF |
---|
| 4443 | |
---|
| 4444 | !-------------------------------------------------------------------- |
---|
| 4445 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 4446 | !-------------------------------------------------------------------- |
---|
| 4447 | IF ( tlm_bch /= 2 ) CALL bn2(tn, sn, rn2) |
---|
| 4448 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 4449 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
| 4450 | !-------------------------------------------------------------------- |
---|
| 4451 | ! Compute the Tangent |
---|
| 4452 | !-------------------------------------------------------------------- |
---|
| 4453 | IF ( tlm_bch == 2 ) THEN |
---|
| 4454 | !-------------------------------------------------------------------- |
---|
| 4455 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 4456 | !-------------------------------------------------------------------- |
---|
| 4457 | CALL trj_rea( nit000-1, 1 ) |
---|
| 4458 | tn_tl (:,:,:) = ztn_tlin (:,:,:) |
---|
| 4459 | sn_tl (:,:,:) = zsn_tlin (:,:,:) |
---|
| 4460 | |
---|
| 4461 | !----------------------------------------------------------------------- |
---|
| 4462 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 4463 | !----------------------------------------------------------------------- |
---|
| 4464 | CALL bn2_tan(tn, sn, ztn_tlin, zsn_tlin, rn2_tl) |
---|
| 4465 | |
---|
| 4466 | !-------------------------------------------------------------------- |
---|
| 4467 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 4468 | !-------------------------------------------------------------------- |
---|
| 4469 | zsp2 = DOT_PRODUCT( rn2_tl, rn2_tl ) |
---|
| 4470 | |
---|
| 4471 | !-------------------------------------------------------------------- |
---|
| 4472 | ! Storing data |
---|
| 4473 | !-------------------------------------------------------------------- |
---|
| 4474 | CALL trj_rd_spl(file_wop) |
---|
| 4475 | zrn2_wop (:,:,:) = rn2 (:,:,:) |
---|
| 4476 | CALL trj_rd_spl(file_xdx) |
---|
| 4477 | zrn2_out (:,:,:) = rn2 (:,:,:) |
---|
| 4478 | !-------------------------------------------------------------------- |
---|
| 4479 | ! Compute the Linearization Error |
---|
| 4480 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 4481 | ! and |
---|
| 4482 | ! Compute the Linearization Error |
---|
| 4483 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 4484 | !-------------------------------------------------------------------- |
---|
| 4485 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 4486 | ii=0 |
---|
| 4487 | DO jk = 1, jpk |
---|
| 4488 | DO jj = 1, jpj |
---|
| 4489 | DO ji = 1, jpi |
---|
| 4490 | zrn2_out (ji,jj,jk) = zrn2_out (ji,jj,jk) - zrn2_wop (ji,jj,jk) |
---|
| 4491 | zrn2_wop (ji,jj,jk) = zrn2_out (ji,jj,jk) - rn2_tl (ji,jj,jk) |
---|
| 4492 | IF ( rn2_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 4493 | & zerrrn2(ji,jj,jk) = zrn2_out(ji,jj,jk)/rn2_tl(ji,jj,jk) |
---|
| 4494 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 4495 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 4496 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 4497 | ii = ii+1 |
---|
| 4498 | iiposrn2(ii) = ji |
---|
| 4499 | ijposrn2(ii) = jj |
---|
| 4500 | ikposrn2(ii) = jk |
---|
| 4501 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 4502 | zscrn2 (ii) = zrn2_wop(ji,jj,jk) |
---|
| 4503 | zscerrrn2 (ii) = ( zerrrn2(ji,jj,jk) - 1.0_wp ) / gamma |
---|
| 4504 | ENDIF |
---|
| 4505 | ENDIF |
---|
| 4506 | END DO |
---|
| 4507 | END DO |
---|
| 4508 | END DO |
---|
| 4509 | |
---|
| 4510 | zsp1 = DOT_PRODUCT( zrn2_out, zrn2_out ) |
---|
| 4511 | |
---|
| 4512 | zsp3 = DOT_PRODUCT( zrn2_wop, zrn2_wop ) |
---|
| 4513 | |
---|
| 4514 | !-------------------------------------------------------------------- |
---|
| 4515 | ! Print the linearization error En - norme 2 |
---|
| 4516 | !-------------------------------------------------------------------- |
---|
| 4517 | ! 14 char:'12345678901234' |
---|
| 4518 | cl_name = 'eosbn2_tam:En ' |
---|
| 4519 | zzsp = SQRT(zsp3) |
---|
| 4520 | zgsp5 = zzsp |
---|
| 4521 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4522 | !-------------------------------------------------------------------- |
---|
| 4523 | ! Compute TLM norm2 |
---|
| 4524 | !-------------------------------------------------------------------- |
---|
| 4525 | zzsp = SQRT(zsp2) |
---|
| 4526 | zgsp4 = zzsp |
---|
| 4527 | cl_name = 'eosbn2_tam:Ln2' |
---|
| 4528 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4529 | !-------------------------------------------------------------------- |
---|
| 4530 | ! Print the linearization error Nn - norme 2 |
---|
| 4531 | !-------------------------------------------------------------------- |
---|
| 4532 | zzsp = SQRT(zsp1) |
---|
| 4533 | cl_name = 'traadv:Mhdx-Mx' |
---|
| 4534 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4535 | |
---|
| 4536 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 4537 | zgsp7 = zgsp3/gamma |
---|
| 4538 | zgsp1 = zzsp |
---|
| 4539 | zgsp2 = zgsp1 / zgsp4 |
---|
| 4540 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 4541 | |
---|
| 4542 | 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)" |
---|
| 4543 | WRITE(numtan,FMT) 'eosbn2 ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 4544 | |
---|
| 4545 | !-------------------------------------------------------------------- |
---|
| 4546 | ! Unitary calculus |
---|
| 4547 | !-------------------------------------------------------------------- |
---|
| 4548 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 4549 | cl_name = 'eosbn2 ' |
---|
| 4550 | IF(lwp) THEN |
---|
| 4551 | DO ii=1, 100, 1 |
---|
| 4552 | IF ( zscrn2(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrn2 ', & |
---|
| 4553 | & cur_loop, h_ratio, ii, iiposrn2(ii), ijposrn2(ii), zscrn2(ii) |
---|
| 4554 | ENDDO |
---|
| 4555 | ! write separator |
---|
| 4556 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 4557 | ENDIF |
---|
| 4558 | |
---|
| 4559 | ENDIF |
---|
| 4560 | |
---|
| 4561 | DEALLOCATE( & |
---|
| 4562 | & ztn_tlin, zsn_tlin, & |
---|
| 4563 | & zrn2_out, zrn2_wop, & |
---|
| 4564 | & z3r & |
---|
| 4565 | & ) |
---|
| 4566 | |
---|
| 4567 | END SUBROUTINE bn2_tlm_tst |
---|
| 4568 | |
---|
| 4569 | SUBROUTINE eos_tlm_tst( kumadt ) |
---|
| 4570 | !!----------------------------------------------------------------------- |
---|
| 4571 | !! |
---|
| 4572 | !! *** ROUTINE eos_tlm_tst *** |
---|
| 4573 | !! |
---|
| 4574 | !! ** Purpose : Test the tangent routine. |
---|
| 4575 | !! |
---|
| 4576 | !! History : |
---|
| 4577 | !! ! 09-08 (F. Vigilant) |
---|
| 4578 | !!----------------------------------------------------------------------- |
---|
| 4579 | !! * Modules used |
---|
| 4580 | !! * Arguments |
---|
| 4581 | INTEGER, INTENT(IN) :: & |
---|
| 4582 | & kumadt ! Output unit |
---|
| 4583 | |
---|
| 4584 | CALL eos_insitu_tlm_tst( kumadt ) |
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| 4585 | CALL eos_insitu_pot_tlm_tst( kumadt ) |
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| 4586 | CALL eos_insitu_2d_tlm_tst( kumadt ) |
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| 4587 | CALL eos_pot_1pt_tlm_tst( kumadt ) |
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| 4588 | |
---|
| 4589 | END SUBROUTINE eos_tlm_tst |
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| 4590 | #endif |
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| 4591 | #endif |
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| 4592 | !!====================================================================== |
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| 4593 | END MODULE eosbn2_tam |
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