[1885] | 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 | !!=========================================================================== !! History of the direct Module : |
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| 8 | !! ! 89-03 (O. Marti) Original code |
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| 9 | !! 6.0 ! 94-07 (G. Madec, M. Imbard) add bn2 |
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| 10 | !! 6.0 ! 94-08 (G. Madec) Add Jackett & McDougall eos |
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| 11 | !! 7.0 ! 96-01 (G. Madec) statement function for e3 |
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| 12 | !! 8.1 ! 97-07 (G. Madec) introduction of neos, OPA8.1 |
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| 13 | !! 8.1 ! 97-07 (G. Madec) density instead of volumic mass |
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| 14 | !! ! 99-02 (G. Madec, N. Grima) semi-implicit pressure gradient |
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| 15 | !! ! 01-09 (M. Ben Jelloul) bugfix onlinear eos |
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| 16 | !! 8.5 ! 02-10 (G. Madec) add eos_init |
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| 17 | !! 8.5 ! 02-11 (G. Madec, A. Bozec) partial step, eos_insitu_2d |
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| 18 | !! 9.0 ! 03-08 (G. Madec) F90, free form |
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| 19 | !! 9.0 ! 06-08 (G. Madec) add tfreez function |
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| 20 | !! History of the TAM Module : |
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| 21 | !! 8.2 ! 05-03 (F. Van den Berghe, A. Weaver, N. Daget) |
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| 22 | !! - eostan.F |
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| 23 | !! 9.0 ! 07-07 (K. Mogensen) Initial version based on eostan.F |
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| 24 | !! ! 08-07 (A. Vidard) bug fix in computation of prd_tl if neos=1 |
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| 25 | !! ! 08-11 (A. Vidard) TAM of the 06-08 version |
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| 26 | !!---------------------------------------------------------------------- |
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| 27 | |
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| 28 | !!---------------------------------------------------------------------- |
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| 29 | !! Direct subroutines |
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| 30 | !! eos : generic interface of the equation of state |
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| 31 | !! eos_insitu : Compute the in situ density |
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| 32 | !! eos_insitu_pot : Compute the insitu and surface referenced potential |
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| 33 | !! volumic mass |
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| 34 | !! eos_insitu_2d : Compute the in situ density for 2d fields |
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| 35 | !! eos_insitu_pot_1pt : Compute the in situ density for a single point |
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| 36 | !! eos_bn2 : Compute the Brunt-Vaisala frequency |
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| 37 | !! tfreez : Compute the surface freezing temperature (NOT IN TAM) |
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| 38 | !! eos_init : set eos parameters (namelist) |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | !! * Modules used |
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| 41 | #if defined key_zdfddm |
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| 42 | USE oce_tam , ONLY: & |
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| 43 | & rrau_tl, & |
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| 44 | & rrau_ad |
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| 45 | #endif |
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| 46 | USE dom_oce , ONLY: & ! ocean space and time domain |
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| 47 | & tmask, & |
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| 48 | & e1t, & |
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| 49 | & e2t, & |
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| 50 | #if defined key_zco |
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| 51 | & e3t_0, & |
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| 52 | & e3w_0, & |
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| 53 | & gdept_0, & |
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| 54 | & gdepw_0, & |
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| 55 | #else |
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| 56 | & e3t, & |
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| 57 | & e3w, & |
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| 58 | & gdept, & |
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| 59 | & gdepw, & |
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| 60 | #endif |
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| 61 | & mig, & |
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| 62 | & mjg, & |
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| 63 | & nperio, & |
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| 64 | & nldi, & |
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| 65 | & nldj, & |
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| 66 | & nlei, & |
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| 67 | & nlej |
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| 68 | USE par_kind , ONLY: & |
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| 69 | & wp |
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| 70 | USE par_oce , ONLY: & |
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| 71 | & jpi, & |
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| 72 | & jpj, & |
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| 73 | & jpk, & |
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| 74 | & jpim1, & |
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| 75 | & jpjm1, & |
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| 76 | & jpkm1, & |
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| 77 | & jpiglo |
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| 78 | USE oce , ONLY: & |
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| 79 | & tn, & |
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| 80 | & sn |
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| 81 | USE phycst , ONLY: & ! physical constants |
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| 82 | & rau0, & |
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| 83 | & grav |
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| 84 | USE in_out_manager, ONLY: & ! I/O manager |
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| 85 | & lwp, & |
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| 86 | & ctmp1, & |
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| 87 | & numout, & |
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| 88 | & ctl_stop |
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| 89 | #if defined key_zdfddm |
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| 90 | USE zdfddm ! vertical physics: double diffusion |
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| 91 | #endif |
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| 92 | USE eosbn2 , ONLY: & |
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| 93 | & eos_init, & |
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| 94 | & neos_init, & |
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| 95 | & neos, & |
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| 96 | & ralpha, & |
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| 97 | & rbeta |
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| 98 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 99 | & grid_random |
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| 100 | USE dotprodfld , ONLY: & ! Computes dot product for 3D and 2D fields |
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| 101 | & dot_product |
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| 102 | USE tstool_tam , ONLY: & |
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| 103 | & prntst_adj, & |
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| 104 | & prntst_tlm, & ! |
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| 105 | & stds, & |
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| 106 | & stdt |
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| 107 | IMPLICIT NONE |
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| 108 | PRIVATE |
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| 109 | |
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| 110 | !! * Interface |
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| 111 | INTERFACE eos_tan |
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| 112 | MODULE PROCEDURE eos_insitu_tan, eos_insitu_pot_tan, eos_insitu_2d_tan |
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| 113 | END INTERFACE |
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| 114 | INTERFACE eos_adj |
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| 115 | MODULE PROCEDURE eos_insitu_adj, eos_insitu_pot_adj, eos_insitu_2d_adj |
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| 116 | END INTERFACE |
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| 117 | INTERFACE bn2_tan |
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| 118 | MODULE PROCEDURE eos_bn2_tan |
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| 119 | END INTERFACE |
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| 120 | INTERFACE bn2_adj |
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| 121 | MODULE PROCEDURE eos_bn2_adj |
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| 122 | END INTERFACE |
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| 123 | |
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| 124 | !! * Routine accessibility |
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| 125 | PUBLIC eos_tan ! called by step.F90, inidtr.F90, tranpc.F90 and intgrd.F90 |
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| 126 | PUBLIC bn2_tan ! called by step.F90 |
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| 127 | PUBLIC eos_adj ! called by step.F90, inidtr.F90, tranpc.F90 and intgrd.F90 |
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| 128 | PUBLIC bn2_adj ! called by step.F90 |
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| 129 | #if defined key_tam |
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| 130 | PUBLIC eos_adj_tst |
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| 131 | PUBLIC bn2_adj_tst |
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[2587] | 132 | #if defined key_tst_tlm |
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[1885] | 133 | PUBLIC eos_tlm_tst |
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| 134 | PUBLIC bn2_tlm_tst |
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| 135 | #endif |
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[2587] | 136 | #endif |
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[1885] | 137 | |
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| 138 | |
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| 139 | !! * Substitutions |
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| 140 | # include "domzgr_substitute.h90" |
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| 141 | # include "vectopt_loop_substitute.h90" |
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| 142 | |
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| 143 | CONTAINS |
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| 144 | |
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| 145 | SUBROUTINE eos_insitu_tan( ptem, psal, ptem_tl, psal_tl, prd_tl ) |
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| 146 | !!----------------------------------------------------------------------- |
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| 147 | !! |
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| 148 | !! *** ROUTINE eos_insitu_tan : TL OF ROUTINE eos_insitu *** |
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| 149 | !! |
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| 150 | !! ** Purpose of direct routine : Compute the in situ density |
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| 151 | !! (ratio rho/rau0) from potential temperature and salinity |
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| 152 | !! using an equation of state defined through the namelist |
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| 153 | !! parameter neos. |
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| 154 | !! |
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| 155 | !! ** Method of direct routine : 3 cases: |
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| 156 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
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| 157 | !! the in situ density is computed directly as a function of |
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| 158 | !! potential temperature relative to the surface (the opa t |
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| 159 | !! variable), salt and pressure (assuming no pressure variation |
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| 160 | !! along geopotential surfaces, i.e. the pressure p in decibars |
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| 161 | !! is approximated by the depth in meters. |
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| 162 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
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| 163 | !! with pressure p decibars |
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| 164 | !! potential temperature t deg celsius |
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| 165 | !! salinity s psu |
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| 166 | !! reference volumic mass rau0 kg/m**3 |
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| 167 | !! in situ volumic mass rho kg/m**3 |
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| 168 | !! in situ density anomalie prd no units |
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| 169 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
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| 170 | !! t = 40 deg celcius, s=40 psu |
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| 171 | !! neos = 1 : linear equation of state function of temperature only |
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| 172 | !! prd(t) = 0.0285 - ralpha * t |
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| 173 | !! neos = 2 : linear equation of state function of temperature and |
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| 174 | !! salinity |
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| 175 | !! prd(t,s) = rbeta * s - ralpha * tn - 1. |
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| 176 | !! Note that no boundary condition problem occurs in this routine |
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| 177 | !! as (ptem,psal) are defined over the whole domain. |
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| 178 | !! |
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| 179 | !! ** Comments on Adjoint Routine : |
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| 180 | !! Care has been taken to avoid division by zero when computing |
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| 181 | !! the inverse of the square root of salinity at masked salinity |
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| 182 | !! points. |
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| 183 | !! |
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| 184 | !! * Arguments |
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| 185 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
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| 186 | & ptem, & ! potential temperature |
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| 187 | & psal, & ! salinity |
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| 188 | & ptem_tl, & ! TL of potential temperature |
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| 189 | & psal_tl ! TL of salinity |
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| 190 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out ) :: & |
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| 191 | & prd_tl ! TL of potential density (surface referenced) |
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| 192 | !! * Local declarations |
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| 193 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 194 | REAL(wp) :: & ! temporary scalars |
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| 195 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
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| 196 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
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| 197 | zttl, zstl, zhtl, zsrtl, zr1tl, zr2tl, zr3tl, & |
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| 198 | zr4tl, zrhoptl, zetl, zbwtl, & |
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| 199 | zbtl, zdtl, zctl, zawtl, zatl, zb1tl, za1tl, & |
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| 200 | zkwtl, zk0tl, zpes, zrdc1, zrdc2, zeps, & |
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| 201 | zmask |
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| 202 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
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| 203 | !!---------------------------------------------------------------------- |
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| 204 | |
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| 205 | |
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| 206 | ! initialization (in not already done) |
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| 207 | IF( neos_init == 0 ) CALL eos_init |
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| 208 | |
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| 209 | SELECT CASE ( neos ) |
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| 210 | |
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| 211 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
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| 212 | |
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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 | ! ! =============== |
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| 223 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 224 | ! ! =============== |
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| 225 | DO jj = 1, jpj |
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| 226 | DO ji = 1, jpi |
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| 227 | zt = ptem(ji,jj,jk) |
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| 228 | zs = psal(ji,jj,jk) |
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| 229 | ! depth |
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| 230 | zh = fsdept(ji,jj,jk) |
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| 231 | ! square root salinity |
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| 232 | zsr= zws(ji,jj,jk) |
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| 233 | ! compute volumic mass pure water at atm pressure |
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| 234 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
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| 235 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
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| 236 | ! seawater volumic mass atm pressure |
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| 237 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
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| 238 | -4.0899e-3 ) *zt+0.824493 |
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| 239 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
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| 240 | zr4= 4.8314e-4 |
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| 241 | |
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| 242 | ! potential volumic mass (reference to the surface) |
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| 243 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
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| 244 | |
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| 245 | ! add the compression terms |
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| 246 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
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| 247 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
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| 248 | zb = zbw + ze * zs |
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| 249 | |
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| 250 | zd = -2.042967e-2 |
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| 251 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
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| 252 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
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| 253 | za = ( zd*zsr + zc ) *zs + zaw |
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| 254 | |
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| 255 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
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| 256 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
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| 257 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
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| 258 | zk0= ( zb1*zsr + za1 )*zs + zkw |
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| 259 | |
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| 260 | ! Tangent linear part |
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| 261 | |
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| 262 | zttl = ptem_tl(ji,jj,jk) |
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| 263 | zstl = psal_tl(ji,jj,jk) |
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| 264 | |
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| 265 | zsrtl= ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
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| 266 | & * tmask(ji,jj,jk) * zstl |
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| 267 | |
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| 268 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
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| 269 | & -4.*1.120083e-6 ) * zt & |
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| 270 | & +3.*1.001685e-4 ) * zt & |
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| 271 | & -2.*9.095290e-3 ) * zt & |
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| 272 | & + 6.793952e-2 ) * zttl |
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| 273 | |
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| 274 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
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| 275 | & -3.*8.2467e-7 ) * zt & |
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| 276 | & +2.*7.6438e-5 ) * zt & |
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| 277 | & - 4.0899e-3 ) * zttl |
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| 278 | |
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| 279 | zr3tl= ( -2.*1.6546e-6 * zt & |
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| 280 | & + 1.0227e-4 ) * zttl |
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| 281 | |
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| 282 | zrhoptl= zr1tl & |
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| 283 | & + zs * zr2tl & |
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| 284 | & + zsr * zs * zr3tl & |
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| 285 | & + zr3 * zs * zsrtl & |
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| 286 | & + ( 2. * zr4 * zs + zr2 & |
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| 287 | & + zr3 * zsr ) * zstl |
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| 288 | |
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| 289 | zetl = ( -2.*3.508914e-8 * zt & |
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| 290 | & - 1.248266e-8 ) * zttl |
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| 291 | |
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| 292 | zbwtl= ( 2.*1.296821e-6 * zt & |
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| 293 | & - 5.782165e-9 ) * zttl |
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| 294 | |
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| 295 | zbtl = zbwtl & |
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| 296 | & + zs * zetl & |
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| 297 | & + ze * zstl |
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| 298 | |
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| 299 | zctl = ( -2.*7.267926e-5 * zt & |
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| 300 | & + 2.598241e-3 ) * zttl |
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| 301 | |
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| 302 | zawtl= ( ( 3.*5.939910e-6 * zt & |
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| 303 | & +2.*2.512549e-3 ) * zt & |
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| 304 | & - 0.1028859 ) * zttl |
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| 305 | |
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| 306 | zatl = zawtl & |
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| 307 | & + zd * zs * zsrtl & |
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| 308 | & + zs * zctl & |
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| 309 | & + ( zd * zsr + zc ) * zstl |
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| 310 | |
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| 311 | zb1tl= ( -2.*0.1909078 * zt & |
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| 312 | & + 7.390729 ) * zttl |
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| 313 | |
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| 314 | za1tl= ( ( 3.*2.326469e-3 * zt & |
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| 315 | & +2.*1.553190 ) * zt & |
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| 316 | & - 65.00517 ) * zttl |
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| 317 | |
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| 318 | zkwtl= ( ( ( -4.*1.361629e-4 * zt & |
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| 319 | & -3.*1.852732e-2 ) * zt & |
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| 320 | & -2.*30.41638 ) * zt & |
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| 321 | & + 2098.925 ) * zttl |
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| 322 | |
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| 323 | zk0tl= zkwtl & |
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| 324 | & + zb1 * zs * zsrtl & |
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| 325 | & + zs * zsr * zb1tl & |
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| 326 | & + zs * za1tl & |
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| 327 | & + ( zb1 * zsr + za1 ) * zstl |
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| 328 | |
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| 329 | ! Masked in situ density anomaly |
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| 330 | |
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| 331 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
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| 332 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
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| 333 | |
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| 334 | prd_tl(ji,jj,jk) = tmask(ji,jj,jk) * zrdc2 * & |
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| 335 | & ( zrhoptl & |
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| 336 | & - zrdc2 * zh * zrdc1**2 * zrhop & |
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| 337 | & * ( zk0tl & |
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| 338 | & - zh * ( zatl & |
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| 339 | & - zh * zbtl ) ) )& |
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| 340 | & / rau0 |
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| 341 | |
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| 342 | END DO |
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| 343 | |
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| 344 | END DO |
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| 345 | ! ! =============== |
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| 346 | END DO ! End of slab |
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| 347 | ! ! =============== |
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| 348 | |
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| 349 | CASE ( 1 ) ! Linear formulation function of temperature only |
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| 350 | |
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| 351 | ! ! =============== |
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| 352 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 353 | ! ! =============== |
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| 354 | DO jj = 1, jpj |
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| 355 | DO ji = 1, jpi |
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| 356 | zttl = ptem_tl(ji,jj,jk) |
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| 357 | ! ... density and potential volumic mass |
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| 358 | prd_tl(ji,jj,jk) = ( - ralpha * zttl ) * tmask(ji,jj,jk) |
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| 359 | END DO |
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| 360 | END DO |
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| 361 | ! ! =============== |
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| 362 | END DO ! End of slab |
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| 363 | ! ! =============== |
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| 364 | |
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| 365 | |
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| 366 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
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| 367 | |
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| 368 | ! ! =============== |
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| 369 | DO jk = 1, jpkm1 ! Horizontal slab |
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| 370 | ! ! =============== |
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| 371 | DO jj = 1, jpj |
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| 372 | DO ji = 1, jpi |
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| 373 | zttl = ptem_tl(ji,jj,jk) |
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| 374 | zstl = psal_tl(ji,jj,jk) |
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| 375 | ! ... density and potential volumic mass |
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| 376 | prd_tl(ji,jj,jk) = ( rbeta * zstl - ralpha * zttl ) * tmask(ji,jj,jk) |
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| 377 | END DO |
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| 378 | END DO |
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| 379 | ! ! =============== |
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| 380 | END DO ! End of slab |
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| 381 | ! ! =============== |
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| 382 | |
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| 383 | CASE DEFAULT |
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| 384 | |
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| 385 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
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| 386 | CALL ctl_stop( ctmp1 ) |
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| 387 | |
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| 388 | END SELECT |
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| 389 | |
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| 390 | END SUBROUTINE eos_insitu_tan |
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| 391 | |
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| 392 | SUBROUTINE eos_insitu_pot_tan( ptem, psal, ptem_tl, psal_tl, prd_tl, prhop_tl) |
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| 393 | !!---------------------------------------------------------------------- |
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| 394 | !! *** ROUTINE eos_insitu_pot_tan *** |
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| 395 | !! |
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| 396 | !! ** Purpose or the direct routine: |
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| 397 | !! Compute the in situ density (ratio rho/rau0) and the |
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| 398 | !! potential volumic mass (Kg/m3) from potential temperature and |
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| 399 | !! salinity fields using an equation of state defined through the |
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| 400 | !! namelist parameter neos. |
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| 401 | !! |
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| 402 | !! ** Method : |
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| 403 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
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| 404 | !! the in situ density is computed directly as a function of |
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| 405 | !! potential temperature relative to the surface (the opa t |
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| 406 | !! variable), salt and pressure (assuming no pressure variation |
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| 407 | !! along geopotential surfaces, i.e. the pressure p in decibars |
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| 408 | !! is approximated by the depth in meters. |
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| 409 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
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| 410 | !! rhop(t,s) = rho(t,s,0) |
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| 411 | !! with pressure p decibars |
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| 412 | !! potential temperature t deg celsius |
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| 413 | !! salinity s psu |
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| 414 | !! reference volumic mass rau0 kg/m**3 |
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| 415 | !! in situ volumic mass rho kg/m**3 |
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| 416 | !! in situ density anomalie prd no units |
---|
| 417 | !! |
---|
| 418 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 419 | !! t = 40 deg celcius, s=40 psu |
---|
| 420 | !! |
---|
| 421 | !! neos = 1 : linear equation of state function of temperature only |
---|
| 422 | !! prd(t) = ( rho(t) - rau0 ) / rau0 = 0.028 - ralpha * t |
---|
| 423 | !! rhop(t,s) = rho(t,s) |
---|
| 424 | !! |
---|
| 425 | !! neos = 2 : linear equation of state function of temperature and |
---|
| 426 | !! salinity |
---|
| 427 | !! prd(t,s) = ( rho(t,s) - rau0 ) / rau0 |
---|
| 428 | !! = rbeta * s - ralpha * tn - 1. |
---|
| 429 | !! rhop(t,s) = rho(t,s) |
---|
| 430 | !! Note that no boundary condition problem occurs in this routine |
---|
| 431 | !! as (tn,sn) or (ta,sa) are defined over the whole domain. |
---|
| 432 | !! |
---|
| 433 | !! ** Action : - prd , the in situ density (no units) |
---|
| 434 | !! - prhop, the potential volumic mass (Kg/m3) |
---|
| 435 | !! |
---|
| 436 | !! References : |
---|
| 437 | !! Jackett, D.R., and T.J. McDougall. J. Atmos. Ocean. Tech., 1994 |
---|
| 438 | !! Brown, J. A. and K. A. Campana. Mon. Weather Rev., 1978 |
---|
| 439 | !! |
---|
| 440 | !!---------------------------------------------------------------------- |
---|
| 441 | !! * Arguments |
---|
| 442 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 443 | ptem, & ! potential temperature |
---|
| 444 | psal ! salinity |
---|
| 445 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 446 | ptem_tl,& ! potential temperature |
---|
| 447 | psal_tl ! salinity |
---|
| 448 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out ) :: & |
---|
| 449 | prd_tl, & ! potential density (surface referenced) |
---|
| 450 | prhop_tl ! potential density (surface referenced) |
---|
| 451 | !! * Local declarations |
---|
| 452 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 453 | REAL(wp) :: & ! temporary scalars |
---|
| 454 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 455 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 456 | zttl, zstl, zhtl, zsrtl, zr1tl, zr2tl, zr3tl, & |
---|
| 457 | zr4tl, zrhoptl, zetl, zbwtl, & |
---|
| 458 | zbtl, zdtl, zctl, zawtl, zatl, zb1tl, za1tl, & |
---|
| 459 | zkwtl, zk0tl, zpes, zrdc1, zrdc2, zeps, & |
---|
| 460 | zmask |
---|
| 461 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
---|
| 462 | !!---------------------------------------------------------------------- |
---|
| 463 | |
---|
| 464 | ! initialization (in not already done) |
---|
| 465 | IF( neos_init == 0 ) CALL eos_init |
---|
| 466 | |
---|
| 467 | |
---|
| 468 | SELECT CASE ( neos ) |
---|
| 469 | |
---|
| 470 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 471 | |
---|
| 472 | #ifdef key_sp |
---|
| 473 | zeps = 1.e-7 |
---|
| 474 | #else |
---|
| 475 | zeps = 1.e-14 |
---|
| 476 | #endif |
---|
| 477 | |
---|
| 478 | !CDIR NOVERRCHK |
---|
| 479 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
---|
| 480 | |
---|
| 481 | ! ! =============== |
---|
| 482 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 483 | ! ! =============== |
---|
| 484 | DO jj = 1, jpj |
---|
| 485 | DO ji = 1, jpi |
---|
| 486 | zt = ptem(ji,jj,jk) |
---|
| 487 | zs = psal(ji,jj,jk) |
---|
| 488 | ! depth |
---|
| 489 | zh = fsdept(ji,jj,jk) |
---|
| 490 | ! square root salinity |
---|
| 491 | zsr = zws(ji,jj,jk) |
---|
| 492 | ! compute volumic mass pure water at atm pressure |
---|
| 493 | zr1 = ( ( ( ( 6.536332e-9 * zt - 1.120083e-6 ) * zt & |
---|
| 494 | & + 1.001685e-4 ) * zt - 9.095290e-3 ) * zt & |
---|
| 495 | & + 6.793952e-2 ) * zt + 999.842594 |
---|
| 496 | ! seawater volumic mass atm pressure |
---|
| 497 | zr2 = ( ( ( 5.3875e-9 * zt - 8.2467e-7 ) * zt & |
---|
| 498 | & + 7.6438e-5 ) * zt - 4.0899e-3 ) * zt & |
---|
| 499 | & + 0.824493 |
---|
| 500 | zr3 = ( -1.6546e-6 * zt + 1.0227e-4 ) * zt - 5.72466e-3 |
---|
| 501 | zr4 = 4.8314e-4 |
---|
| 502 | |
---|
| 503 | ! potential volumic mass (reference to the surface) |
---|
| 504 | zrhop= ( zr4 * zs + zr3 * zsr + zr2 ) * zs + zr1 |
---|
| 505 | |
---|
| 506 | ! add the compression terms |
---|
| 507 | ze = ( -3.508914e-8 * zt - 1.248266e-8 ) * zt - 2.595994e-6 |
---|
| 508 | zbw = ( 1.296821e-6 * zt - 5.782165e-9 ) * zt + 1.045941e-4 |
---|
| 509 | zb = zbw + ze * zs |
---|
| 510 | |
---|
| 511 | zd = -2.042967e-2 |
---|
| 512 | zc = (-7.267926e-5 * zt + 2.598241e-3 ) * zt + 0.1571896 |
---|
| 513 | zaw= ( ( 5.939910e-6 * zt + 2.512549e-3 ) * zt - 0.1028859 ) * zt - 4.721788 |
---|
| 514 | za = ( zd * zsr + zc ) * zs + zaw |
---|
| 515 | |
---|
| 516 | zb1 = (-0.1909078 * zt + 7.390729 ) * zt - 55.87545 |
---|
| 517 | za1 = ( ( 2.326469e-3 * zt + 1.553190 ) * zt - 65.00517 & |
---|
| 518 | & ) * zt + 1044.077 |
---|
| 519 | zkw = ( ( (-1.361629e-4 * zt - 1.852732e-2 ) * zt - 30.41638 & |
---|
| 520 | & ) * zt + 2098.925 ) * zt + 190925.6 |
---|
| 521 | zk0 = ( zb1 * zsr + za1 ) * zs + zkw |
---|
| 522 | |
---|
| 523 | |
---|
| 524 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 525 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 526 | |
---|
| 527 | ! Tangent linear part |
---|
| 528 | |
---|
| 529 | zttl = ptem_tl(ji,jj,jk) |
---|
| 530 | zstl = psal_tl(ji,jj,jk) |
---|
| 531 | |
---|
| 532 | zsrtl= ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 533 | & * tmask(ji,jj,jk) * zstl |
---|
| 534 | |
---|
| 535 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 536 | & -4.*1.120083e-6 ) * zt & |
---|
| 537 | & +3.*1.001685e-4 ) * zt & |
---|
| 538 | & -2.*9.095290e-3 ) * zt & |
---|
| 539 | & + 6.793952e-2 ) * zttl |
---|
| 540 | |
---|
| 541 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
---|
| 542 | & -3.*8.2467e-7 ) * zt & |
---|
| 543 | & +2.*7.6438e-5 ) * zt & |
---|
| 544 | & - 4.0899e-3 ) * zttl |
---|
| 545 | |
---|
| 546 | zr3tl= ( -2.*1.6546e-6 * zt & |
---|
| 547 | & + 1.0227e-4 ) * zttl |
---|
| 548 | |
---|
| 549 | zrhoptl= zr1tl & |
---|
| 550 | & + zs * zr2tl & |
---|
| 551 | & + zsr * zs * zr3tl & |
---|
| 552 | & + zr3 * zs * zsrtl & |
---|
| 553 | & + ( 2. * zr4 * zs + zr2 & |
---|
| 554 | & + zr3 * zsr ) * zstl |
---|
| 555 | |
---|
| 556 | prhop_tl(ji,jj,jk) = zrhoptl * tmask(ji,jj,jk) |
---|
| 557 | |
---|
| 558 | zetl = ( -2.*3.508914e-8 * zt & |
---|
| 559 | & - 1.248266e-8 ) * zttl |
---|
| 560 | |
---|
| 561 | zbwtl= ( 2.*1.296821e-6 * zt & |
---|
| 562 | & - 5.782165e-9 ) * zttl |
---|
| 563 | |
---|
| 564 | zbtl = zbwtl & |
---|
| 565 | & + zs * zetl & |
---|
| 566 | & + ze * zstl |
---|
| 567 | |
---|
| 568 | zctl = ( -2.*7.267926e-5 * zt & |
---|
| 569 | & + 2.598241e-3 ) * zttl |
---|
| 570 | |
---|
| 571 | zawtl= ( ( 3.*5.939910e-6 * zt & |
---|
| 572 | & +2.*2.512549e-3 ) * zt & |
---|
| 573 | & - 0.1028859 ) * zttl |
---|
| 574 | |
---|
| 575 | zatl = zawtl & |
---|
| 576 | & + zd * zs * zsrtl & |
---|
| 577 | & + zs * zctl & |
---|
| 578 | & + ( zd * zsr + zc ) * zstl |
---|
| 579 | |
---|
| 580 | zb1tl= ( -2.*0.1909078 * zt & |
---|
| 581 | & + 7.390729 ) * zttl |
---|
| 582 | |
---|
| 583 | za1tl= ( ( 3.*2.326469e-3 * zt & |
---|
| 584 | & +2.*1.553190 ) * zt & |
---|
| 585 | & - 65.00517 ) * zttl |
---|
| 586 | |
---|
| 587 | zkwtl= ( ( ( -4.*1.361629e-4 * zt & |
---|
| 588 | & -3.*1.852732e-2 ) * zt & |
---|
| 589 | & -2.*30.41638 ) * zt & |
---|
| 590 | & + 2098.925 ) * zttl |
---|
| 591 | |
---|
| 592 | zk0tl= zkwtl & |
---|
| 593 | & + zb1 * zs * zsrtl & |
---|
| 594 | & + zs * zsr * zb1tl & |
---|
| 595 | & + zs * za1tl & |
---|
| 596 | & + ( zb1 * zsr + za1 ) * zstl |
---|
| 597 | |
---|
| 598 | ! Masked in situ density anomaly |
---|
| 599 | |
---|
| 600 | prd_tl(ji,jj,jk) = tmask(ji,jj,jk) * zrdc2 * & |
---|
| 601 | & ( zrhoptl & |
---|
| 602 | & - zrdc2 * zh * zrdc1**2 * zrhop & |
---|
| 603 | & * ( zk0tl & |
---|
| 604 | & - zh * ( zatl & |
---|
| 605 | & - zh * zbtl ) ) )& |
---|
| 606 | & / rau0 |
---|
| 607 | END DO |
---|
| 608 | |
---|
| 609 | END DO |
---|
| 610 | ! ! =============== |
---|
| 611 | END DO ! End of slab |
---|
| 612 | ! ! =============== |
---|
| 613 | |
---|
| 614 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 615 | |
---|
| 616 | ! ! =============== |
---|
| 617 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 618 | ! ! =============== |
---|
| 619 | DO jj = 1, jpj |
---|
| 620 | DO ji = 1, jpi |
---|
| 621 | zttl = ptem_tl(ji,jj,jk) |
---|
| 622 | ! ... density and potential volumic mass |
---|
| 623 | prd_tl (ji,jj,jk) = ( - ralpha * zttl ) * tmask(ji,jj,jk) |
---|
| 624 | prhop_tl(ji,jj,jk) = ( rau0 * prd_tl(ji,jj,jk) ) * tmask(ji,jj,jk) |
---|
| 625 | END DO |
---|
| 626 | END DO |
---|
| 627 | ! ! =============== |
---|
| 628 | END DO ! End of slab |
---|
| 629 | ! ! =============== |
---|
| 630 | |
---|
| 631 | |
---|
| 632 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 633 | |
---|
| 634 | ! ! =============== |
---|
| 635 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 636 | ! ! =============== |
---|
| 637 | DO jj = 1, jpj |
---|
| 638 | DO ji = 1, jpi |
---|
| 639 | zttl = ptem_tl(ji,jj,jk) |
---|
| 640 | zstl = psal_tl(ji,jj,jk) |
---|
| 641 | ! ... density and potential volumic mass |
---|
| 642 | prd_tl(ji,jj,jk) = ( rbeta * zstl - ralpha * zttl ) * tmask(ji,jj,jk) |
---|
| 643 | prhop_tl(ji,jj,jk) = ( rau0 * prd_tl(ji,jj,jk) ) * tmask(ji,jj,jk) |
---|
| 644 | END DO |
---|
| 645 | END DO |
---|
| 646 | ! ! =============== |
---|
| 647 | END DO ! End of slab |
---|
| 648 | ! ! =============== |
---|
| 649 | |
---|
| 650 | CASE DEFAULT |
---|
| 651 | |
---|
| 652 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 653 | CALL ctl_stop( ctmp1 ) |
---|
| 654 | |
---|
| 655 | END SELECT |
---|
| 656 | |
---|
| 657 | END SUBROUTINE eos_insitu_pot_tan |
---|
| 658 | SUBROUTINE eos_insitu_2d_tan( ptem, psal, pdep, ptem_tl, psal_tl, prd_tl ) |
---|
| 659 | !!----------------------------------------------------------------------- |
---|
| 660 | !! |
---|
| 661 | !! *** ROUTINE eos_insitu_2d_tan : TL OF ROUTINE eos_insitu_2d *** |
---|
| 662 | !! |
---|
| 663 | !! ** Purpose of direct routine : Compute the in situ density |
---|
| 664 | !! (ratio rho/rau0) from potential temperature and salinity |
---|
| 665 | !! using an equation of state defined through the namelist |
---|
| 666 | !! parameter neos. * 2D field case |
---|
| 667 | !! |
---|
| 668 | !! ** Method of direct routine : 3 cases: |
---|
| 669 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 670 | !! the in situ density is computed directly as a function of |
---|
| 671 | !! potential temperature relative to the surface (the opa t |
---|
| 672 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 673 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 674 | !! is approximated by the depth in meters. |
---|
| 675 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 676 | !! with pressure p decibars |
---|
| 677 | !! potential temperature t deg celsius |
---|
| 678 | !! salinity s psu |
---|
| 679 | !! reference volumic mass rau0 kg/m**3 |
---|
| 680 | !! in situ volumic mass rho kg/m**3 |
---|
| 681 | !! in situ density anomalie prd no units |
---|
| 682 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 683 | !! t = 40 deg celcius, s=40 psu |
---|
| 684 | !! neos = 1 : linear equation of state function of temperature only |
---|
| 685 | !! prd(t) = 0.0285 - ralpha * t |
---|
| 686 | !! neos = 2 : linear equation of state function of temperature and |
---|
| 687 | !! salinity |
---|
| 688 | !! prd(t,s) = rbeta * s - ralpha * tn - 1. |
---|
| 689 | !! Note that no boundary condition problem occurs in this routine |
---|
| 690 | !! as (ptem,psal) are defined over the whole domain. |
---|
| 691 | !! |
---|
| 692 | !! ** Comments on Adjoint Routine : |
---|
| 693 | !! Care has been taken to avoid division by zero when computing |
---|
| 694 | !! the inverse of the square root of salinity at masked salinity |
---|
| 695 | !! points. |
---|
| 696 | !! |
---|
| 697 | !! ** Action : |
---|
| 698 | !! |
---|
| 699 | !! References : |
---|
| 700 | !! |
---|
| 701 | !! History : |
---|
| 702 | !! 8.2 ! 05-03 ((F. Van den Berghe, A. Weaver, N. Daget) - eostan.F |
---|
| 703 | !! 9.0 ! 07-07 (K. Mogensen) Initial version based on eostan.F |
---|
| 704 | !! ! 08-07 (A. Vidard) bug fix in computation of prd_tl if neos=1 |
---|
| 705 | !!----------------------------------------------------------------------- |
---|
| 706 | !! * Modules used |
---|
| 707 | !! * Arguments |
---|
| 708 | REAL(wp), DIMENSION(jpi,jpj), INTENT( in ) :: & |
---|
| 709 | & ptem, & ! potential temperature |
---|
| 710 | & psal, & ! salinity |
---|
| 711 | & pdep, & ! depth |
---|
| 712 | & ptem_tl, & ! TL of potential temperature |
---|
| 713 | & psal_tl ! TL of salinity |
---|
| 714 | REAL(wp), DIMENSION(jpi,jpj), INTENT( out ) :: & |
---|
| 715 | & prd_tl ! TL of potential density (surface referenced) |
---|
| 716 | |
---|
| 717 | !! * Local declarations |
---|
| 718 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 719 | REAL(wp) :: & ! temporary scalars |
---|
| 720 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 721 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 722 | zttl, zstl, zhtl, zsrtl, zr1tl, zr2tl, zr3tl, & |
---|
| 723 | zr4tl, zrhoptl, zetl, zbwtl, & |
---|
| 724 | zbtl, zdtl, zctl, zawtl, zatl, zb1tl, za1tl, & |
---|
| 725 | zkwtl, zk0tl, zpes, zrdc1, zrdc2, zeps, & |
---|
| 726 | zmask |
---|
| 727 | REAL(wp), DIMENSION(jpi,jpj) :: zws |
---|
| 728 | !!---------------------------------------------------------------------- |
---|
| 729 | |
---|
| 730 | |
---|
| 731 | ! initialization (in not already done) |
---|
| 732 | IF( neos_init == 0 ) CALL eos_init |
---|
| 733 | |
---|
| 734 | SELECT CASE ( neos ) |
---|
| 735 | |
---|
| 736 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 737 | |
---|
| 738 | #ifdef key_sp |
---|
| 739 | zeps = 1.e-7 |
---|
| 740 | #else |
---|
| 741 | zeps = 1.e-14 |
---|
| 742 | #endif |
---|
| 743 | |
---|
| 744 | !CDIR NOVERRCHK |
---|
| 745 | DO jj = 1, jpjm1 |
---|
| 746 | !CDIR NOVERRCHK |
---|
| 747 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 748 | zws(ji,jj) = SQRT( ABS( psal(ji,jj) ) ) |
---|
| 749 | END DO |
---|
| 750 | END DO |
---|
| 751 | |
---|
| 752 | ! ! =============== |
---|
| 753 | DO jj = 1, jpjm1 ! Horizontal slab |
---|
| 754 | ! ! =============== |
---|
| 755 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 756 | |
---|
| 757 | zmask = tmask(ji,jj,1) ! land/sea bottom mask = surf. mask |
---|
| 758 | |
---|
| 759 | zt = ptem (ji,jj) ! interpolated T |
---|
| 760 | zs = psal (ji,jj) ! interpolated S |
---|
| 761 | zsr= zws(ji,jj) ! square root of interpolated S |
---|
| 762 | zh = pdep(ji,jj) ! depth at the partial step level |
---|
| 763 | ! compute volumic mass pure water at atm pressure |
---|
| 764 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 765 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 766 | ! seawater volumic mass atm pressure |
---|
| 767 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 768 | -4.0899e-3 ) *zt+0.824493 |
---|
| 769 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 770 | zr4= 4.8314e-4 |
---|
| 771 | |
---|
| 772 | ! potential volumic mass (reference to the surface) |
---|
| 773 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
| 774 | |
---|
| 775 | ! add the compression terms |
---|
| 776 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
| 777 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
| 778 | zb = zbw + ze * zs |
---|
| 779 | |
---|
| 780 | zd = -2.042967e-2 |
---|
| 781 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
| 782 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
| 783 | za = ( zd*zsr + zc ) *zs + zaw |
---|
| 784 | |
---|
| 785 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
| 786 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
| 787 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
| 788 | zk0= ( zb1*zsr + za1 )*zs + zkw |
---|
| 789 | |
---|
| 790 | ! Tangent linear part |
---|
| 791 | |
---|
| 792 | zttl = ptem_tl(ji,jj) |
---|
| 793 | zstl = psal_tl(ji,jj) |
---|
| 794 | |
---|
| 795 | zsrtl= ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 796 | & * tmask(ji,jj,1) * zstl |
---|
| 797 | |
---|
| 798 | zr1tl= ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 799 | & -4.*1.120083e-6 ) * zt & |
---|
| 800 | & +3.*1.001685e-4 ) * zt & |
---|
| 801 | & -2.*9.095290e-3 ) * zt & |
---|
| 802 | & + 6.793952e-2 ) * zttl |
---|
| 803 | |
---|
| 804 | zr2tl= ( ( ( 4.*5.3875e-9 * zt & |
---|
| 805 | & -3.*8.2467e-7 ) * zt & |
---|
| 806 | & +2.*7.6438e-5 ) * zt & |
---|
| 807 | & - 4.0899e-3 ) * zttl |
---|
| 808 | |
---|
| 809 | zr3tl= ( -2.*1.6546e-6 * zt & |
---|
| 810 | & + 1.0227e-4 ) * zttl |
---|
| 811 | |
---|
| 812 | zrhoptl= zr1tl & |
---|
| 813 | & + zs * zr2tl & |
---|
| 814 | & + zsr * zs * zr3tl & |
---|
| 815 | & + zr3 * zs * zsrtl & |
---|
| 816 | & + ( 2. * zr4 * zs + zr2 & |
---|
| 817 | & + zr3 * zsr ) * zstl |
---|
| 818 | |
---|
| 819 | zetl = ( -2.*3.508914e-8 * zt & |
---|
| 820 | & - 1.248266e-8 ) * zttl |
---|
| 821 | |
---|
| 822 | zbwtl= ( 2.*1.296821e-6 * zt & |
---|
| 823 | & - 5.782165e-9 ) * zttl |
---|
| 824 | |
---|
| 825 | zbtl = zbwtl & |
---|
| 826 | & + zs * zetl & |
---|
| 827 | & + ze * zstl |
---|
| 828 | |
---|
| 829 | zctl = ( -2.*7.267926e-5 * zt & |
---|
| 830 | & + 2.598241e-3 ) * zttl |
---|
| 831 | |
---|
| 832 | zawtl= ( ( 3.*5.939910e-6 * zt & |
---|
| 833 | & +2.*2.512549e-3 ) * zt & |
---|
| 834 | & - 0.1028859 ) * zttl |
---|
| 835 | |
---|
| 836 | zatl = zawtl & |
---|
| 837 | & + zd * zs * zsrtl & |
---|
| 838 | & + zs * zctl & |
---|
| 839 | & + ( zd * zsr + zc ) * zstl |
---|
| 840 | |
---|
| 841 | zb1tl= ( -2.*0.1909078 * zt & |
---|
| 842 | & + 7.390729 ) * zttl |
---|
| 843 | |
---|
| 844 | za1tl= ( ( 3.*2.326469e-3 * zt & |
---|
| 845 | & +2.*1.553190 ) * zt & |
---|
| 846 | & - 65.00517 ) * zttl |
---|
| 847 | |
---|
| 848 | zkwtl= ( ( ( -4.*1.361629e-4 * zt & |
---|
| 849 | & -3.*1.852732e-2 ) * zt & |
---|
| 850 | & -2.*30.41638 ) * zt & |
---|
| 851 | & + 2098.925 ) * zttl |
---|
| 852 | |
---|
| 853 | zk0tl= zkwtl & |
---|
| 854 | & + zb1 * zs * zsrtl & |
---|
| 855 | & + zs * zsr * zb1tl & |
---|
| 856 | & + zs * za1tl & |
---|
| 857 | & + ( zb1 * zsr + za1 ) * zstl |
---|
| 858 | |
---|
| 859 | ! Masked in situ density anomaly |
---|
| 860 | |
---|
| 861 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 862 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 863 | |
---|
| 864 | prd_tl(ji,jj) = tmask(ji,jj,1) * zrdc2 * & |
---|
| 865 | & ( zrhoptl & |
---|
| 866 | & - zrdc2 * zh * zrdc1**2 * zrhop & |
---|
| 867 | & * ( zk0tl & |
---|
| 868 | & - zh * ( zatl & |
---|
| 869 | & - zh * zbtl ) ) )& |
---|
| 870 | & / rau0 |
---|
| 871 | |
---|
| 872 | |
---|
| 873 | END DO |
---|
| 874 | ! ! =============== |
---|
| 875 | END DO ! End of slab |
---|
| 876 | ! ! =============== |
---|
| 877 | |
---|
| 878 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 879 | |
---|
| 880 | ! ! =============== |
---|
| 881 | DO jj = 1, jpjm1 ! Horizontal slab |
---|
| 882 | ! ! =============== |
---|
| 883 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 884 | zttl = ptem_tl(ji,jj) |
---|
| 885 | ! ... density and potential volumic mass |
---|
| 886 | prd_tl(ji,jj) = ( - ralpha * zttl ) * tmask(ji,jj,1) |
---|
| 887 | |
---|
| 888 | END DO |
---|
| 889 | ! ! =============== |
---|
| 890 | END DO ! End of slab |
---|
| 891 | ! ! =============== |
---|
| 892 | |
---|
| 893 | |
---|
| 894 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 895 | |
---|
| 896 | ! ! =============== |
---|
| 897 | DO jj = 1, jpjm1 ! Horizontal slab |
---|
| 898 | ! ! =============== |
---|
| 899 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 900 | zttl = ptem_tl(ji,jj) |
---|
| 901 | zstl = psal_tl(ji,jj) |
---|
| 902 | prd_tl (ji,jj) = ( rbeta * zstl - ralpha * zttl ) * tmask(ji,jj,1) |
---|
| 903 | END DO |
---|
| 904 | ! ! =============== |
---|
| 905 | END DO ! End of slab |
---|
| 906 | ! ! =============== |
---|
| 907 | |
---|
| 908 | CASE DEFAULT |
---|
| 909 | |
---|
| 910 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 911 | CALL ctl_stop( ctmp1 ) |
---|
| 912 | |
---|
| 913 | END SELECT |
---|
| 914 | |
---|
| 915 | |
---|
| 916 | END SUBROUTINE eos_insitu_2d_tan |
---|
| 917 | |
---|
| 918 | SUBROUTINE eos_insitu_adj(ptem, psal, ptem_ad, psal_ad, prd_ad) |
---|
| 919 | !!----------------------------------------------------------------------- |
---|
| 920 | !! |
---|
| 921 | !! *** ROUTINE eos_insitu_tan : Adjoint OF ROUTINE eos_insitu *** |
---|
| 922 | !! |
---|
| 923 | !! ** Purpose of direct routine : Compute the in situ density |
---|
| 924 | !! (ratio rho/rau0) from potential temperature and salinity |
---|
| 925 | !! using an equation of state defined through the namelist |
---|
| 926 | !! parameter neos. |
---|
| 927 | !! |
---|
| 928 | !! ** Method of direct routine : 3 cases: |
---|
| 929 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 930 | !! the in situ density is computed directly as a function of |
---|
| 931 | !! potential temperature relative to the surface (the opa t |
---|
| 932 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 933 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 934 | !! is approximated by the depth in meters. |
---|
| 935 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 936 | !! with pressure p decibars |
---|
| 937 | !! potential temperature t deg celsius |
---|
| 938 | !! salinity s psu |
---|
| 939 | !! reference volumic mass rau0 kg/m**3 |
---|
| 940 | !! in situ volumic mass rho kg/m**3 |
---|
| 941 | !! in situ density anomalie prd no units |
---|
| 942 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 943 | !! t = 40 deg celcius, s=40 psu |
---|
| 944 | !! neos = 1 : linear equation of state function of temperature only |
---|
| 945 | !! prd(t) = 0.0285 - ralpha * t |
---|
| 946 | !! neos = 2 : linear equation of state function of temperature and |
---|
| 947 | !! salinity |
---|
| 948 | !! prd(t,s) = rbeta * s - ralpha * tn - 1. |
---|
| 949 | !! Note that no boundary condition problem occurs in this routine |
---|
| 950 | !! as (ptem,psal) are defined over the whole domain. |
---|
| 951 | !! |
---|
| 952 | !! ** Comments on Adjoint Routine : |
---|
| 953 | !! Care has been taken to avoid division by zero when computing |
---|
| 954 | !! the inverse of the square root of salinity at masked salinity |
---|
| 955 | !! points. |
---|
| 956 | !! |
---|
| 957 | !! ** Action : |
---|
| 958 | !! |
---|
| 959 | !! References : |
---|
| 960 | !! |
---|
| 961 | !! History : |
---|
| 962 | !! 8.2 ! 05-03 ((F. Van den Berghe, A. Weaver, N. Daget) - eostan.F |
---|
| 963 | !! 9.0 ! 08-08 (A. Vidard) 9.0 version |
---|
| 964 | !!----------------------------------------------------------------------- |
---|
| 965 | !! * Modules used |
---|
| 966 | !! * Arguments |
---|
| 967 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 968 | ptem, & ! potential temperature |
---|
| 969 | psal ! salinity |
---|
| 970 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 971 | ptem_ad, & ! potential temperature |
---|
| 972 | psal_ad ! salinity |
---|
| 973 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 974 | prd_ad ! potential density (surface referenced) |
---|
| 975 | !! * Local declarations |
---|
| 976 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 977 | REAL(wp) :: & ! temporary scalars |
---|
| 978 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 979 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 980 | ztad, zsad, zhad, zsrad, zr1ad, zr2ad, zr3ad, & |
---|
| 981 | zr4ad, zrhopad, zead, zbwad, & |
---|
| 982 | zbad, zdad, zcad, zawad, zaad, zb1ad, za1ad, & |
---|
| 983 | zkwad, zk0ad, zpes, zrdc1, zrdc2, zeps, & |
---|
| 984 | zmask |
---|
| 985 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
---|
| 986 | !!---------------------------------------------------------------------- |
---|
| 987 | |
---|
| 988 | |
---|
| 989 | ! initialization (in not already done) |
---|
| 990 | IF( neos_init == 0 ) CALL eos_init |
---|
| 991 | ! initialization of adjoint variables |
---|
| 992 | ztad = 0.0_wp |
---|
| 993 | zsad = 0.0_wp |
---|
| 994 | zhad = 0.0_wp |
---|
| 995 | zsrad = 0.0_wp |
---|
| 996 | zr1ad = 0.0_wp |
---|
| 997 | zr2ad = 0.0_wp |
---|
| 998 | zr3ad = 0.0_wp |
---|
| 999 | zr4ad = 0.0_wp |
---|
| 1000 | zrhopad = 0.0_wp |
---|
| 1001 | zead = 0.0_wp |
---|
| 1002 | zbwad = 0.0_wp |
---|
| 1003 | zbad = 0.0_wp |
---|
| 1004 | zdad = 0.0_wp |
---|
| 1005 | zcad = 0.0_wp |
---|
| 1006 | zawad = 0.0_wp |
---|
| 1007 | zaad = 0.0_wp |
---|
| 1008 | zb1ad = 0.0_wp |
---|
| 1009 | za1ad = 0.0_wp |
---|
| 1010 | zkwad = 0.0_wp |
---|
| 1011 | zk0ad = 0.0_wp |
---|
| 1012 | |
---|
| 1013 | SELECT CASE ( neos ) |
---|
| 1014 | |
---|
| 1015 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 1016 | |
---|
| 1017 | #ifdef key_sp |
---|
| 1018 | zeps = 1.e-7 |
---|
| 1019 | #else |
---|
| 1020 | zeps = 1.e-14 |
---|
| 1021 | #endif |
---|
| 1022 | |
---|
| 1023 | !CDIR NOVERRCHK |
---|
| 1024 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
---|
| 1025 | |
---|
| 1026 | ! ! =============== |
---|
| 1027 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 1028 | ! ! =============== |
---|
| 1029 | DO jj = 1, jpj |
---|
| 1030 | DO ji = 1, jpi |
---|
| 1031 | zt = ptem(ji,jj,jk) |
---|
| 1032 | zs = psal(ji,jj,jk) |
---|
| 1033 | ! depth |
---|
| 1034 | zh = fsdept(ji,jj,jk) |
---|
| 1035 | ! square root salinity |
---|
| 1036 | zsr= zws(ji,jj,jk) |
---|
| 1037 | ! compute volumic mass pure water at atm pressure |
---|
| 1038 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 1039 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 1040 | ! seawater volumic mass atm pressure |
---|
| 1041 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 1042 | -4.0899e-3 ) *zt+0.824493 |
---|
| 1043 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 1044 | zr4= 4.8314e-4 |
---|
| 1045 | |
---|
| 1046 | ! potential volumic mass (reference to the surface) |
---|
| 1047 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
| 1048 | |
---|
| 1049 | ! add the compression terms |
---|
| 1050 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
| 1051 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
| 1052 | zb = zbw + ze * zs |
---|
| 1053 | |
---|
| 1054 | zd = -2.042967e-2 |
---|
| 1055 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
| 1056 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
| 1057 | za = ( zd*zsr + zc ) *zs + zaw |
---|
| 1058 | |
---|
| 1059 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
| 1060 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
| 1061 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
| 1062 | zk0= ( zb1*zsr + za1 )*zs + zkw |
---|
| 1063 | |
---|
| 1064 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 1065 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 1066 | ! ============ |
---|
| 1067 | ! Adjoint part |
---|
| 1068 | ! ============ |
---|
| 1069 | |
---|
| 1070 | ! Masked in situ density anomaly |
---|
| 1071 | |
---|
| 1072 | zrhopad = zrhopad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1073 | & * zrdc2 / rau0 |
---|
| 1074 | zk0ad = zk0ad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1075 | & * zrdc2 * zrdc2 * zh & |
---|
| 1076 | & * zrdc1**2 * zrhop & |
---|
| 1077 | & / rau0 |
---|
| 1078 | zaad = zaad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1079 | & * zrdc2 * zrdc2 * zh & |
---|
| 1080 | & * zrdc1**2 * zrhop & |
---|
| 1081 | & * zh / rau0 |
---|
| 1082 | zbad = zbad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1083 | & * zrdc2 * zrdc2 * zh & |
---|
| 1084 | & * zrdc1**2 * zrhop & |
---|
| 1085 | & * zh * zh / rau0 |
---|
| 1086 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1087 | |
---|
| 1088 | zkwad = zkwad + zk0ad |
---|
| 1089 | zsrad = zsrad + zk0ad * zb1 * zs |
---|
| 1090 | zb1ad = zb1ad + zk0ad * zs * zsr |
---|
| 1091 | za1ad = za1ad + zk0ad * zs |
---|
| 1092 | zsad = zsad + zk0ad * ( zb1 * zsr + za1 ) |
---|
| 1093 | zk0ad = 0.0_wp |
---|
| 1094 | |
---|
| 1095 | ztad = ztad + zkwad * ( ( (-4.*1.361629e-4 * zt & |
---|
| 1096 | & -3.*1.852732e-2 ) * zt & |
---|
| 1097 | & -2.*30.41638 ) * zt & |
---|
| 1098 | & + 2098.925 ) |
---|
| 1099 | zkwad = 0.0_wp |
---|
| 1100 | |
---|
| 1101 | ztad = ztad + za1ad * ( ( 3.*2.326469e-3 * zt & |
---|
| 1102 | & +2.*1.553190 ) * zt & |
---|
| 1103 | & - 65.00517 ) |
---|
| 1104 | za1ad = 0.0_wp |
---|
| 1105 | |
---|
| 1106 | ztad = ztad + zb1ad * (-2.*0.1909078 * zt & |
---|
| 1107 | & + 7.390729 ) |
---|
| 1108 | zb1ad = 0.0_wp |
---|
| 1109 | |
---|
| 1110 | zawad = zawad + zaad |
---|
| 1111 | zsrad = zsrad + zaad * zd * zs |
---|
| 1112 | zcad = zcad + zaad * zs |
---|
| 1113 | zsad = zsad + zaad * ( zd * zsr + zc ) |
---|
| 1114 | zaad = 0.0_wp |
---|
| 1115 | |
---|
| 1116 | ztad = ztad + zawad * ( ( 3.*5.939910e-6 * zt & |
---|
| 1117 | & +2.*2.512549e-3 ) * zt & |
---|
| 1118 | & - 0.1028859 ) |
---|
| 1119 | zawad = 0.0_wp |
---|
| 1120 | |
---|
| 1121 | ztad = ztad + zcad * (-2.*7.267926e-5 * zt & |
---|
| 1122 | & + 2.598241e-3 ) |
---|
| 1123 | zcad = 0.0_wp |
---|
| 1124 | |
---|
| 1125 | zbwad = zbwad + zbad |
---|
| 1126 | zead = zead + zbad * zs |
---|
| 1127 | zsad = zsad + zbad * ze |
---|
| 1128 | zbad = 0.0_wp |
---|
| 1129 | |
---|
| 1130 | ztad = ztad + zbwad * ( 2.*1.296821e-6 * zt & |
---|
| 1131 | & - 5.782165e-9 ) |
---|
| 1132 | zbwad = 0.0_wp |
---|
| 1133 | |
---|
| 1134 | ztad = ztad + zead * (-2.*3.508914e-8 * zt & |
---|
| 1135 | & - 1.248266e-8 ) |
---|
| 1136 | zead = 0.0_wp |
---|
| 1137 | |
---|
| 1138 | zr1ad = zr1ad + zrhopad |
---|
| 1139 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1140 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1141 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1142 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1143 | & + zr3 * zsr ) |
---|
| 1144 | zrhopad = 0.0_wp |
---|
| 1145 | |
---|
| 1146 | ztad = ztad + zr3ad * (-2.*1.6546e-6 * zt & |
---|
| 1147 | & + 1.0227e-4 ) |
---|
| 1148 | zr3ad = 0.0_wp |
---|
| 1149 | |
---|
| 1150 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1151 | & -3.*8.2467e-7 ) * zt & |
---|
| 1152 | & +2.*7.6438e-5 ) * zt & |
---|
| 1153 | & - 4.0899e-3 ) |
---|
| 1154 | zr2ad = 0.0_wp |
---|
| 1155 | |
---|
| 1156 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1157 | & -4.*1.120083e-6 ) * zt & |
---|
| 1158 | & +3.*1.001685e-4 ) * zt & |
---|
| 1159 | & -2.*9.095290e-3 ) * zt & |
---|
| 1160 | & + 6.793952e-2 ) |
---|
| 1161 | zr1ad = 0.0_wp |
---|
| 1162 | |
---|
| 1163 | zsad = zsad + zsrad * ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 1164 | & * tmask(ji,jj,jk) |
---|
| 1165 | zsrad = 0.0_wp |
---|
| 1166 | |
---|
| 1167 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + zsad |
---|
| 1168 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + ztad |
---|
| 1169 | ztad = 0.0_wp |
---|
| 1170 | zsad = 0.0_wp |
---|
| 1171 | END DO |
---|
| 1172 | |
---|
| 1173 | END DO |
---|
| 1174 | ! ! =============== |
---|
| 1175 | END DO ! End of slab |
---|
| 1176 | ! ! =============== |
---|
| 1177 | |
---|
| 1178 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 1179 | |
---|
| 1180 | ! ! =============== |
---|
| 1181 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 1182 | ! ! =============== |
---|
| 1183 | DO jj = 1, jpj |
---|
| 1184 | DO ji = 1, jpi |
---|
| 1185 | ! ... density and potential volumic mass |
---|
| 1186 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) - ralpha * prd_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1187 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1188 | END DO |
---|
| 1189 | END DO |
---|
| 1190 | ! ! =============== |
---|
| 1191 | END DO ! End of slab |
---|
| 1192 | ! ! =============== |
---|
| 1193 | |
---|
| 1194 | |
---|
| 1195 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 1196 | |
---|
| 1197 | ! ! =============== |
---|
| 1198 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 1199 | ! ! =============== |
---|
| 1200 | DO jj = 1, jpj |
---|
| 1201 | DO ji = 1, jpi |
---|
| 1202 | ! ... density and potential volumic mass |
---|
| 1203 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) - ralpha * prd_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1204 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + rbeta * prd_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1205 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1206 | END DO |
---|
| 1207 | END DO |
---|
| 1208 | ! ! =============== |
---|
| 1209 | END DO ! End of slab |
---|
| 1210 | ! ! =============== |
---|
| 1211 | |
---|
| 1212 | CASE DEFAULT |
---|
| 1213 | |
---|
| 1214 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 1215 | CALL ctl_stop( ctmp1 ) |
---|
| 1216 | |
---|
| 1217 | END SELECT |
---|
| 1218 | END SUBROUTINE eos_insitu_adj |
---|
| 1219 | SUBROUTINE eos_insitu_pot_adj ( ptem, psal, ptem_ad, psal_ad, prd_ad, prhop_ad ) |
---|
| 1220 | !!---------------------------------------------------------------------- |
---|
| 1221 | !! *** ROUTINE eos_insitu_pot_adj *** |
---|
| 1222 | !! |
---|
| 1223 | !! ** Purpose or the direct routine: |
---|
| 1224 | !! Compute the in situ density (ratio rho/rau0) and the |
---|
| 1225 | !! potential volumic mass (Kg/m3) from potential temperature and |
---|
| 1226 | !! salinity fields using an equation of state defined through the |
---|
| 1227 | !! namelist parameter neos. |
---|
| 1228 | !! |
---|
| 1229 | !! ** Method : |
---|
| 1230 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 1231 | !! the in situ density is computed directly as a function of |
---|
| 1232 | !! potential temperature relative to the surface (the opa t |
---|
| 1233 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 1234 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 1235 | !! is approximated by the depth in meters. |
---|
| 1236 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 1237 | !! rhop(t,s) = rho(t,s,0) |
---|
| 1238 | !! with pressure p decibars |
---|
| 1239 | !! potential temperature t deg celsius |
---|
| 1240 | !! salinity s psu |
---|
| 1241 | !! reference volumic mass rau0 kg/m**3 |
---|
| 1242 | !! in situ volumic mass rho kg/m**3 |
---|
| 1243 | !! in situ density anomalie prd no units |
---|
| 1244 | !! |
---|
| 1245 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 1246 | !! t = 40 deg celcius, s=40 psu |
---|
| 1247 | !! |
---|
| 1248 | !! neos = 1 : linear equation of state function of temperature only |
---|
| 1249 | !! prd(t) = ( rho(t) - rau0 ) / rau0 = 0.028 - ralpha * t |
---|
| 1250 | !! rhop(t,s) = rho(t,s) |
---|
| 1251 | !! |
---|
| 1252 | !! neos = 2 : linear equation of state function of temperature and |
---|
| 1253 | !! salinity |
---|
| 1254 | !! prd(t,s) = ( rho(t,s) - rau0 ) / rau0 |
---|
| 1255 | !! = rbeta * s - ralpha * tn - 1. |
---|
| 1256 | !! rhop(t,s) = rho(t,s) |
---|
| 1257 | !! Note that no boundary condition problem occurs in this routine |
---|
| 1258 | !! as (tn,sn) or (ta,sa) are defined over the whole domain. |
---|
| 1259 | !! |
---|
| 1260 | !! ** Action : - prd , the in situ density (no units) |
---|
| 1261 | !! - prhop, the potential volumic mass (Kg/m3) |
---|
| 1262 | !! |
---|
| 1263 | !! References : |
---|
| 1264 | !! Jackett, D.R., and T.J. McDougall. J. Atmos. Ocean. Tech., 1994 |
---|
| 1265 | !! Brown, J. A. and K. A. Campana. Mon. Weather Rev., 1978 |
---|
| 1266 | !! |
---|
| 1267 | !! History of the adjoint routine: |
---|
| 1268 | !! 9.0 ! 08-06 (A. Vidard) Initial version |
---|
| 1269 | !!---------------------------------------------------------------------- |
---|
| 1270 | !! * Arguments |
---|
| 1271 | |
---|
| 1272 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1273 | ptem, & ! potential temperature |
---|
| 1274 | psal ! salinity |
---|
| 1275 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 1276 | ptem_ad, & ! potential temperature |
---|
| 1277 | psal_ad ! salinity |
---|
| 1278 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 1279 | prd_ad, & ! potential density (surface referenced) |
---|
| 1280 | prhop_ad |
---|
| 1281 | !! * Local declarations |
---|
| 1282 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1283 | REAL(wp) :: & ! temporary scalars |
---|
| 1284 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 1285 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 1286 | ztad, zsad, zhad, zsrad, zr1ad, zr2ad, zr3ad, & |
---|
| 1287 | zr4ad, zrhopad, zead, zbwad, & |
---|
| 1288 | zbad, zdad, zcad, zawad, zaad, zb1ad, za1ad, & |
---|
| 1289 | zkwad, zk0ad, zpes, zrdc1, zrdc2, zeps, & |
---|
| 1290 | zmask |
---|
| 1291 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zws |
---|
| 1292 | !!---------------------------------------------------------------------- |
---|
| 1293 | ! initialization (in not already done) |
---|
| 1294 | IF( neos_init == 0 ) CALL eos_init |
---|
| 1295 | ! initialization of adjoint variables |
---|
| 1296 | ztad = 0.0_wp |
---|
| 1297 | zsad = 0.0_wp |
---|
| 1298 | zhad = 0.0_wp |
---|
| 1299 | zsrad = 0.0_wp |
---|
| 1300 | zr1ad = 0.0_wp |
---|
| 1301 | zr2ad = 0.0_wp |
---|
| 1302 | zr3ad = 0.0_wp |
---|
| 1303 | zr4ad = 0.0_wp |
---|
| 1304 | zrhopad = 0.0_wp |
---|
| 1305 | zead = 0.0_wp |
---|
| 1306 | zbwad = 0.0_wp |
---|
| 1307 | zbad = 0.0_wp |
---|
| 1308 | zdad = 0.0_wp |
---|
| 1309 | zcad = 0.0_wp |
---|
| 1310 | zawad = 0.0_wp |
---|
| 1311 | zaad = 0.0_wp |
---|
| 1312 | zb1ad = 0.0_wp |
---|
| 1313 | za1ad = 0.0_wp |
---|
| 1314 | zkwad = 0.0_wp |
---|
| 1315 | zk0ad = 0.0_wp |
---|
| 1316 | |
---|
| 1317 | SELECT CASE ( neos ) |
---|
| 1318 | |
---|
| 1319 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 1320 | |
---|
| 1321 | #ifdef key_sp |
---|
| 1322 | zeps = 1.e-7 |
---|
| 1323 | #else |
---|
| 1324 | zeps = 1.e-14 |
---|
| 1325 | #endif |
---|
| 1326 | |
---|
| 1327 | !CDIR NOVERRCHK |
---|
| 1328 | zws(:,:,:) = SQRT( ABS( psal(:,:,:) ) ) |
---|
| 1329 | ! ! =============== |
---|
| 1330 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
---|
| 1331 | ! ! =============== |
---|
| 1332 | DO jj = jpj, 1, -1 |
---|
| 1333 | DO ji = jpi, 1, -1 |
---|
| 1334 | ! direct recomputing |
---|
| 1335 | zt = ptem(ji,jj,jk) |
---|
| 1336 | zs = psal(ji,jj,jk) |
---|
| 1337 | ! depth |
---|
| 1338 | zh = fsdept(ji,jj,jk) |
---|
| 1339 | ! square root salinity |
---|
| 1340 | zsr = zws(ji,jj,jk) |
---|
| 1341 | ! compute volumic mass pure water at atm pressure |
---|
| 1342 | zr1 = ( ( ( ( 6.536332e-9 * zt - 1.120083e-6 ) * zt & |
---|
| 1343 | & + 1.001685e-4 ) * zt - 9.095290e-3 ) * zt & |
---|
| 1344 | & + 6.793952e-2 ) * zt + 999.842594 |
---|
| 1345 | ! seawater volumic mass atm pressure |
---|
| 1346 | zr2 = ( ( ( 5.3875e-9 * zt - 8.2467e-7 ) * zt & |
---|
| 1347 | & + 7.6438e-5 ) * zt - 4.0899e-3 ) * zt + 0.824493 |
---|
| 1348 | zr3 = ( -1.6546e-6 * zt + 1.0227e-4 ) * zt - 5.72466e-3 |
---|
| 1349 | zr4 = 4.8314e-4 |
---|
| 1350 | ! potential volumic mass (reference to the surface) |
---|
| 1351 | zrhop = ( zr4 * zs + zr3*zsr + zr2 ) * zs + zr1 |
---|
| 1352 | ! add the compression terms |
---|
| 1353 | ze = ( -3.508914e-8 * zt - 1.248266e-8 ) * zt - 2.595994e-6 |
---|
| 1354 | zbw = ( 1.296821e-6 * zt - 5.782165e-9 ) * zt + 1.045941e-4 |
---|
| 1355 | zb = zbw + ze * zs |
---|
| 1356 | |
---|
| 1357 | zd = -2.042967e-2 |
---|
| 1358 | zc = (-7.267926e-5 * zt + 2.598241e-3 ) * zt + 0.1571896 |
---|
| 1359 | zaw= ( ( 5.939910e-6 * zt + 2.512549e-3 ) * zt - 0.1028859 & |
---|
| 1360 | & ) * zt - 4.721788 |
---|
| 1361 | za = ( zd * zsr + zc ) * zs + zaw |
---|
| 1362 | |
---|
| 1363 | zb1= (-0.1909078 * zt + 7.390729 ) * zt - 55.87545 |
---|
| 1364 | za1= ( ( 2.326469e-3 * zt + 1.553190 ) * zt - 65.00517 & |
---|
| 1365 | & ) * zt + 1044.077 |
---|
| 1366 | zkw= ( ( (-1.361629e-4 * zt - 1.852732e-2 ) * zt - 30.41638 & |
---|
| 1367 | & ) * zt + 2098.925 ) * zt + 190925.6 |
---|
| 1368 | zk0= ( zb1 * zsr + za1 ) * zs + zkw |
---|
| 1369 | |
---|
| 1370 | |
---|
| 1371 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 1372 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 1373 | |
---|
| 1374 | ! ============ |
---|
| 1375 | ! Adjoint part |
---|
| 1376 | ! ============ |
---|
| 1377 | |
---|
| 1378 | ! Masked in situ density anomaly |
---|
| 1379 | |
---|
| 1380 | zrhopad = zrhopad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1381 | & * zrdc2 / rau0 |
---|
| 1382 | zk0ad = zk0ad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1383 | & * zrdc2 * zrdc2 * zh & |
---|
| 1384 | & * zrdc1**2 * zrhop & |
---|
| 1385 | & / rau0 |
---|
| 1386 | zaad = zaad + prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1387 | & * zrdc2 * zrdc2 * zh & |
---|
| 1388 | & * zrdc1**2 * zrhop & |
---|
| 1389 | & * zh / rau0 |
---|
| 1390 | zbad = zbad - prd_ad(ji,jj,jk) * tmask(ji,jj,jk) & |
---|
| 1391 | & * zrdc2 * zrdc2 * zh & |
---|
| 1392 | & * zrdc1**2 * zrhop & |
---|
| 1393 | & * zh * zh / rau0 |
---|
| 1394 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1395 | |
---|
| 1396 | zkwad = zkwad + zk0ad |
---|
| 1397 | zsrad = zsrad + zk0ad * zb1 * zs |
---|
| 1398 | zb1ad = zb1ad + zk0ad * zs * zsr |
---|
| 1399 | za1ad = za1ad + zk0ad * zs |
---|
| 1400 | zsad = zsad + zk0ad * ( zb1 * zsr + za1 ) |
---|
| 1401 | zk0ad = 0.0_wp |
---|
| 1402 | |
---|
| 1403 | ztad = ztad + zkwad * ( ( (-4.*1.361629e-4 * zt & |
---|
| 1404 | & -3.*1.852732e-2 ) * zt & |
---|
| 1405 | & -2.*30.41638 ) * zt & |
---|
| 1406 | & + 2098.925 ) |
---|
| 1407 | zkwad = 0.0_wp |
---|
| 1408 | |
---|
| 1409 | ztad = ztad + za1ad * ( ( 3.*2.326469e-3 * zt & |
---|
| 1410 | & +2.*1.553190 ) * zt & |
---|
| 1411 | & - 65.00517 ) |
---|
| 1412 | za1ad = 0.0_wp |
---|
| 1413 | |
---|
| 1414 | ztad = ztad + zb1ad * (-2.*0.1909078 * zt & |
---|
| 1415 | & + 7.390729 ) |
---|
| 1416 | zb1ad = 0.0_wp |
---|
| 1417 | |
---|
| 1418 | zawad = zawad + zaad |
---|
| 1419 | zsrad = zsrad + zaad * zd * zs |
---|
| 1420 | zcad = zcad + zaad * zs |
---|
| 1421 | zsad = zsad + zaad * ( zd * zsr + zc ) |
---|
| 1422 | zaad = 0.0_wp |
---|
| 1423 | |
---|
| 1424 | ztad = ztad + zawad * ( ( 3.*5.939910e-6 * zt & |
---|
| 1425 | & +2.*2.512549e-3 ) * zt & |
---|
| 1426 | & - 0.1028859 ) |
---|
| 1427 | zawad = 0.0_wp |
---|
| 1428 | |
---|
| 1429 | ztad = ztad + zcad * (-2.*7.267926e-5 * zt & |
---|
| 1430 | & + 2.598241e-3 ) |
---|
| 1431 | zcad = 0.0_wp |
---|
| 1432 | |
---|
| 1433 | |
---|
| 1434 | zsad = zsad + zbad * ze |
---|
| 1435 | zead = zead + zbad * zs |
---|
| 1436 | zbwad = zbwad + zbad |
---|
| 1437 | zbad = 0.0_wp |
---|
| 1438 | |
---|
| 1439 | ztad = ztad + zbwad * ( 2.*1.296821e-6 * zt & |
---|
| 1440 | & - 5.782165e-9 ) |
---|
| 1441 | zbwad = 0.0_wp |
---|
| 1442 | |
---|
| 1443 | ztad = ztad + zead * (-2.*3.508914e-8 * zt & |
---|
| 1444 | & - 1.248266e-8 ) |
---|
| 1445 | zead = 0.0_wp |
---|
| 1446 | |
---|
| 1447 | zrhopad = zrhopad + prhop_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1448 | prhop_ad(ji,jj,jk) = 0.0_wp |
---|
| 1449 | |
---|
| 1450 | zr1ad = zr1ad + zrhopad |
---|
| 1451 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1452 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1453 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1454 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1455 | & + zr3 * zsr ) |
---|
| 1456 | zrhopad = 0.0_wp |
---|
| 1457 | |
---|
| 1458 | ztad = ztad + zr3ad * (-2.*1.6546e-6 * zt & |
---|
| 1459 | & + 1.0227e-4 ) |
---|
| 1460 | zr3ad = 0.0_wp |
---|
| 1461 | |
---|
| 1462 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1463 | & -3.*8.2467e-7 ) * zt & |
---|
| 1464 | & +2.*7.6438e-5 ) * zt & |
---|
| 1465 | & - 4.0899e-3 ) |
---|
| 1466 | zr2ad = 0.0_wp |
---|
| 1467 | |
---|
| 1468 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1469 | & -4.*1.120083e-6 ) * zt & |
---|
| 1470 | & +3.*1.001685e-4 ) * zt & |
---|
| 1471 | & -2.*9.095290e-3 ) * zt & |
---|
| 1472 | & + 6.793952e-2 ) |
---|
| 1473 | zr1ad = 0.0_wp |
---|
| 1474 | |
---|
| 1475 | zsad = zsad + zsrad * ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 1476 | & * tmask(ji,jj,jk) |
---|
| 1477 | zsrad = 0.0_wp |
---|
| 1478 | |
---|
| 1479 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + zsad |
---|
| 1480 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + ztad |
---|
| 1481 | ztad = 0.0_wp |
---|
| 1482 | zsad = 0.0_wp |
---|
| 1483 | |
---|
| 1484 | END DO |
---|
| 1485 | |
---|
| 1486 | END DO |
---|
| 1487 | ! ! =============== |
---|
| 1488 | END DO ! End of slab |
---|
| 1489 | ! ! =============== |
---|
| 1490 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 1491 | ! ! =============== |
---|
| 1492 | DO jk = jpkm1, 1, -1 ! Horizontal slab |
---|
| 1493 | ! ! =============== |
---|
| 1494 | DO jj = jpj, 1, -1 |
---|
| 1495 | DO ji = jpi, 1, -1 |
---|
| 1496 | prd_ad(ji,jj,jk) = prd_ad(ji,jj,jk) & |
---|
| 1497 | & + rau0 * prhop_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1498 | prhop_ad(ji,jj,jk) = 0.0_wp |
---|
| 1499 | |
---|
| 1500 | ztad = ztad - ralpha * prd_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1501 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1502 | |
---|
| 1503 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + ztad |
---|
| 1504 | ztad = 0.0_wp |
---|
| 1505 | END DO |
---|
| 1506 | END DO |
---|
| 1507 | ! ! =============== |
---|
| 1508 | END DO ! End of slab |
---|
| 1509 | ! ! =============== |
---|
| 1510 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 1511 | ! ! =============== |
---|
| 1512 | DO jk = 1, jpkm1 ! Horizontal slab |
---|
| 1513 | ! ! =============== |
---|
| 1514 | DO jj = 1, jpj |
---|
| 1515 | DO ji = 1, jpi |
---|
| 1516 | prd_ad(ji,jj,jk) = prd_ad(ji,jj,jk) & |
---|
| 1517 | & + rau0 * prhop_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1518 | prhop_ad(ji,jj,jk) = 0.0_wp |
---|
| 1519 | |
---|
| 1520 | |
---|
| 1521 | ztad = ztad - ralpha * prd_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1522 | zsad = zsad + rbeta * prd_ad(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1523 | prd_ad(ji,jj,jk) = 0.0_wp |
---|
| 1524 | |
---|
| 1525 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + ztad |
---|
| 1526 | ztad = 0.0_wp |
---|
| 1527 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + zsad |
---|
| 1528 | zsad = 0.0_wp |
---|
| 1529 | END DO |
---|
| 1530 | END DO |
---|
| 1531 | ! ! =============== |
---|
| 1532 | END DO ! End of slab |
---|
| 1533 | ! ! =============== |
---|
| 1534 | |
---|
| 1535 | CASE DEFAULT |
---|
| 1536 | |
---|
| 1537 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 1538 | CALL ctl_stop( ctmp1 ) |
---|
| 1539 | |
---|
| 1540 | END SELECT |
---|
| 1541 | |
---|
| 1542 | END SUBROUTINE eos_insitu_pot_adj |
---|
| 1543 | |
---|
| 1544 | SUBROUTINE eos_insitu_2d_adj( ptem, psal, pdep, ptem_ad, psal_ad, prd_ad ) |
---|
| 1545 | !!----------------------------------------------------------------------- |
---|
| 1546 | !! |
---|
| 1547 | !! *** ROUTINE eos_insitu_2d_adj : adj OF ROUTINE eos_insitu_2d *** |
---|
| 1548 | !! |
---|
| 1549 | !! ** Purpose of direct routine : Compute the in situ density |
---|
| 1550 | !! (ratio rho/rau0) from potential temperature and salinity |
---|
| 1551 | !! using an equation of state defined through the namelist |
---|
| 1552 | !! parameter neos. * 2D field case |
---|
| 1553 | !! |
---|
| 1554 | !! ** Method of direct routine : 3 cases: |
---|
| 1555 | !! neos = 0 : Jackett and McDougall (1994) equation of state. |
---|
| 1556 | !! the in situ density is computed directly as a function of |
---|
| 1557 | !! potential temperature relative to the surface (the opa t |
---|
| 1558 | !! variable), salt and pressure (assuming no pressure variation |
---|
| 1559 | !! along geopotential surfaces, i.e. the pressure p in decibars |
---|
| 1560 | !! is approximated by the depth in meters. |
---|
| 1561 | !! prd(t,s,p) = ( rho(t,s,p) - rau0 ) / rau0 |
---|
| 1562 | !! with pressure p decibars |
---|
| 1563 | !! potential temperature t deg celsius |
---|
| 1564 | !! salinity s psu |
---|
| 1565 | !! reference volumic mass rau0 kg/m**3 |
---|
| 1566 | !! in situ volumic mass rho kg/m**3 |
---|
| 1567 | !! in situ density anomalie prd no units |
---|
| 1568 | !! Check value: rho = 1060.93298 kg/m**3 for p=10000 dbar, |
---|
| 1569 | !! t = 40 deg celcius, s=40 psu |
---|
| 1570 | !! neos = 1 : linear equation of state function of temperature only |
---|
| 1571 | !! prd(t) = 0.0285 - ralpha * t |
---|
| 1572 | !! neos = 2 : linear equation of state function of temperature and |
---|
| 1573 | !! salinity |
---|
| 1574 | !! prd(t,s) = rbeta * s - ralpha * tn - 1. |
---|
| 1575 | !! Note that no boundary condition problem occurs in this routine |
---|
| 1576 | !! as (ptem,psal) are defined over the whole domain. |
---|
| 1577 | !! |
---|
| 1578 | !! ** Comments on Adjoint Routine : |
---|
| 1579 | !! Care has been taken to avoid division by zero when computing |
---|
| 1580 | !! the inverse of the square root of salinity at masked salinity |
---|
| 1581 | !! points. |
---|
| 1582 | !! |
---|
| 1583 | !! ** Action : |
---|
| 1584 | !! |
---|
| 1585 | !! References : |
---|
| 1586 | !! |
---|
| 1587 | !! History : |
---|
| 1588 | !! 8.2 ! 05-03 ((F. Van den Berghe, A. Weaver, N. Daget) - eosadj.F |
---|
| 1589 | !! 9.0 ! 08-07 (A. Vidard) first version based on eosadj |
---|
| 1590 | !!----------------------------------------------------------------------- |
---|
| 1591 | !! * Modules used |
---|
| 1592 | !! * Arguments |
---|
| 1593 | REAL(wp), DIMENSION(jpi,jpj), INTENT( in ) :: & |
---|
| 1594 | & ptem, & ! potential temperature |
---|
| 1595 | & psal, & ! salinity |
---|
| 1596 | & pdep ! depth |
---|
| 1597 | REAL(wp), DIMENSION(jpi,jpj), INTENT( inout ) :: & |
---|
| 1598 | & ptem_ad, & ! TL of potential temperature |
---|
| 1599 | & psal_ad ! TL of salinity |
---|
| 1600 | REAL(wp), DIMENSION(jpi,jpj), INTENT( inout ) :: & |
---|
| 1601 | & prd_ad ! TL of potential density (surface referenced) |
---|
| 1602 | INTEGER :: ji, jj ! dummy loop indices |
---|
| 1603 | REAL(wp) :: & ! temporary scalars |
---|
| 1604 | zt, zs, zh, zsr, zr1, zr2, zr3, zr4, zrhop, ze, zbw, & |
---|
| 1605 | zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, & |
---|
| 1606 | ztad, zsad, zhad, zsrad, zr1ad, zr2ad, zr3ad, & |
---|
| 1607 | zr4ad, zrhopad, zead, zbwad, & |
---|
| 1608 | zbad, zdad, zcad, zawad, zaad, zb1ad, za1ad, & |
---|
| 1609 | zkwad, zk0ad, zpes, zrdc1, zrdc2, zeps, & |
---|
| 1610 | zmask |
---|
| 1611 | REAL(wp), DIMENSION(jpi,jpj) :: zws |
---|
| 1612 | !!---------------------------------------------------------------------- |
---|
| 1613 | |
---|
| 1614 | |
---|
| 1615 | ! initialization (in not already done) |
---|
| 1616 | IF( neos_init == 0 ) CALL eos_init |
---|
| 1617 | ! initialization of adjoint variables |
---|
| 1618 | ztad = 0.0_wp |
---|
| 1619 | zsad = 0.0_wp |
---|
| 1620 | zhad = 0.0_wp |
---|
| 1621 | zsrad = 0.0_wp |
---|
| 1622 | zr1ad = 0.0_wp |
---|
| 1623 | zr2ad = 0.0_wp |
---|
| 1624 | zr3ad = 0.0_wp |
---|
| 1625 | zr4ad = 0.0_wp |
---|
| 1626 | zrhopad = 0.0_wp |
---|
| 1627 | zead = 0.0_wp |
---|
| 1628 | zbwad = 0.0_wp |
---|
| 1629 | zbad = 0.0_wp |
---|
| 1630 | zdad = 0.0_wp |
---|
| 1631 | zcad = 0.0_wp |
---|
| 1632 | zawad = 0.0_wp |
---|
| 1633 | zaad = 0.0_wp |
---|
| 1634 | zb1ad = 0.0_wp |
---|
| 1635 | za1ad = 0.0_wp |
---|
| 1636 | zkwad = 0.0_wp |
---|
| 1637 | zk0ad = 0.0_wp |
---|
| 1638 | |
---|
| 1639 | |
---|
| 1640 | SELECT CASE ( neos ) |
---|
| 1641 | |
---|
| 1642 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 1643 | |
---|
| 1644 | #ifdef key_sp |
---|
| 1645 | zeps = 1.e-7 |
---|
| 1646 | #else |
---|
| 1647 | zeps = 1.e-14 |
---|
| 1648 | #endif |
---|
| 1649 | |
---|
| 1650 | !CDIR NOVERRCHK |
---|
| 1651 | DO jj = 1, jpjm1 |
---|
| 1652 | !CDIR NOVERRCHK |
---|
| 1653 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1654 | zws(ji,jj) = SQRT( ABS( psal(ji,jj) ) ) |
---|
| 1655 | END DO |
---|
| 1656 | END DO |
---|
| 1657 | |
---|
| 1658 | ! ! =============== |
---|
| 1659 | DO jj = 1, jpjm1 ! Horizontal slab |
---|
| 1660 | ! ! =============== |
---|
| 1661 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1662 | |
---|
| 1663 | zmask = tmask(ji,jj,1) ! land/sea bottom mask = surf. mask |
---|
| 1664 | |
---|
| 1665 | zt = ptem (ji,jj) ! interpolated T |
---|
| 1666 | zs = psal (ji,jj) ! interpolated S |
---|
| 1667 | zsr= zws(ji,jj) ! square root of interpolated S |
---|
| 1668 | zh = pdep(ji,jj) ! depth at the partial step level |
---|
| 1669 | ! compute volumic mass pure water at atm pressure |
---|
| 1670 | zr1= ( ( ( ( 6.536332e-9*zt-1.120083e-6 )*zt+1.001685e-4)*zt & |
---|
| 1671 | -9.095290e-3 )*zt+6.793952e-2 )*zt+999.842594 |
---|
| 1672 | ! seawater volumic mass atm pressure |
---|
| 1673 | zr2= ( ( ( 5.3875e-9*zt-8.2467e-7 ) *zt+7.6438e-5 ) *zt & |
---|
| 1674 | -4.0899e-3 ) *zt+0.824493 |
---|
| 1675 | zr3= ( -1.6546e-6*zt+1.0227e-4 ) *zt-5.72466e-3 |
---|
| 1676 | zr4= 4.8314e-4 |
---|
| 1677 | |
---|
| 1678 | ! potential volumic mass (reference to the surface) |
---|
| 1679 | zrhop= ( zr4*zs + zr3*zsr + zr2 ) *zs + zr1 |
---|
| 1680 | |
---|
| 1681 | ! add the compression terms |
---|
| 1682 | ze = ( -3.508914e-8*zt-1.248266e-8 ) *zt-2.595994e-6 |
---|
| 1683 | zbw= ( 1.296821e-6*zt-5.782165e-9 ) *zt+1.045941e-4 |
---|
| 1684 | zb = zbw + ze * zs |
---|
| 1685 | |
---|
| 1686 | zd = -2.042967e-2 |
---|
| 1687 | zc = (-7.267926e-5*zt+2.598241e-3 ) *zt+0.1571896 |
---|
| 1688 | zaw= ( ( 5.939910e-6*zt+2.512549e-3 ) *zt-0.1028859 ) *zt - 4.721788 |
---|
| 1689 | za = ( zd*zsr + zc ) *zs + zaw |
---|
| 1690 | |
---|
| 1691 | zb1= (-0.1909078*zt+7.390729 ) *zt-55.87545 |
---|
| 1692 | za1= ( ( 2.326469e-3*zt+1.553190)*zt-65.00517 ) *zt+1044.077 |
---|
| 1693 | zkw= ( ( (-1.361629e-4*zt-1.852732e-2 ) *zt-30.41638 ) *zt + 2098.925 ) *zt+190925.6 |
---|
| 1694 | zk0= ( zb1*zsr + za1 )*zs + zkw |
---|
| 1695 | |
---|
| 1696 | zrdc1 = 1.0 / ( zk0 - zh * ( za - zh * zb ) ) |
---|
| 1697 | zrdc2 = 1.0 / ( 1.0 - zh * zrdc1 ) |
---|
| 1698 | ! ============ |
---|
| 1699 | ! Adjoint part |
---|
| 1700 | ! ============ |
---|
| 1701 | |
---|
| 1702 | ! Masked in situ density anomaly |
---|
| 1703 | |
---|
| 1704 | zrhopad = zrhopad + prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1705 | & * zrdc2 / rau0 |
---|
| 1706 | zk0ad = zk0ad - prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1707 | & * zrdc2 * zrdc2 * zh & |
---|
| 1708 | & * zrdc1**2 * zrhop & |
---|
| 1709 | & / rau0 |
---|
| 1710 | zaad = zaad + prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1711 | & * zrdc2 * zrdc2 * zh & |
---|
| 1712 | & * zrdc1**2 * zrhop & |
---|
| 1713 | & * zh / rau0 |
---|
| 1714 | zbad = zbad - prd_ad(ji,jj) * tmask(ji,jj,1) & |
---|
| 1715 | & * zrdc2 * zrdc2 * zh & |
---|
| 1716 | & * zrdc1**2 * zrhop & |
---|
| 1717 | & * zh * zh / rau0 |
---|
| 1718 | prd_ad(ji,jj) = 0.0_wp |
---|
| 1719 | |
---|
| 1720 | zkwad = zkwad + zk0ad |
---|
| 1721 | zsrad = zsrad + zk0ad * zb1 * zs |
---|
| 1722 | zb1ad = zb1ad + zk0ad * zs * zsr |
---|
| 1723 | za1ad = za1ad + zk0ad * zs |
---|
| 1724 | zsad = zsad + zk0ad * ( zb1 * zsr + za1 ) |
---|
| 1725 | zk0ad = 0.0_wp |
---|
| 1726 | |
---|
| 1727 | ztad = ztad + zkwad * ( ( (-4.*1.361629e-4 * zt & |
---|
| 1728 | & -3.*1.852732e-2 ) * zt & |
---|
| 1729 | & -2.*30.41638 ) * zt & |
---|
| 1730 | & + 2098.925 ) |
---|
| 1731 | zkwad = 0.0_wp |
---|
| 1732 | |
---|
| 1733 | ztad = ztad + za1ad * ( ( 3.*2.326469e-3 * zt & |
---|
| 1734 | & +2.*1.553190 ) * zt & |
---|
| 1735 | & - 65.00517 ) |
---|
| 1736 | za1ad = 0.0_wp |
---|
| 1737 | |
---|
| 1738 | ztad = ztad + zb1ad * (-2.*0.1909078 * zt & |
---|
| 1739 | & + 7.390729 ) |
---|
| 1740 | zb1ad = 0.0_wp |
---|
| 1741 | |
---|
| 1742 | zawad = zawad + zaad |
---|
| 1743 | zsrad = zsrad + zaad * zd * zs |
---|
| 1744 | zcad = zcad + zaad * zs |
---|
| 1745 | zsad = zsad + zaad * ( zd * zsr + zc ) |
---|
| 1746 | zaad = 0.0_wp |
---|
| 1747 | |
---|
| 1748 | ztad = ztad + zawad * ( ( 3.*5.939910e-6 * zt & |
---|
| 1749 | & +2.*2.512549e-3 ) * zt & |
---|
| 1750 | & - 0.1028859 ) |
---|
| 1751 | zawad = 0.0_wp |
---|
| 1752 | |
---|
| 1753 | ztad = ztad + zcad * (-2.*7.267926e-5 * zt & |
---|
| 1754 | & + 2.598241e-3 ) |
---|
| 1755 | zcad = 0.0_wp |
---|
| 1756 | |
---|
| 1757 | zbwad = zbwad + zbad |
---|
| 1758 | zead = zead + zbad * zs |
---|
| 1759 | zsad = zsad + zbad * ze |
---|
| 1760 | zbad = 0.0_wp |
---|
| 1761 | |
---|
| 1762 | ztad = ztad + zbwad * ( 2.*1.296821e-6 * zt & |
---|
| 1763 | & - 5.782165e-9 ) |
---|
| 1764 | zbwad = 0.0_wp |
---|
| 1765 | |
---|
| 1766 | ztad = ztad + zead * (-2.*3.508914e-8 * zt & |
---|
| 1767 | & - 1.248266e-8 ) |
---|
| 1768 | zead = 0.0_wp |
---|
| 1769 | |
---|
| 1770 | zr1ad = zr1ad + zrhopad |
---|
| 1771 | zr2ad = zr2ad + zrhopad * zs |
---|
| 1772 | zr3ad = zr3ad + zrhopad * zsr * zs |
---|
| 1773 | zsrad = zsrad + zrhopad * zr3 * zs |
---|
| 1774 | zsad = zsad + zrhopad * ( 2. * zr4 * zs + zr2 & |
---|
| 1775 | & + zr3 * zsr ) |
---|
| 1776 | zrhopad = 0.0_wp |
---|
| 1777 | |
---|
| 1778 | ztad = ztad + zr3ad * (-2.*1.6546e-6 * zt & |
---|
| 1779 | & + 1.0227e-4 ) |
---|
| 1780 | zr3ad = 0.0_wp |
---|
| 1781 | |
---|
| 1782 | ztad = ztad + zr2ad * ( ( ( 4.*5.3875e-9 * zt & |
---|
| 1783 | & -3.*8.2467e-7 ) * zt & |
---|
| 1784 | & +2.*7.6438e-5 ) * zt & |
---|
| 1785 | & - 4.0899e-3 ) |
---|
| 1786 | zr2ad = 0.0_wp |
---|
| 1787 | |
---|
| 1788 | ztad = ztad + zr1ad * ( ( ( ( 5.*6.536332e-9 * zt & |
---|
| 1789 | & -4.*1.120083e-6 ) * zt & |
---|
| 1790 | & +3.*1.001685e-4 ) * zt & |
---|
| 1791 | & -2.*9.095290e-3 ) * zt & |
---|
| 1792 | & + 6.793952e-2 ) |
---|
| 1793 | zr1ad = 0.0_wp |
---|
| 1794 | |
---|
| 1795 | zsad = zsad + zsrad * ( 1.0 / MAX( 2.*zsr, zeps ) ) & |
---|
| 1796 | & * tmask(ji,jj, 1) |
---|
| 1797 | zsrad = 0.0_wp |
---|
| 1798 | |
---|
| 1799 | psal_ad(ji,jj) = psal_ad(ji,jj) + zsad |
---|
| 1800 | ptem_ad(ji,jj) = ptem_ad(ji,jj) + ztad |
---|
| 1801 | ztad = 0.0_wp |
---|
| 1802 | zsad = 0.0_wp |
---|
| 1803 | END DO |
---|
| 1804 | ! ! =============== |
---|
| 1805 | END DO ! End of slab |
---|
| 1806 | ! ! =============== |
---|
| 1807 | |
---|
| 1808 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 1809 | |
---|
| 1810 | ! ! =============== |
---|
| 1811 | DO jj = 1, jpjm1 ! Horizontal slab |
---|
| 1812 | ! ! =============== |
---|
| 1813 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1814 | ! ... density and potential volumic mass |
---|
| 1815 | ptem_ad(ji,jj) = ptem_ad(ji,jj) - prd_ad(ji,jj) * ralpha * tmask(ji,jj,1) |
---|
| 1816 | prd_ad(ji,jj) = 0.0_wp |
---|
| 1817 | |
---|
| 1818 | END DO |
---|
| 1819 | ! ! =============== |
---|
| 1820 | END DO ! End of slab |
---|
| 1821 | ! ! =============== |
---|
| 1822 | |
---|
| 1823 | |
---|
| 1824 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 1825 | |
---|
| 1826 | ! ! =============== |
---|
| 1827 | DO jj = 1, jpjm1 ! Horizontal slab |
---|
| 1828 | ! ! =============== |
---|
| 1829 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 1830 | ptem_ad(ji,jj) = ptem_ad(ji,jj) - prd_ad(ji,jj) * ralpha * tmask(ji,jj,1) |
---|
| 1831 | psal_ad(ji,jj) = psal_ad(ji,jj) + prd_ad(ji,jj) * rbeta * tmask(ji,jj,1) |
---|
| 1832 | prd_ad (ji,jj) = 0.0_wp |
---|
| 1833 | END DO |
---|
| 1834 | ! ! =============== |
---|
| 1835 | END DO ! End of slab |
---|
| 1836 | ! ! =============== |
---|
| 1837 | |
---|
| 1838 | CASE DEFAULT |
---|
| 1839 | |
---|
| 1840 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 1841 | CALL ctl_stop( ctmp1 ) |
---|
| 1842 | |
---|
| 1843 | END SELECT |
---|
| 1844 | END SUBROUTINE eos_insitu_2d_adj |
---|
| 1845 | |
---|
| 1846 | |
---|
| 1847 | |
---|
| 1848 | SUBROUTINE eos_bn2_tan ( ptem, psal, ptem_tl, psal_tl, pn2_tl ) |
---|
| 1849 | !!---------------------------------------------------------------------- |
---|
| 1850 | !! *** ROUTINE eos_bn2_tan *** |
---|
| 1851 | !! |
---|
| 1852 | !! ** Purpose of the direct routine: Compute the local |
---|
| 1853 | !! Brunt-Vaisala frequency at the time-step of the input arguments |
---|
| 1854 | !! |
---|
| 1855 | !! ** Method of the direct routine: |
---|
| 1856 | !! * neos = 0 : UNESCO sea water properties |
---|
| 1857 | !! The brunt-vaisala frequency is computed using the polynomial |
---|
| 1858 | !! polynomial expression of McDougall (1987): |
---|
| 1859 | !! N^2 = grav * beta * ( alpha/beta*dk[ t ] - dk[ s ] )/e3w |
---|
| 1860 | !! If lk_zdfddm=T, the heat/salt buoyancy flux ratio Rrau is |
---|
| 1861 | !! computed and used in zdfddm module : |
---|
| 1862 | !! Rrau = alpha/beta * ( dk[ t ] / dk[ s ] ) |
---|
| 1863 | !! * neos = 1 : linear equation of state (temperature only) |
---|
| 1864 | !! N^2 = grav * ralpha * dk[ t ]/e3w |
---|
| 1865 | !! * neos = 2 : linear equation of state (temperature & salinity) |
---|
| 1866 | !! N^2 = grav * (ralpha * dk[ t ] - rbeta * dk[ s ] ) / e3w |
---|
| 1867 | !! The use of potential density to compute N^2 introduces e r r o r |
---|
| 1868 | !! in the sign of N^2 at great depths. We recommand the use of |
---|
| 1869 | !! neos = 0, except for academical studies. |
---|
| 1870 | !! Macro-tasked on horizontal slab (jk-loop) |
---|
| 1871 | !! N.B. N^2 is set to zero at the first level (JK=1) in inidtr |
---|
| 1872 | !! and is never used at this level. |
---|
| 1873 | !! |
---|
| 1874 | !! ** Action : - pn2 : the brunt-vaisala frequency |
---|
| 1875 | !! |
---|
| 1876 | !! References : |
---|
| 1877 | !! McDougall, T. J., J. Phys. Oceanogr., 17, 1950-1964, 1987. |
---|
| 1878 | !! |
---|
| 1879 | !! History: |
---|
| 1880 | !! ! 08-07 (A. Vidard) First version |
---|
| 1881 | !!---------------------------------------------------------------------- |
---|
| 1882 | !! * Arguments |
---|
| 1883 | |
---|
| 1884 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1885 | ptem, & ! potential temperature |
---|
| 1886 | psal ! salinity |
---|
| 1887 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 1888 | ptem_tl, & ! potential temperature |
---|
| 1889 | psal_tl ! salinity |
---|
| 1890 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( out ) :: & |
---|
| 1891 | pn2_tl ! Brunt-Vaisala frequency |
---|
| 1892 | |
---|
| 1893 | !! * Local declarations |
---|
| 1894 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 1895 | REAL(wp) :: & |
---|
| 1896 | zgde3w, zt, zs, zh, & ! temporary scalars |
---|
| 1897 | zalbet, zbeta ! " " |
---|
| 1898 | REAL(wp) :: & |
---|
| 1899 | zttl, zstl, & ! temporary scalars |
---|
| 1900 | zalbettl, zbetatl ! " " |
---|
| 1901 | #if defined key_zdfddm |
---|
| 1902 | REAL(wp) :: zds, zdstl ! temporary scalars |
---|
| 1903 | #endif |
---|
| 1904 | ! pn2_tl : first and last levels |
---|
| 1905 | ! --------------------------- |
---|
| 1906 | ! bn^2=0. at jk=1 and jpk set in inidtr.F : no computation |
---|
| 1907 | |
---|
| 1908 | |
---|
| 1909 | ! pn2_tl : interior points only (2=< jk =< jpkm1 ) |
---|
| 1910 | ! -------------------------- |
---|
| 1911 | |
---|
| 1912 | SELECT CASE ( neos ) |
---|
| 1913 | |
---|
| 1914 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 1915 | ! ! =============== |
---|
| 1916 | DO jk = 2, jpkm1 ! Horizontal slab |
---|
| 1917 | ! ! =============== |
---|
| 1918 | DO jj = 1, jpj |
---|
| 1919 | DO ji = 1, jpi |
---|
| 1920 | zgde3w = grav / fse3w(ji,jj,jk) |
---|
| 1921 | zt = 0.5 * ( ptem(ji,jj,jk) + ptem(ji,jj,jk-1) ) ! potential temperature at w-point |
---|
| 1922 | zs = 0.5 * ( psal(ji,jj,jk) + psal(ji,jj,jk-1) ) - 35.0 ! salinity anomaly (s-35) at w-point |
---|
| 1923 | zh = fsdepw(ji,jj,jk) ! depth in meters at w-point |
---|
| 1924 | |
---|
| 1925 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
---|
| 1926 | & - 0.203814e-03 ) * zt & |
---|
| 1927 | & + 0.170907e-01 ) * zt & |
---|
| 1928 | & + 0.665157e-01 & |
---|
| 1929 | & + ( - 0.678662e-05 * zs & |
---|
| 1930 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
---|
| 1931 | & + ( ( - 0.302285e-13 * zh & |
---|
| 1932 | & - 0.251520e-11 * zs & |
---|
| 1933 | & + 0.512857e-12 * zt * zt ) * zh & |
---|
| 1934 | & - 0.164759e-06 * zs & |
---|
| 1935 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
---|
| 1936 | & + 0.380374e-04 ) * zh |
---|
| 1937 | |
---|
| 1938 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
---|
| 1939 | & - 0.301985e-05 ) * zt & |
---|
| 1940 | & + 0.785567e-03 & |
---|
| 1941 | & + ( 0.515032e-08 * zs & |
---|
| 1942 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
---|
| 1943 | & +( ( 0.121551e-17 * zh & |
---|
| 1944 | & - 0.602281e-15 * zs & |
---|
| 1945 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
---|
| 1946 | & + 0.408195e-10 * zs & |
---|
| 1947 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
---|
| 1948 | & - 0.121555e-07 ) * zh |
---|
| 1949 | |
---|
| 1950 | |
---|
| 1951 | !! tangent part |
---|
| 1952 | zttl = 0.5 * ( ptem_tl(ji,jj,jk) + ptem_tl(ji,jj,jk-1) ) ! potential temperature at w-point |
---|
| 1953 | zstl = 0.5 * ( psal_tl(ji,jj,jk) + psal_tl(ji,jj,jk-1) ) ! salinity anomaly at w-point |
---|
| 1954 | zalbettl = ( ( ( -4.*0.255019e-07 * zt &! ratio alpha/beta |
---|
| 1955 | & +3.*0.298357e-05 ) * zt & |
---|
| 1956 | & -2.*0.203814e-03 ) * zt & |
---|
| 1957 | & + 0.170907e-01 & |
---|
| 1958 | & - 0.846960e-04 * zs & |
---|
| 1959 | & - ( 0.933746e-06 & |
---|
| 1960 | & - ( 2.*0.791325e-08 & |
---|
| 1961 | & +2.*0.512857e-12 * zh ) * zt ) * zh ) * zttl & |
---|
| 1962 | & + ( - 2.*0.678662e-05 * zs & |
---|
| 1963 | & - 0.846960e-04 * zt & |
---|
| 1964 | & + 0.378110e-02 & |
---|
| 1965 | & + ( - 0.164759e-06 & |
---|
| 1966 | & - 0.251520e-11 * zh ) * zh ) * zstl |
---|
| 1967 | |
---|
| 1968 | zbetatl = ( ( -3.*0.415613e-09 * zt & |
---|
| 1969 | & +2.*0.555579e-07 ) * zt & |
---|
| 1970 | & - 0.301985e-05 & |
---|
| 1971 | & + 0.788212e-08 * zs & |
---|
| 1972 | & + ( -2.*0.213127e-11 * zt & |
---|
| 1973 | & - 0.175379e-14 * zh & |
---|
| 1974 | & + 0.192867e-09 ) * zh ) * zttl & |
---|
| 1975 | & + ( 2.*0.515032e-08 * zs & |
---|
| 1976 | & + 0.788212e-08 * zt & |
---|
| 1977 | & - 0.356603e-06 & |
---|
| 1978 | & + ( - 0.602281e-15 * zh & |
---|
| 1979 | & + 0.408195e-10 ) * zh ) * zstl |
---|
| 1980 | |
---|
| 1981 | pn2_tl(ji,jj,jk) = zgde3w * tmask(ji,jj,jk) * ( & |
---|
| 1982 | & zbeta * ( zalbet & |
---|
| 1983 | & * ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) & |
---|
| 1984 | & + zalbettl & |
---|
| 1985 | & * ( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) & |
---|
| 1986 | & - ( psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) ) ) & |
---|
| 1987 | & + zbetatl * ( zalbet & |
---|
| 1988 | & * ( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) & |
---|
| 1989 | & - ( psal (ji,jj,jk-1) - psal (ji,jj,jk) ) ) ) |
---|
| 1990 | #if defined key_zdfddm |
---|
| 1991 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 1992 | zdstl = ( psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) ) |
---|
| 1993 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 1994 | zds = 1.e-20 |
---|
| 1995 | rrau_tl(ji,jj,jk) = zalbettl * & |
---|
| 1996 | & ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds & |
---|
| 1997 | & + zalbet * & |
---|
| 1998 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds ) |
---|
| 1999 | ELSE |
---|
| 2000 | rrau_tl(ji,jj,jk) = zalbettl * & |
---|
| 2001 | & ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds & |
---|
| 2002 | & + zalbet * & |
---|
| 2003 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds & |
---|
| 2004 | & - ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) * zdstl/ zds**2 ) |
---|
| 2005 | ENDIF |
---|
| 2006 | #endif |
---|
| 2007 | END DO |
---|
| 2008 | END DO |
---|
| 2009 | ! ! =============== |
---|
| 2010 | END DO ! End of slab |
---|
| 2011 | ! ! =============== |
---|
| 2012 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 2013 | |
---|
| 2014 | ! ! =============== |
---|
| 2015 | DO jk = 2, jpkm1 ! Horizontal slab |
---|
| 2016 | ! ! =============== |
---|
| 2017 | DO jj = 1, jpj |
---|
| 2018 | DO ji = 1, jpi |
---|
| 2019 | zgde3w = grav / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 2020 | pn2_tl(ji,jj,jk) = zgde3w * ralpha * & |
---|
| 2021 | & ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) |
---|
| 2022 | END DO |
---|
| 2023 | END DO |
---|
| 2024 | ! ! =============== |
---|
| 2025 | END DO ! End of slab |
---|
| 2026 | ! ! =============== |
---|
| 2027 | |
---|
| 2028 | |
---|
| 2029 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 2030 | |
---|
| 2031 | ! ! =============== |
---|
| 2032 | DO jk = 2, jpkm1 ! Horizontal slab |
---|
| 2033 | ! ! =============== |
---|
| 2034 | DO jj = 1, jpj |
---|
| 2035 | DO ji = 1, jpi |
---|
| 2036 | zgde3w = grav / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 2037 | pn2_tl(ji,jj,jk) = zgde3w * ( & |
---|
| 2038 | & ralpha * ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) & |
---|
| 2039 | & - rbeta * ( psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) ) ) |
---|
| 2040 | END DO |
---|
| 2041 | END DO |
---|
| 2042 | #if defined key_zdfddm |
---|
| 2043 | zalbet = ralpha / rbeta |
---|
| 2044 | DO jj = 1, jpj |
---|
| 2045 | DO ji = 1, jpi |
---|
| 2046 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2047 | zdstl = psal_tl(ji,jj,jk-1) - psal_tl(ji,jj,jk) |
---|
| 2048 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2049 | zds = 1.e-20 |
---|
| 2050 | rrau_tl(ji,jj,jk) = zalbet * & |
---|
| 2051 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds ) |
---|
| 2052 | ELSE |
---|
| 2053 | rrau_tl(ji,jj,jk) = zalbet * & |
---|
| 2054 | & ( ( ptem_tl(ji,jj,jk-1) - ptem_tl(ji,jj,jk) ) / zds & |
---|
| 2055 | & - ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) * zdstl / zds**2 ) |
---|
| 2056 | ENDIF |
---|
| 2057 | rrau(ji,jj,jk) = zalbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
---|
| 2058 | END DO |
---|
| 2059 | END DO |
---|
| 2060 | #endif |
---|
| 2061 | ! =============== |
---|
| 2062 | END DO ! End of slab |
---|
| 2063 | ! =============== |
---|
| 2064 | |
---|
| 2065 | CASE DEFAULT |
---|
| 2066 | |
---|
| 2067 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 2068 | CALL ctl_stop( ctmp1 ) |
---|
| 2069 | |
---|
| 2070 | END SELECT |
---|
| 2071 | |
---|
| 2072 | |
---|
| 2073 | |
---|
| 2074 | |
---|
| 2075 | END SUBROUTINE eos_bn2_tan |
---|
| 2076 | SUBROUTINE eos_bn2_adj ( ptem, psal, ptem_ad, psal_ad, pn2_ad ) |
---|
| 2077 | !!---------------------------------------------------------------------- |
---|
| 2078 | !! *** ROUTINE eos_bn2_adj *** |
---|
| 2079 | !! |
---|
| 2080 | !! ** Purpose of the direct routine: Compute the local |
---|
| 2081 | !! Brunt-Vaisala frequency at the time-step of the input arguments |
---|
| 2082 | !! |
---|
| 2083 | !! ** Method of the direct routine: |
---|
| 2084 | !! * neos = 0 : UNESCO sea water properties |
---|
| 2085 | !! The brunt-vaisala frequency is computed using the polynomial |
---|
| 2086 | !! polynomial expression of McDougall (1987): |
---|
| 2087 | !! N^2 = grav * beta * ( alpha/beta*dk[ t ] - dk[ s ] )/e3w |
---|
| 2088 | !! If lk_zdfddm=T, the heat/salt buoyancy flux ratio Rrau is |
---|
| 2089 | !! computed and used in zdfddm module : |
---|
| 2090 | !! Rrau = alpha/beta * ( dk[ t ] / dk[ s ] ) |
---|
| 2091 | !! * neos = 1 : linear equation of state (temperature only) |
---|
| 2092 | !! N^2 = grav * ralpha * dk[ t ]/e3w |
---|
| 2093 | !! * neos = 2 : linear equation of state (temperature & salinity) |
---|
| 2094 | !! N^2 = grav * (ralpha * dk[ t ] - rbeta * dk[ s ] ) / e3w |
---|
| 2095 | !! The use of potential density to compute N^2 introduces e r r o r |
---|
| 2096 | !! in the sign of N^2 at great depths. We recommand the use of |
---|
| 2097 | !! neos = 0, except for academical studies. |
---|
| 2098 | !! Macro-tasked on horizontal slab (jk-loop) |
---|
| 2099 | !! N.B. N^2 is set to zero at the first level (JK=1) in inidtr |
---|
| 2100 | !! and is never used at this level. |
---|
| 2101 | !! |
---|
| 2102 | !! ** Action : - pn2 : the brunt-vaisala frequency |
---|
| 2103 | !! |
---|
| 2104 | !! References : |
---|
| 2105 | !! McDougall, T. J., J. Phys. Oceanogr., 17, 1950-1964, 1987. |
---|
| 2106 | !! |
---|
| 2107 | !! History: |
---|
| 2108 | !! ! 08-07 (A. Vidard) First version |
---|
| 2109 | !!---------------------------------------------------------------------- |
---|
| 2110 | !! * Arguments |
---|
| 2111 | |
---|
| 2112 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( in ) :: & |
---|
| 2113 | ptem, & ! potential temperature |
---|
| 2114 | psal ! salinity |
---|
| 2115 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 2116 | ptem_ad, & ! adjoint potential temperature |
---|
| 2117 | psal_ad ! adjoint salinity |
---|
| 2118 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT( inout ) :: & |
---|
| 2119 | pn2_ad ! adjoint Brunt-Vaisala frequency |
---|
| 2120 | |
---|
| 2121 | !! * Local declarations |
---|
| 2122 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 2123 | REAL(wp) :: & |
---|
| 2124 | zgde3w, zt, zs, zh, & ! temporary scalars |
---|
| 2125 | zalbet, zbeta ! " " |
---|
| 2126 | REAL(wp) :: & |
---|
| 2127 | ztad, zsad, & ! temporary scalars |
---|
| 2128 | zalbetad, zbetaad ! " " |
---|
| 2129 | #if defined key_zdfddm |
---|
| 2130 | REAL(wp) :: zds, zdsad ! temporary scalars |
---|
| 2131 | #endif |
---|
| 2132 | ! pn2_tl : first and last levels |
---|
| 2133 | ! --------------------------- |
---|
| 2134 | ! bn^2=0. at jk=1 and jpk set in inidtr.F : no computation |
---|
| 2135 | |
---|
| 2136 | |
---|
| 2137 | ! pn2_tl : interior points only (2=< jk =< jpkm1 ) |
---|
| 2138 | ! -------------------------- |
---|
| 2139 | zalbetad = 0.0_wp |
---|
| 2140 | zbetaad = 0.0_wp |
---|
| 2141 | ztad = 0.0_wp |
---|
| 2142 | zsad = 0.0_wp |
---|
| 2143 | #if defined key_zdfddm |
---|
| 2144 | zdsad = 0.0_wp |
---|
| 2145 | #endif |
---|
| 2146 | |
---|
| 2147 | SELECT CASE ( neos ) |
---|
| 2148 | |
---|
| 2149 | CASE ( 0 ) ! Jackett and McDougall (1994) formulation |
---|
| 2150 | ! ! =============== |
---|
| 2151 | DO jk = jpkm1, 2, -1 ! Horizontal slab |
---|
| 2152 | ! ! =============== |
---|
| 2153 | DO jj = jpj, 1, -1 |
---|
| 2154 | DO ji = jpi, 1, -1 |
---|
| 2155 | zgde3w = grav / fse3w(ji,jj,jk) |
---|
| 2156 | zt = 0.5 * ( ptem(ji,jj,jk) + ptem(ji,jj,jk-1) ) ! potential temperature at w-point |
---|
| 2157 | zs = 0.5 * ( psal(ji,jj,jk) + psal(ji,jj,jk-1) ) - 35.0 ! salinity anomaly (s-35) at w-point |
---|
| 2158 | zh = fsdepw(ji,jj,jk) ! depth in meters at w-point |
---|
| 2159 | |
---|
| 2160 | zalbet = ( ( ( - 0.255019e-07 * zt + 0.298357e-05 ) * zt & ! ratio alpha/beta |
---|
| 2161 | & - 0.203814e-03 ) * zt & |
---|
| 2162 | & + 0.170907e-01 ) * zt & |
---|
| 2163 | & + 0.665157e-01 & |
---|
| 2164 | & + ( - 0.678662e-05 * zs & |
---|
| 2165 | & - 0.846960e-04 * zt + 0.378110e-02 ) * zs & |
---|
| 2166 | & + ( ( - 0.302285e-13 * zh & |
---|
| 2167 | & - 0.251520e-11 * zs & |
---|
| 2168 | & + 0.512857e-12 * zt * zt ) * zh & |
---|
| 2169 | & - 0.164759e-06 * zs & |
---|
| 2170 | & +( 0.791325e-08 * zt - 0.933746e-06 ) * zt & |
---|
| 2171 | & + 0.380374e-04 ) * zh |
---|
| 2172 | |
---|
| 2173 | zbeta = ( ( -0.415613e-09 * zt + 0.555579e-07 ) * zt & ! beta |
---|
| 2174 | & - 0.301985e-05 ) * zt & |
---|
| 2175 | & + 0.785567e-03 & |
---|
| 2176 | & + ( 0.515032e-08 * zs & |
---|
| 2177 | & + 0.788212e-08 * zt - 0.356603e-06 ) * zs & |
---|
| 2178 | & +( ( 0.121551e-17 * zh & |
---|
| 2179 | & - 0.602281e-15 * zs & |
---|
| 2180 | & - 0.175379e-14 * zt + 0.176621e-12 ) * zh & |
---|
| 2181 | & + 0.408195e-10 * zs & |
---|
| 2182 | & + ( - 0.213127e-11 * zt + 0.192867e-09 ) * zt & |
---|
| 2183 | & - 0.121555e-07 ) * zh |
---|
| 2184 | |
---|
| 2185 | |
---|
| 2186 | #if defined key_zdfddm |
---|
| 2187 | |
---|
| 2188 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2189 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2190 | zds = 1.e-20 |
---|
| 2191 | zdsad = 0.0_wp |
---|
| 2192 | ELSE |
---|
| 2193 | zdsad = rrau_ad(ji,jj,jk) * zalbet *( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds**2 |
---|
| 2194 | ENDIF |
---|
| 2195 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + rrau_ad(ji,jj,jk) * zalbet / zds |
---|
| 2196 | ptem_ad(ji,jj,jk ) = ptem_ad(ji,jj,jk ) - rrau_ad(ji,jj,jk) * zalbet / zds |
---|
| 2197 | zalbetad = zalbetad + rrau_ad(ji,jj,jk) * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
---|
| 2198 | rrau_ad(ji,jj,jk) = 0._wp |
---|
| 2199 | |
---|
| 2200 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) + zdsad |
---|
| 2201 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) - zdsad |
---|
| 2202 | zdsad = 0._wp |
---|
| 2203 | #endif |
---|
| 2204 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + zalbet*zbeta*zgde3w*tmask(ji,jj,jk)*pn2_ad(ji,jj,jk) |
---|
| 2205 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk ) - zalbet*zbeta*zgde3w*tmask(ji,jj,jk)*pn2_ad(ji,jj,jk) |
---|
| 2206 | zalbetad = zalbetad + zbeta*zgde3w*tmask(ji,jj,jk)*( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) *pn2_ad(ji,jj,jk) |
---|
| 2207 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) - zbeta*tmask(ji,jj,jk)*zgde3w*pn2_ad(ji,jj,jk) |
---|
| 2208 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) + zbeta*tmask(ji,jj,jk)*zgde3w*pn2_ad(ji,jj,jk) |
---|
| 2209 | zbetaad = zbetaad & |
---|
| 2210 | & + zgde3w *tmask(ji,jj,jk)* ( zalbet * ( ptem (ji,jj,jk-1) - ptem (ji,jj,jk) ) & |
---|
| 2211 | & - ( psal (ji,jj,jk-1) - psal (ji,jj,jk) ) )*pn2_ad(ji,jj,jk) |
---|
| 2212 | |
---|
| 2213 | pn2_ad(ji,jj,jk) = 0.0_wp |
---|
| 2214 | |
---|
| 2215 | ztad = ztad + ( ( -3.*0.415613e-09 * zt & |
---|
| 2216 | & +2.*0.555579e-07 ) * zt & |
---|
| 2217 | & - 0.301985e-05 & |
---|
| 2218 | & + 0.788212e-08 * zs & |
---|
| 2219 | & + ( -2.*0.213127e-11 * zt & |
---|
| 2220 | & - 0.175379e-14 * zh & |
---|
| 2221 | & + 0.192867e-09 ) * zh ) *zbetaad |
---|
| 2222 | |
---|
| 2223 | zsad = zsad + ( 2.*0.515032e-08 * zs & |
---|
| 2224 | & + 0.788212e-08 * zt & |
---|
| 2225 | & - 0.356603e-06 & |
---|
| 2226 | & + ( - 0.602281e-15 * zh & |
---|
| 2227 | & + 0.408195e-10 ) * zh ) * zbetaad |
---|
| 2228 | |
---|
| 2229 | zbetaad = 0.0_wp |
---|
| 2230 | |
---|
| 2231 | ztad = ztad + ( ( ( -4.*0.255019e-07 * zt &! ratio alpha/beta |
---|
| 2232 | & +3.*0.298357e-05 ) * zt & |
---|
| 2233 | & -2.*0.203814e-03 ) * zt & |
---|
| 2234 | & + 0.170907e-01 & |
---|
| 2235 | & - 0.846960e-04 * zs & |
---|
| 2236 | & - ( 0.933746e-06 & |
---|
| 2237 | & - ( 2.*0.791325e-08 & |
---|
| 2238 | & +2.*0.512857e-12 * zh ) * zt ) * zh & |
---|
| 2239 | & ) *zalbetad |
---|
| 2240 | |
---|
| 2241 | zsad = zsad + ( - 2.*0.678662e-05 * zs & |
---|
| 2242 | & - 0.846960e-04 * zt & |
---|
| 2243 | & + 0.378110e-02 & |
---|
| 2244 | & + ( - 0.164759e-06 & |
---|
| 2245 | & - 0.251520e-11 * zh ) * zh & |
---|
| 2246 | & ) *zalbetad |
---|
| 2247 | |
---|
| 2248 | zalbetad = 0.0_wp |
---|
| 2249 | |
---|
| 2250 | |
---|
| 2251 | psal_ad(ji,jj,jk) = psal_ad(ji,jj,jk) + 0.5 * zsad |
---|
| 2252 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) + 0.5 * zsad |
---|
| 2253 | zsad = 0.0_wp |
---|
| 2254 | |
---|
| 2255 | ptem_ad(ji,jj,jk) = ptem_ad(ji,jj,jk) + 0.5 * ztad |
---|
| 2256 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + 0.5 * ztad |
---|
| 2257 | ztad = 0.0_wp |
---|
| 2258 | |
---|
| 2259 | END DO |
---|
| 2260 | END DO |
---|
| 2261 | ! ! =============== |
---|
| 2262 | END DO ! End of slab |
---|
| 2263 | ! ! =============== |
---|
| 2264 | CASE ( 1 ) ! Linear formulation function of temperature only |
---|
| 2265 | |
---|
| 2266 | ! ! =============== |
---|
| 2267 | DO jk = jpkm1, 2, -1 ! Horizontal slab |
---|
| 2268 | ! ! =============== |
---|
| 2269 | DO jj = jpj, 1, -1 |
---|
| 2270 | DO ji = jpi, 1, -1 |
---|
| 2271 | zgde3w = grav / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 2272 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + zgde3w * ralpha * pn2_ad(ji,jj,jk) |
---|
| 2273 | ptem_ad(ji,jj,jk ) = ptem_ad(ji,jj,jk ) - zgde3w * ralpha * pn2_ad(ji,jj,jk) |
---|
| 2274 | |
---|
| 2275 | pn2_ad(ji,jj,jk) = 0.0_wp |
---|
| 2276 | END DO |
---|
| 2277 | END DO |
---|
| 2278 | ! ! =============== |
---|
| 2279 | END DO ! End of slab |
---|
| 2280 | ! ! =============== |
---|
| 2281 | |
---|
| 2282 | |
---|
| 2283 | CASE ( 2 ) ! Linear formulation function of temperature and salinity |
---|
| 2284 | |
---|
| 2285 | ! ! =============== |
---|
| 2286 | DO jk = jpkm1, 2, -1 ! Horizontal slab |
---|
| 2287 | ! ! =============== |
---|
| 2288 | #if defined key_zdfddm |
---|
| 2289 | zalbet = ralpha / rbeta |
---|
| 2290 | DO jj = jpj, 1, -1 |
---|
| 2291 | DO ji = jpi, 1, -1 |
---|
| 2292 | zds = ( psal(ji,jj,jk-1) - psal(ji,jj,jk) ) |
---|
| 2293 | IF ( ABS( zds) <= 1.e-20 ) THEN |
---|
| 2294 | zds = 1.e-20 |
---|
| 2295 | zdsad = 0.0_wp |
---|
| 2296 | ELSE |
---|
| 2297 | zdsad = zdsad - rrau_ad(ji,jj,jk) * zalbet & |
---|
| 2298 | & * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds**2 |
---|
| 2299 | ENDIF |
---|
| 2300 | rrau(ji,jj,jk) = zalbet * ( ptem(ji,jj,jk-1) - ptem(ji,jj,jk) ) / zds |
---|
| 2301 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) & |
---|
| 2302 | & + rrau_ad(ji,jj,jk) * zalbet / zds |
---|
| 2303 | ptem_ad(ji,jj,jk ) = ptem_ad(ji,jj,jk ) & |
---|
| 2304 | & - rrau_ad(ji,jj,jk) * zalbet / zds |
---|
| 2305 | rrau_ad(ji,jj,jk) = 0._wp |
---|
| 2306 | |
---|
| 2307 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) + zdsad |
---|
| 2308 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) - zdsad |
---|
| 2309 | zdsad = 0._wp |
---|
| 2310 | END DO |
---|
| 2311 | END DO |
---|
| 2312 | #endif |
---|
| 2313 | DO jj = jpj, 1, -1 |
---|
| 2314 | DO ji = jpi, 1, -1 |
---|
| 2315 | zgde3w = grav / fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 2316 | ptem_ad(ji,jj,jk-1) = ptem_ad(ji,jj,jk-1) + zgde3w * ralpha * pn2_ad(ji,jj,jk) |
---|
| 2317 | ptem_ad(ji,jj,jk ) = ptem_ad(ji,jj,jk ) - zgde3w * ralpha * pn2_ad(ji,jj,jk) |
---|
| 2318 | psal_ad(ji,jj,jk-1) = psal_ad(ji,jj,jk-1) - zgde3w * rbeta * pn2_ad(ji,jj,jk) |
---|
| 2319 | psal_ad(ji,jj,jk ) = psal_ad(ji,jj,jk ) + zgde3w * rbeta * pn2_ad(ji,jj,jk) |
---|
| 2320 | pn2_ad(ji,jj,jk) = 0.0_wp |
---|
| 2321 | END DO |
---|
| 2322 | END DO |
---|
| 2323 | ! =============== |
---|
| 2324 | END DO ! End of slab |
---|
| 2325 | ! =============== |
---|
| 2326 | |
---|
| 2327 | CASE DEFAULT |
---|
| 2328 | |
---|
| 2329 | WRITE(ctmp1,*) ' bad flag value for neos = ', neos |
---|
| 2330 | CALL ctl_stop( ctmp1 ) |
---|
| 2331 | |
---|
| 2332 | END SELECT |
---|
| 2333 | |
---|
| 2334 | END SUBROUTINE eos_bn2_adj |
---|
| 2335 | |
---|
| 2336 | #if defined key_tam |
---|
| 2337 | SUBROUTINE eos_insitu_adj_tst( kumadt ) |
---|
| 2338 | !!----------------------------------------------------------------------- |
---|
| 2339 | !! |
---|
| 2340 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2341 | !! |
---|
| 2342 | !! ** Purpose : Test the adjoint routine. |
---|
| 2343 | !! |
---|
| 2344 | !! ** Method : Verify the scalar product |
---|
| 2345 | !! |
---|
| 2346 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2347 | !! |
---|
| 2348 | !! where L = tangent routine |
---|
| 2349 | !! L^T = adjoint routine |
---|
| 2350 | !! W = diagonal matrix of scale factors |
---|
| 2351 | !! dx = input perturbation (random field) |
---|
| 2352 | !! dy = L dx |
---|
| 2353 | !! |
---|
| 2354 | !! |
---|
| 2355 | !! History : |
---|
| 2356 | !! ! 08-07 (A. Vidard) |
---|
| 2357 | !!----------------------------------------------------------------------- |
---|
| 2358 | !! * Modules used |
---|
| 2359 | |
---|
| 2360 | !! * Arguments |
---|
| 2361 | INTEGER, INTENT(IN) :: & |
---|
| 2362 | & kumadt ! Output unit |
---|
| 2363 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2364 | ztem, & ! potential temperature |
---|
| 2365 | zsal ! salinity |
---|
| 2366 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2367 | & zt_adout, & ! potential temperature |
---|
| 2368 | & zs_adout ! salinity |
---|
| 2369 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2370 | & zrd_adin ! anomaly density |
---|
| 2371 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2372 | & zt_tlin, & ! potential temperature |
---|
| 2373 | & zs_tlin ! salinity |
---|
| 2374 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2375 | & znt, & ! potential temperature |
---|
| 2376 | & zns ! salinity |
---|
| 2377 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2378 | & zrd_tlout ! anomaly density |
---|
| 2379 | REAL(KIND=wp) :: & |
---|
| 2380 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2381 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2382 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2383 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2384 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2385 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2386 | INTEGER :: & |
---|
| 2387 | & ji, & |
---|
| 2388 | & jj, & |
---|
| 2389 | & jk |
---|
| 2390 | CHARACTER(LEN=14) :: cl_name |
---|
| 2391 | |
---|
| 2392 | ALLOCATE( & |
---|
| 2393 | & ztem( jpi, jpj, jpk ), & |
---|
| 2394 | & zsal( jpi, jpj, jpk ), & |
---|
| 2395 | & znt( jpi, jpj, jpk ), & |
---|
| 2396 | & zns( jpi, jpj, jpk ), & |
---|
| 2397 | & zt_adout( jpi, jpj, jpk ), & |
---|
| 2398 | & zs_adout( jpi, jpj, jpk ), & |
---|
| 2399 | & zrd_adin( jpi, jpj, jpk ), & |
---|
| 2400 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 2401 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 2402 | & zrd_tlout(jpi, jpj, jpk ) ) |
---|
| 2403 | ! Initialize the reference state |
---|
| 2404 | ztem(:,:,:) = tn(:,:,:) |
---|
| 2405 | zsal(:,:,:) = sn(:,:,:) |
---|
| 2406 | |
---|
| 2407 | |
---|
| 2408 | !============================================================= |
---|
| 2409 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2410 | !============================================================= |
---|
| 2411 | |
---|
| 2412 | !-------------------------------------------------------------------- |
---|
| 2413 | ! Reset the tangent and adjoint variables |
---|
| 2414 | !-------------------------------------------------------------------- |
---|
| 2415 | zt_tlin(:,:,:) = 0.0_wp |
---|
| 2416 | zs_tlin(:,:,:) = 0.0_wp |
---|
| 2417 | zrd_tlout(:,:,:) = 0.0_wp |
---|
| 2418 | zt_adout(:,:,:) = 0.0_wp |
---|
| 2419 | zs_adout(:,:,:) = 0.0_wp |
---|
| 2420 | zrd_adin(:,:,:) = 0.0_wp |
---|
| 2421 | |
---|
| 2422 | !-------------------------------------------------------------------- |
---|
| 2423 | ! Initialize the tangent input with random noise: dx |
---|
| 2424 | !-------------------------------------------------------------------- |
---|
| 2425 | DO jj = 1, jpj |
---|
| 2426 | DO ji = 1, jpi |
---|
| 2427 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2428 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2429 | END DO |
---|
| 2430 | END DO |
---|
| 2431 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2432 | DO jj = 1, jpj |
---|
| 2433 | DO ji = 1, jpi |
---|
| 2434 | iseed_2d(ji,jj) = - ( 395703 + & |
---|
| 2435 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2436 | END DO |
---|
| 2437 | END DO |
---|
| 2438 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2439 | |
---|
| 2440 | DO jk = 1, jpk |
---|
| 2441 | DO jj = nldj, nlej |
---|
| 2442 | DO ji = nldi, nlei |
---|
| 2443 | zt_tlin(ji,jj,jk) = znt(ji,jj,jk) |
---|
| 2444 | zs_tlin(ji,jj,jk) = zns(ji,jj,jk) |
---|
| 2445 | END DO |
---|
| 2446 | END DO |
---|
| 2447 | END DO |
---|
| 2448 | |
---|
| 2449 | CALL eos_insitu_tan(ztem, zsal, zt_tlin, zs_tlin, zrd_tlout) |
---|
| 2450 | |
---|
| 2451 | DO jk = 1, jpk |
---|
| 2452 | DO jj = nldj, nlej |
---|
| 2453 | DO ji = nldi, nlei |
---|
| 2454 | zrd_adin(ji,jj,jk) = zrd_tlout(ji,jj,jk) & |
---|
| 2455 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk)& |
---|
| 2456 | & * tmask(ji,jj,jk) |
---|
| 2457 | END DO |
---|
| 2458 | END DO |
---|
| 2459 | END DO |
---|
| 2460 | |
---|
| 2461 | !-------------------------------------------------------------------- |
---|
| 2462 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2463 | !-------------------------------------------------------------------- |
---|
| 2464 | |
---|
| 2465 | zsp1 = DOT_PRODUCT( zrd_tlout, zrd_adin ) |
---|
| 2466 | |
---|
| 2467 | !-------------------------------------------------------------------- |
---|
| 2468 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 2469 | !-------------------------------------------------------------------- |
---|
| 2470 | |
---|
| 2471 | CALL eos_insitu_adj(ztem, zsal, zt_adout, zs_adout, zrd_adin) |
---|
| 2472 | |
---|
| 2473 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 2474 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 2475 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 2476 | |
---|
| 2477 | ! Compare the scalar products |
---|
| 2478 | |
---|
| 2479 | ! Compare the scalar products |
---|
| 2480 | ! 14 char:'12345678901234' |
---|
| 2481 | cl_name = 'eos_adj insitu' |
---|
| 2482 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2483 | ! Deallocate memory |
---|
| 2484 | |
---|
| 2485 | DEALLOCATE( & |
---|
| 2486 | & ztem, & |
---|
| 2487 | & zsal, & |
---|
| 2488 | & zt_adout, & |
---|
| 2489 | & zs_adout, & |
---|
| 2490 | & zrd_adin, & |
---|
| 2491 | & zt_tlin, & |
---|
| 2492 | & zs_tlin, & |
---|
| 2493 | & zrd_tlout, & |
---|
| 2494 | & znt, & |
---|
| 2495 | & zns & |
---|
| 2496 | & ) |
---|
| 2497 | |
---|
| 2498 | |
---|
| 2499 | END SUBROUTINE eos_insitu_adj_tst |
---|
| 2500 | SUBROUTINE eos_insitu_pot_adj_tst( kumadt ) |
---|
| 2501 | !!----------------------------------------------------------------------- |
---|
| 2502 | !! |
---|
| 2503 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2504 | !! |
---|
| 2505 | !! ** Purpose : Test the adjoint routine. |
---|
| 2506 | !! |
---|
| 2507 | !! ** Method : Verify the scalar product |
---|
| 2508 | !! |
---|
| 2509 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2510 | !! |
---|
| 2511 | !! where L = tangent routine |
---|
| 2512 | !! L^T = adjoint routine |
---|
| 2513 | !! W = diagonal matrix of scale factors |
---|
| 2514 | !! dx = input perturbation (random field) |
---|
| 2515 | !! dy = L dx |
---|
| 2516 | !! |
---|
| 2517 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 2518 | !! |
---|
| 2519 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 2520 | !! |
---|
| 2521 | !! History : |
---|
| 2522 | !! ! 08-07 (A. Vidard) |
---|
| 2523 | !!----------------------------------------------------------------------- |
---|
| 2524 | !! * Modules used |
---|
| 2525 | |
---|
| 2526 | !! * Arguments |
---|
| 2527 | INTEGER, INTENT(IN) :: & |
---|
| 2528 | & kumadt ! Output unit |
---|
| 2529 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2530 | ztem, & ! potential temperature |
---|
| 2531 | zsal ! salinity |
---|
| 2532 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2533 | & zt_adout, & ! potential temperature |
---|
| 2534 | & zs_adout ! salinity |
---|
| 2535 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2536 | & zrd_adin ! anomaly density |
---|
| 2537 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2538 | & zrhop_adin ! volume mass |
---|
| 2539 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2540 | & zt_tlin, & ! potential temperature |
---|
| 2541 | & zs_tlin ! salinity |
---|
| 2542 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2543 | & znt, & ! potential temperature |
---|
| 2544 | & zns ! salinity |
---|
| 2545 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2546 | & zrd_tlout ! anomaly density |
---|
| 2547 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2548 | & zrhop_tlout ! volume mass |
---|
| 2549 | REAL(KIND=wp) :: & |
---|
| 2550 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2551 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2552 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2553 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2554 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2555 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2556 | INTEGER :: & |
---|
| 2557 | & ji, & |
---|
| 2558 | & jj, & |
---|
| 2559 | & jk |
---|
| 2560 | CHARACTER(LEN=14) :: cl_name |
---|
| 2561 | |
---|
| 2562 | ! Allocate memory |
---|
| 2563 | ALLOCATE( & |
---|
| 2564 | & ztem( jpi, jpj, jpk ), & |
---|
| 2565 | & zsal( jpi, jpj, jpk ), & |
---|
| 2566 | & zt_adout( jpi, jpj, jpk ), & |
---|
| 2567 | & zs_adout( jpi, jpj, jpk ), & |
---|
| 2568 | & zrhop_adin( jpi, jpj, jpk ), & |
---|
| 2569 | & zrd_adin( jpi, jpj, jpk ), & |
---|
| 2570 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 2571 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 2572 | & zns( jpi, jpj, jpk ), & |
---|
| 2573 | & znt( jpi, jpj, jpk ), & |
---|
| 2574 | & zrd_tlout(jpi, jpj, jpk ), & |
---|
| 2575 | & zrhop_tlout(jpi, jpj, jpk ) ) |
---|
| 2576 | ! Initialize random field standard deviationsthe reference state |
---|
| 2577 | ztem = tn |
---|
| 2578 | zsal = sn |
---|
| 2579 | |
---|
| 2580 | !============================================= |
---|
| 2581 | ! testing of eos_insitu_pot |
---|
| 2582 | !============================================= |
---|
| 2583 | |
---|
| 2584 | !============================================================= |
---|
| 2585 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2586 | !============================================================= |
---|
| 2587 | |
---|
| 2588 | !-------------------------------------------------------------------- |
---|
| 2589 | ! Reset the tangent and adjoint variables |
---|
| 2590 | !-------------------------------------------------------------------- |
---|
| 2591 | zt_tlin(:,:,:) = 0.0_wp |
---|
| 2592 | zs_tlin(:,:,:) = 0.0_wp |
---|
| 2593 | zrd_tlout(:,:,:) = 0.0_wp |
---|
| 2594 | zrhop_tlout(:,:,:) = 0.0_wp |
---|
| 2595 | zt_adout(:,:,:) = 0.0_wp |
---|
| 2596 | zs_adout(:,:,:) = 0.0_wp |
---|
| 2597 | zrhop_adin(:,:,:) = 0.0_wp |
---|
| 2598 | zrd_adin(:,:,:) = 0.0_wp |
---|
| 2599 | |
---|
| 2600 | !-------------------------------------------------------------------- |
---|
| 2601 | ! Initialize the tangent input with random noise: dx |
---|
| 2602 | !-------------------------------------------------------------------- |
---|
| 2603 | DO jj = 1, jpj |
---|
| 2604 | DO ji = 1, jpi |
---|
| 2605 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2606 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2607 | END DO |
---|
| 2608 | END DO |
---|
| 2609 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2610 | DO jj = 1, jpj |
---|
| 2611 | DO ji = 1, jpi |
---|
| 2612 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2613 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2614 | END DO |
---|
| 2615 | END DO |
---|
| 2616 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2617 | DO jk = 1, jpk |
---|
| 2618 | DO jj = nldj, nlej |
---|
| 2619 | DO ji = nldi, nlei |
---|
| 2620 | zt_tlin(ji,jj,jk) = znt(ji,jj,jk) |
---|
| 2621 | zs_tlin(ji,jj,jk) = zns(ji,jj,jk) |
---|
| 2622 | END DO |
---|
| 2623 | END DO |
---|
| 2624 | END DO |
---|
| 2625 | !-------------------------------------------------------------------- |
---|
| 2626 | ! Call the tangent routine: dy = L dx |
---|
| 2627 | !-------------------------------------------------------------------- |
---|
| 2628 | |
---|
| 2629 | call eos_insitu_pot_tan ( ztem, zsal, zt_tlin, zs_tlin, zrd_tlout, zrhop_tlout ) |
---|
| 2630 | |
---|
| 2631 | !-------------------------------------------------------------------- |
---|
| 2632 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 2633 | !-------------------------------------------------------------------- |
---|
| 2634 | DO jk = 1, jpk |
---|
| 2635 | DO jj = nldj, nlej |
---|
| 2636 | DO ji = nldi, nlei |
---|
| 2637 | zrd_adin(ji,jj,jk) = zrd_tlout(ji,jj,jk) & |
---|
| 2638 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk)& |
---|
| 2639 | & * tmask(ji,jj,jk) |
---|
| 2640 | zrhop_adin(ji,jj,jk) = zrhop_tlout(ji,jj,jk) & |
---|
| 2641 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk)& |
---|
| 2642 | & * tmask(ji,jj,jk) |
---|
| 2643 | END DO |
---|
| 2644 | END DO |
---|
| 2645 | END DO |
---|
| 2646 | |
---|
| 2647 | !-------------------------------------------------------------------- |
---|
| 2648 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2649 | !-------------------------------------------------------------------- |
---|
| 2650 | |
---|
| 2651 | zsp1 = DOT_PRODUCT( zrd_tlout , zrd_adin ) & |
---|
| 2652 | & + DOT_PRODUCT( zrhop_tlout, zrhop_adin ) |
---|
| 2653 | !-------------------------------------------------------------------- |
---|
| 2654 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 2655 | !-------------------------------------------------------------------- |
---|
| 2656 | |
---|
| 2657 | CALL eos_insitu_pot_adj( ztem, zsal, zt_adout, zs_adout, zrd_adin, zrhop_adin ) |
---|
| 2658 | !-------------------------------------------------------------------- |
---|
| 2659 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 2660 | !-------------------------------------------------------------------- |
---|
| 2661 | |
---|
| 2662 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 2663 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 2664 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 2665 | ! Compare the scalar products |
---|
| 2666 | |
---|
| 2667 | ! 14 char:'12345678901234' |
---|
| 2668 | cl_name = 'eos_adj pot ' |
---|
| 2669 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2670 | ! Deallocate memory |
---|
| 2671 | DEALLOCATE( & |
---|
| 2672 | & ztem, & |
---|
| 2673 | & zsal, & |
---|
| 2674 | & zt_adout, & |
---|
| 2675 | & zs_adout, & |
---|
| 2676 | & zrd_adin, & |
---|
| 2677 | & zrhop_adin, & |
---|
| 2678 | & zt_tlin, & |
---|
| 2679 | & zs_tlin, & |
---|
| 2680 | & zrd_tlout, & |
---|
| 2681 | & zrhop_tlout,& |
---|
| 2682 | & zns, znt ) |
---|
| 2683 | |
---|
| 2684 | END SUBROUTINE eos_insitu_pot_adj_tst |
---|
| 2685 | SUBROUTINE eos_insitu_2d_adj_tst( kumadt ) |
---|
| 2686 | !!----------------------------------------------------------------------- |
---|
| 2687 | !! |
---|
| 2688 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2689 | !! |
---|
| 2690 | !! ** Purpose : Test the adjoint routine. |
---|
| 2691 | !! |
---|
| 2692 | !! ** Method : Verify the scalar product |
---|
| 2693 | !! |
---|
| 2694 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2695 | !! |
---|
| 2696 | !! where L = tangent routine |
---|
| 2697 | !! L^T = adjoint routine |
---|
| 2698 | !! W = diagonal matrix of scale factors |
---|
| 2699 | !! dx = input perturbation (random field) |
---|
| 2700 | !! dy = L dx |
---|
| 2701 | !! |
---|
| 2702 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 2703 | !! |
---|
| 2704 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 2705 | !! |
---|
| 2706 | !! History : |
---|
| 2707 | !! ! 08-07 (A. Vidard) |
---|
| 2708 | !!----------------------------------------------------------------------- |
---|
| 2709 | !! * Modules used |
---|
| 2710 | |
---|
| 2711 | !! * Arguments |
---|
| 2712 | INTEGER, INTENT(IN) :: & |
---|
| 2713 | & kumadt ! Output unit |
---|
| 2714 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2715 | zdep ! depth |
---|
| 2716 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2717 | ztem, & ! potential temperature |
---|
| 2718 | zsal ! salinity |
---|
| 2719 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2720 | & zt_adout, & ! potential temperature |
---|
| 2721 | & zs_adout ! salinity |
---|
| 2722 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2723 | & zrd_adin ! anomaly density |
---|
| 2724 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2725 | & zt_tlin, & ! potential temperature |
---|
| 2726 | & zs_tlin ! salinity |
---|
| 2727 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2728 | & znt, & ! potential temperature |
---|
| 2729 | & zns ! salinity |
---|
| 2730 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 2731 | & zrd_tlout ! anomaly density |
---|
| 2732 | REAL(KIND=wp) :: & |
---|
| 2733 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2734 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2735 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2736 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2737 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2738 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2739 | INTEGER :: & |
---|
| 2740 | & ji, & |
---|
| 2741 | & jj |
---|
| 2742 | CHARACTER(LEN=14) :: cl_name |
---|
| 2743 | |
---|
| 2744 | ! Allocate memory |
---|
| 2745 | |
---|
| 2746 | ALLOCATE( & |
---|
| 2747 | & zdep( jpi, jpj ), & |
---|
| 2748 | & ztem( jpi, jpj ), & |
---|
| 2749 | & zsal( jpi, jpj ), & |
---|
| 2750 | & znt( jpi, jpj ), & |
---|
| 2751 | & zns( jpi, jpj ), & |
---|
| 2752 | & zt_adout( jpi, jpj ), & |
---|
| 2753 | & zs_adout( jpi, jpj ), & |
---|
| 2754 | & zrd_adin( jpi, jpj ), & |
---|
| 2755 | & zs_tlin( jpi, jpj ), & |
---|
| 2756 | & zt_tlin( jpi, jpj ), & |
---|
| 2757 | & zrd_tlout(jpi, jpj ) ) |
---|
| 2758 | ! Initialize the reference state |
---|
| 2759 | ztem(:,:) = tn(:,:,2) |
---|
| 2760 | zsal(:,:) = sn(:,:,2) |
---|
| 2761 | zdep(:,:) = fsdept(:,:,2) |
---|
| 2762 | |
---|
| 2763 | |
---|
| 2764 | !============================================================= |
---|
| 2765 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2766 | !============================================================= |
---|
| 2767 | |
---|
| 2768 | !-------------------------------------------------------------------- |
---|
| 2769 | ! Reset the tangent and adjoint variables |
---|
| 2770 | !-------------------------------------------------------------------- |
---|
| 2771 | zt_tlin(:,:) = 0.0_wp |
---|
| 2772 | zs_tlin(:,:) = 0.0_wp |
---|
| 2773 | zrd_tlout(:,:) = 0.0_wp |
---|
| 2774 | zt_adout(:,:) = 0.0_wp |
---|
| 2775 | zs_adout(:,:) = 0.0_wp |
---|
| 2776 | zrd_adin(:,:) = 0.0_wp |
---|
| 2777 | |
---|
| 2778 | !-------------------------------------------------------------------- |
---|
| 2779 | ! Initialize the tangent input with random noise: dx |
---|
| 2780 | !-------------------------------------------------------------------- |
---|
| 2781 | DO jj = 1, jpj |
---|
| 2782 | DO ji = 1, jpi |
---|
| 2783 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2784 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2785 | END DO |
---|
| 2786 | END DO |
---|
| 2787 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2788 | DO jj = 1, jpj |
---|
| 2789 | DO ji = 1, jpi |
---|
| 2790 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2791 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2792 | END DO |
---|
| 2793 | END DO |
---|
| 2794 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2795 | DO jj = nldj, nlej |
---|
| 2796 | DO ji = nldi, nlei |
---|
| 2797 | zt_tlin(ji,jj) = znt(ji,jj) |
---|
| 2798 | zs_tlin(ji,jj) = zns(ji,jj) |
---|
| 2799 | END DO |
---|
| 2800 | END DO |
---|
| 2801 | |
---|
| 2802 | CALL eos_insitu_2d_tan(ztem, zsal, zdep, zt_tlin, zs_tlin, zrd_tlout) |
---|
| 2803 | |
---|
| 2804 | DO jj = nldj, nlej |
---|
| 2805 | DO ji = nldi, nlei |
---|
| 2806 | zrd_adin(ji,jj) = zrd_tlout(ji,jj) & |
---|
| 2807 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,2)& |
---|
| 2808 | & * tmask(ji,jj,2) |
---|
| 2809 | END DO |
---|
| 2810 | END DO |
---|
| 2811 | |
---|
| 2812 | !-------------------------------------------------------------------- |
---|
| 2813 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 2814 | !-------------------------------------------------------------------- |
---|
| 2815 | |
---|
| 2816 | zsp1 = DOT_PRODUCT( zrd_tlout, zrd_adin ) |
---|
| 2817 | |
---|
| 2818 | !-------------------------------------------------------------------- |
---|
| 2819 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 2820 | !-------------------------------------------------------------------- |
---|
| 2821 | |
---|
| 2822 | CALL eos_insitu_2d_adj(ztem, zsal, zdep, zt_adout, zs_adout, zrd_adin) |
---|
| 2823 | |
---|
| 2824 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 2825 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 2826 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 2827 | |
---|
| 2828 | ! Compare the scalar products |
---|
| 2829 | |
---|
| 2830 | ! 14 char:'12345678901234' |
---|
| 2831 | cl_name = 'eos_adj 2d ' |
---|
| 2832 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 2833 | |
---|
| 2834 | ! Deallocate memory |
---|
| 2835 | |
---|
| 2836 | DEALLOCATE( & |
---|
| 2837 | & zdep, & |
---|
| 2838 | & ztem, & |
---|
| 2839 | & zsal, & |
---|
| 2840 | & zt_adout, & |
---|
| 2841 | & zs_adout, & |
---|
| 2842 | & zrd_adin, & |
---|
| 2843 | & zt_tlin, & |
---|
| 2844 | & zs_tlin, & |
---|
| 2845 | & zrd_tlout, & |
---|
| 2846 | & zns, znt ) |
---|
| 2847 | |
---|
| 2848 | |
---|
| 2849 | END SUBROUTINE eos_insitu_2d_adj_tst |
---|
| 2850 | |
---|
| 2851 | SUBROUTINE eos_adj_tst( kumadt ) |
---|
| 2852 | !!----------------------------------------------------------------------- |
---|
| 2853 | !! |
---|
| 2854 | !! *** ROUTINE eos_adj_tst *** |
---|
| 2855 | !! |
---|
| 2856 | !! ** Purpose : Test the adjoint routine. |
---|
| 2857 | !! |
---|
| 2858 | !! History : |
---|
| 2859 | !! ! 08-07 (A. Vidard) |
---|
| 2860 | !!----------------------------------------------------------------------- |
---|
| 2861 | !! * Arguments |
---|
| 2862 | INTEGER, INTENT(IN) :: & |
---|
| 2863 | & kumadt ! Output unit |
---|
| 2864 | |
---|
| 2865 | CALL eos_insitu_adj_tst( kumadt ) |
---|
| 2866 | |
---|
| 2867 | CALL eos_insitu_pot_adj_tst( kumadt ) |
---|
| 2868 | |
---|
| 2869 | CALL eos_insitu_2d_adj_tst( kumadt ) |
---|
| 2870 | |
---|
| 2871 | END SUBROUTINE eos_adj_tst |
---|
| 2872 | SUBROUTINE bn2_adj_tst( kumadt ) |
---|
| 2873 | !!----------------------------------------------------------------------- |
---|
| 2874 | !! |
---|
| 2875 | !! *** ROUTINE bn2_adj_tst *** |
---|
| 2876 | !! |
---|
| 2877 | !! ** Purpose : Test the adjoint routine. |
---|
| 2878 | !! |
---|
| 2879 | !! ** Method : Verify the scalar product |
---|
| 2880 | !! |
---|
| 2881 | !! ( L dx )^T W dy = dx^T L^T W dy |
---|
| 2882 | !! |
---|
| 2883 | !! where L = tangent routine |
---|
| 2884 | !! L^T = adjoint routine |
---|
| 2885 | !! W = diagonal matrix of scale factors |
---|
| 2886 | !! dx = input perturbation (random field) |
---|
| 2887 | !! dy = L dx |
---|
| 2888 | !! |
---|
| 2889 | !! ** Action : Separate tests are applied for the following dx and dy: |
---|
| 2890 | !! |
---|
| 2891 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
---|
| 2892 | !! |
---|
| 2893 | !! History : |
---|
| 2894 | !! ! 08-07 (A. Vidard) |
---|
| 2895 | !!----------------------------------------------------------------------- |
---|
| 2896 | !! * Modules used |
---|
| 2897 | |
---|
| 2898 | !! * Arguments |
---|
| 2899 | INTEGER, INTENT(IN) :: & |
---|
| 2900 | & kumadt ! Output unit |
---|
| 2901 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2902 | ztem, & ! potential temperature |
---|
| 2903 | zsal ! salinity |
---|
| 2904 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2905 | & zt_adout, & ! potential temperature |
---|
| 2906 | & zs_adout ! salinity |
---|
| 2907 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2908 | & zrd_adin, & ! potential density (surface referenced) |
---|
| 2909 | & zrd_adout ! potential density (surface referenced) |
---|
| 2910 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2911 | & zt_tlin, & ! potential temperature |
---|
| 2912 | & zs_tlin, & ! salinity |
---|
| 2913 | & zt_tlout, & ! potential temperature |
---|
| 2914 | & zs_tlout ! salinity |
---|
| 2915 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2916 | & zrd_tlout ! potential density (surface referenced) |
---|
| 2917 | REAL(KIND=wp) :: & |
---|
| 2918 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 2919 | & zsp2, & ! scalar product involving the adjoint routine |
---|
| 2920 | & zsp2_1, & ! scalar product involving the adjoint routine |
---|
| 2921 | & zsp2_2 ! scalar product involving the adjoint routine |
---|
| 2922 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 2923 | & znt, & ! potential temperature |
---|
| 2924 | & zns ! salinity |
---|
| 2925 | INTEGER, DIMENSION(jpi,jpj) :: & |
---|
| 2926 | & iseed_2d ! 2D seed for the random number generator |
---|
| 2927 | INTEGER :: & |
---|
| 2928 | & iseed, & |
---|
| 2929 | & ji, & |
---|
| 2930 | & jj, & |
---|
| 2931 | & jk |
---|
| 2932 | CHARACTER(LEN=14) :: cl_name |
---|
| 2933 | |
---|
| 2934 | ! Allocate memory |
---|
| 2935 | ALLOCATE( & |
---|
| 2936 | & ztem( jpi, jpj, jpk ), & |
---|
| 2937 | & zsal( jpi, jpj, jpk ), & |
---|
| 2938 | & zt_adout( jpi, jpj, jpk ), & |
---|
| 2939 | & zs_adout( jpi, jpj, jpk ), & |
---|
| 2940 | & zrd_adin( jpi, jpj, jpk ), & |
---|
| 2941 | & zrd_adout(jpi, jpj, jpk ), & |
---|
| 2942 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 2943 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 2944 | & zns( jpi, jpj, jpk ), & |
---|
| 2945 | & znt( jpi, jpj, jpk ), & |
---|
| 2946 | & zt_tlout( jpi, jpj, jpk ), & |
---|
| 2947 | & zs_tlout( jpi, jpj, jpk ), & |
---|
| 2948 | & zrd_tlout(jpi, jpj, jpk ) ) |
---|
| 2949 | ! Initialize random field standard deviationsthe reference state |
---|
| 2950 | ztem = tn |
---|
| 2951 | zsal = sn |
---|
| 2952 | |
---|
| 2953 | !============================================================= |
---|
| 2954 | ! 1) dx = ( T ) and dy = ( T ) |
---|
| 2955 | !============================================================= |
---|
| 2956 | |
---|
| 2957 | !-------------------------------------------------------------------- |
---|
| 2958 | ! Reset the tangent and adjoint variables |
---|
| 2959 | !-------------------------------------------------------------------- |
---|
| 2960 | zt_tlin(:,:,:) = 0.0_wp |
---|
| 2961 | zs_tlin(:,:,:) = 0.0_wp |
---|
| 2962 | zt_tlout(:,:,:) = 0.0_wp |
---|
| 2963 | zs_tlout(:,:,:) = 0.0_wp |
---|
| 2964 | zrd_tlout(:,:,:) = 0.0_wp |
---|
| 2965 | zt_adout(:,:,:) = 0.0_wp |
---|
| 2966 | zs_adout(:,:,:) = 0.0_wp |
---|
| 2967 | zrd_adin(:,:,:) = 0.0_wp |
---|
| 2968 | zrd_adout(:,:,:) = 0.0_wp |
---|
| 2969 | |
---|
| 2970 | !-------------------------------------------------------------------- |
---|
| 2971 | ! Initialize the tangent input with random noise: dx |
---|
| 2972 | !-------------------------------------------------------------------- |
---|
| 2973 | DO jj = 1, jpj |
---|
| 2974 | DO ji = 1, jpi |
---|
| 2975 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2976 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2977 | END DO |
---|
| 2978 | END DO |
---|
| 2979 | CALL grid_random( iseed_2d, znt, 'T', 0.0_wp, stdt ) |
---|
| 2980 | DO jj = 1, jpj |
---|
| 2981 | DO ji = 1, jpi |
---|
| 2982 | iseed_2d(ji,jj) = - ( 456953 + & |
---|
| 2983 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
---|
| 2984 | END DO |
---|
| 2985 | END DO |
---|
| 2986 | CALL grid_random( iseed_2d, zns, 'T', 0.0_wp, stds ) |
---|
| 2987 | DO jk = 1, jpk |
---|
| 2988 | DO jj = nldj, nlej |
---|
| 2989 | DO ji = nldi, nlei |
---|
| 2990 | zt_tlin(ji,jj,jk) = znt(ji,jj,jk) |
---|
| 2991 | zs_tlin(ji,jj,jk) = zns(ji,jj,jk) |
---|
| 2992 | END DO |
---|
| 2993 | END DO |
---|
| 2994 | END DO |
---|
| 2995 | !-------------------------------------------------------------------- |
---|
| 2996 | ! Call the tangent routine: dy = L dx |
---|
| 2997 | !-------------------------------------------------------------------- |
---|
| 2998 | zt_tlout(:,:,:) = zt_tlin |
---|
| 2999 | zs_tlout(:,:,:) = zs_tlin |
---|
| 3000 | |
---|
| 3001 | CALL eos_bn2_tan( ztem, zsal, zt_tlout, zs_tlout, zrd_tlout ) |
---|
| 3002 | !-------------------------------------------------------------------- |
---|
| 3003 | ! Initialize the adjoint variables: dy^* = W dy |
---|
| 3004 | !-------------------------------------------------------------------- |
---|
| 3005 | DO jk = 1, jpk |
---|
| 3006 | DO jj = nldj, nlej |
---|
| 3007 | DO ji = nldi, nlei |
---|
| 3008 | zrd_adin(ji,jj,jk) = zrd_tlout(ji,jj,jk) & |
---|
| 3009 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) & |
---|
| 3010 | & * tmask(ji,jj,jk) |
---|
| 3011 | END DO |
---|
| 3012 | END DO |
---|
| 3013 | END DO |
---|
| 3014 | |
---|
| 3015 | !-------------------------------------------------------------------- |
---|
| 3016 | ! Compute the scalar product: ( L dx )^T W dy |
---|
| 3017 | !-------------------------------------------------------------------- |
---|
| 3018 | |
---|
| 3019 | zsp1 = DOT_PRODUCT( zrd_tlout, zrd_adin ) |
---|
| 3020 | |
---|
| 3021 | !-------------------------------------------------------------------- |
---|
| 3022 | ! Call the adjoint routine: dx^* = L^T dy^* |
---|
| 3023 | !-------------------------------------------------------------------- |
---|
| 3024 | |
---|
| 3025 | zrd_adout(:,:,:) = zrd_adin(:,:,:) |
---|
| 3026 | |
---|
| 3027 | CALL eos_bn2_adj( ztem, zsal, zt_adout, zs_adout, zrd_adout ) |
---|
| 3028 | |
---|
| 3029 | !-------------------------------------------------------------------- |
---|
| 3030 | ! Compute the scalar product: dx^T L^T W dy |
---|
| 3031 | !-------------------------------------------------------------------- |
---|
| 3032 | |
---|
| 3033 | zsp2_1 = DOT_PRODUCT( zt_tlin, zt_adout ) |
---|
| 3034 | zsp2_2 = DOT_PRODUCT( zs_tlin, zs_adout ) |
---|
| 3035 | zsp2 = zsp2_1 + zsp2_2 |
---|
| 3036 | |
---|
| 3037 | ! Compare the scalar products |
---|
| 3038 | |
---|
| 3039 | ! 14 char:'12345678901234' |
---|
| 3040 | cl_name = 'bn2_adj ' |
---|
| 3041 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
---|
| 3042 | |
---|
| 3043 | ! Deallocate memory |
---|
| 3044 | |
---|
| 3045 | DEALLOCATE( & |
---|
| 3046 | & ztem, & |
---|
| 3047 | & zsal, & |
---|
| 3048 | & zt_adout, & |
---|
| 3049 | & zs_adout, & |
---|
| 3050 | & zrd_adin, & |
---|
| 3051 | & zrd_adout, & |
---|
| 3052 | & zt_tlin, & |
---|
| 3053 | & zs_tlin, & |
---|
| 3054 | & zt_tlout, & |
---|
| 3055 | & zs_tlout, & |
---|
| 3056 | & zrd_tlout, & |
---|
| 3057 | & zns, znt ) |
---|
| 3058 | |
---|
| 3059 | |
---|
| 3060 | END SUBROUTINE bn2_adj_tst |
---|
[2587] | 3061 | #if defined key_tst_tlm |
---|
[1885] | 3062 | SUBROUTINE eos_insitu_tlm_tst( kumadt ) |
---|
| 3063 | !!----------------------------------------------------------------------- |
---|
| 3064 | !! |
---|
| 3065 | !! *** ROUTINE eos_insitu_tlm_tst *** |
---|
| 3066 | !! |
---|
| 3067 | !! ** Purpose : Test the tangent routine. |
---|
| 3068 | !! |
---|
| 3069 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3070 | !! |
---|
| 3071 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3072 | !! |
---|
| 3073 | !! where L = tangent routine |
---|
| 3074 | !! M = direct routine |
---|
| 3075 | !! dx = input perturbation (random field) |
---|
| 3076 | !! h = ration on perturbation |
---|
| 3077 | !! |
---|
| 3078 | !! In the tangent test we verify that: |
---|
| 3079 | !! M(x+h*dx) - M(x) |
---|
| 3080 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3081 | !! L(h*dx) |
---|
| 3082 | !! and |
---|
| 3083 | !! g(h) - 1 |
---|
| 3084 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3085 | !! p |
---|
| 3086 | !! |
---|
| 3087 | !! History : |
---|
| 3088 | !! ! 09-08 (A. Vigilant) |
---|
| 3089 | !!----------------------------------------------------------------------- |
---|
| 3090 | !! * Modules used |
---|
| 3091 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3092 | & eos |
---|
| 3093 | USE tamtrj ! writing out state trajectory |
---|
| 3094 | USE par_tlm, ONLY: & |
---|
[2587] | 3095 | & tlm_bch, & |
---|
[1885] | 3096 | & cur_loop, & |
---|
| 3097 | & h_ratio |
---|
| 3098 | USE istate_mod |
---|
| 3099 | USE gridrandom, ONLY: & |
---|
| 3100 | & grid_rd_sd |
---|
| 3101 | USE trj_tam |
---|
| 3102 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3103 | & tn, sn, rhd, rhop |
---|
| 3104 | USE opatam_tst_ini, ONLY: & |
---|
| 3105 | & tlm_namrd |
---|
| 3106 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 3107 | & nitend, & |
---|
| 3108 | & nit000 |
---|
| 3109 | USE tamctl, ONLY: & ! Control parameters |
---|
| 3110 | & numtan, numtan_sc |
---|
| 3111 | !! * Arguments |
---|
| 3112 | INTEGER, INTENT(IN) :: & |
---|
| 3113 | & kumadt ! Output unit |
---|
| 3114 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3115 | & zrd_out, & ! |
---|
| 3116 | & zt_tlin , & ! |
---|
| 3117 | & zs_tlin , & |
---|
| 3118 | & zrd_tl , & |
---|
| 3119 | & zrd_wop, & |
---|
| 3120 | & z3r |
---|
| 3121 | REAL(KIND=wp) :: & |
---|
| 3122 | & zsp1, & |
---|
| 3123 | & zsp2, & |
---|
| 3124 | & zsp3, & |
---|
| 3125 | & zzsp, & |
---|
| 3126 | & gamma, & |
---|
| 3127 | & zgsp1, & |
---|
| 3128 | & zgsp2, & |
---|
| 3129 | & zgsp3, & |
---|
| 3130 | & zgsp4, & |
---|
| 3131 | & zgsp5, & |
---|
| 3132 | & zgsp6, & |
---|
| 3133 | & zgsp7 |
---|
| 3134 | INTEGER :: & |
---|
| 3135 | & ji, & |
---|
| 3136 | & jj, & |
---|
| 3137 | & jk |
---|
| 3138 | CHARACTER(LEN=14) :: cl_name |
---|
[2587] | 3139 | CHARACTER (LEN=128) :: file_out_sc, file_wop, file_out, file_xdx |
---|
[1885] | 3140 | CHARACTER (LEN=90) :: FMT |
---|
| 3141 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 3142 | & zscrd, zscerrrd |
---|
| 3143 | INTEGER, DIMENSION(100):: & |
---|
| 3144 | & iiposrd, ijposrd, ikposrd |
---|
| 3145 | INTEGER:: & |
---|
| 3146 | & ii, numsctlm, & |
---|
| 3147 | & numtlm, & |
---|
| 3148 | & isamp=40,jsamp=40, ksamp=10 |
---|
| 3149 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 3150 | & zerrrd |
---|
| 3151 | ALLOCATE( & |
---|
| 3152 | & zrd_out( jpi, jpj, jpk ), & |
---|
| 3153 | & zrd_tl( jpi, jpj, jpk ), & |
---|
| 3154 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 3155 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 3156 | & zrd_wop( jpi, jpj, jpk ), & |
---|
| 3157 | & z3r ( jpi, jpj, jpk ) ) |
---|
| 3158 | |
---|
| 3159 | !-------------------------------------------------------------------- |
---|
| 3160 | ! Reset the tangent and adjoint variables |
---|
| 3161 | !-------------------------------------------------------------------- |
---|
| 3162 | zt_tlin( :,:,:) = 0.0_wp |
---|
| 3163 | zs_tlin( :,:,:) = 0.0_wp |
---|
| 3164 | zrd_out( :,:,:) = 0.0_wp |
---|
| 3165 | zrd_wop( :,:,:) = 0.0_wp |
---|
| 3166 | zscerrrd(:) = 0.0_wp |
---|
| 3167 | zscrd(:) = 0.0_wp |
---|
[2587] | 3168 | IF ( tlm_bch == 2 ) zrd_tl ( :,:,:) = 0.0_wp |
---|
[1885] | 3169 | !-------------------------------------------------------------------- |
---|
| 3170 | ! Output filename Xn=F(X0) |
---|
| 3171 | !-------------------------------------------------------------------- |
---|
| 3172 | CALL tlm_namrd |
---|
| 3173 | gamma = h_ratio |
---|
[2587] | 3174 | file_wop='trj_wop_eos_insitu' |
---|
| 3175 | file_xdx='trj_xdx_eos_insitu' |
---|
[1885] | 3176 | !-------------------------------------------------------------------- |
---|
| 3177 | ! Initialize the tangent input with random noise: dx |
---|
| 3178 | !-------------------------------------------------------------------- |
---|
| 3179 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3180 | CALL grid_rd_sd( 596035, z3r, 'T', 0.0_wp, stdt) |
---|
| 3181 | DO jk = 1, jpk |
---|
| 3182 | DO jj = nldj, nlej |
---|
| 3183 | DO ji = nldi, nlei |
---|
| 3184 | zt_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3185 | END DO |
---|
| 3186 | END DO |
---|
| 3187 | END DO |
---|
| 3188 | CALL grid_rd_sd( 371836, z3r, 'S', 0.0_wp, stds) |
---|
| 3189 | DO jk = 1, jpk |
---|
| 3190 | DO jj = nldj, nlej |
---|
| 3191 | DO ji = nldi, nlei |
---|
| 3192 | zs_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3193 | END DO |
---|
| 3194 | END DO |
---|
| 3195 | END DO |
---|
| 3196 | ENDIF |
---|
| 3197 | |
---|
| 3198 | !-------------------------------------------------------------------- |
---|
| 3199 | ! Complete Init for Direct |
---|
| 3200 | !------------------------------------------------------------------- |
---|
[2587] | 3201 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
[1885] | 3202 | |
---|
| 3203 | ! *** initialize the reference trajectory |
---|
| 3204 | ! ------------ |
---|
| 3205 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3206 | CALL trj_rea( nit000, 1 ) |
---|
| 3207 | |
---|
| 3208 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3209 | zt_tlin(:,:,:) = gamma * zt_tlin(:,:,:) |
---|
| 3210 | tn(:,:,:) = tn(:,:,:) + zt_tlin(:,:,:) |
---|
| 3211 | |
---|
| 3212 | zs_tlin(:,:,:) = gamma * zs_tlin(:,:,:) |
---|
| 3213 | sn(:,:,:) = sn(:,:,:) + zs_tlin(:,:,:) |
---|
| 3214 | ENDIF |
---|
| 3215 | !-------------------------------------------------------------------- |
---|
| 3216 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 3217 | !-------------------------------------------------------------------- |
---|
[2587] | 3218 | IF ( tlm_bch /= 2 ) CALL eos(tn, sn, zrd_out) |
---|
[1885] | 3219 | rhd(:,:,:)= zrd_out(:,:,:) |
---|
[2587] | 3220 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 3221 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
[1885] | 3222 | !-------------------------------------------------------------------- |
---|
| 3223 | ! Compute the Tangent |
---|
| 3224 | !-------------------------------------------------------------------- |
---|
[2587] | 3225 | IF ( tlm_bch == 2 ) THEN |
---|
[1885] | 3226 | !-------------------------------------------------------------------- |
---|
| 3227 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 3228 | !-------------------------------------------------------------------- |
---|
| 3229 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3230 | CALL trj_rea( nit000, 1 ) |
---|
| 3231 | !----------------------------------------------------------------------- |
---|
| 3232 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 3233 | !----------------------------------------------------------------------- |
---|
| 3234 | CALL eos_insitu_tan(tn, sn, zt_tlin, zs_tlin, zrd_tl) |
---|
| 3235 | !-------------------------------------------------------------------- |
---|
| 3236 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 3237 | !-------------------------------------------------------------------- |
---|
| 3238 | zsp2 = DOT_PRODUCT( zrd_tl, zrd_tl ) |
---|
| 3239 | !-------------------------------------------------------------------- |
---|
| 3240 | ! Storing data |
---|
| 3241 | !-------------------------------------------------------------------- |
---|
| 3242 | CALL trj_rd_spl(file_wop) |
---|
| 3243 | zrd_wop (:,:,:) = rhd (:,:,:) |
---|
[2587] | 3244 | CALL trj_rd_spl(file_xdx) |
---|
| 3245 | zrd_out (:,:,:) = rhd (:,:,:) |
---|
[1885] | 3246 | !-------------------------------------------------------------------- |
---|
| 3247 | ! Compute the Linearization Error |
---|
| 3248 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 3249 | ! and |
---|
| 3250 | ! Compute the Linearization Error |
---|
| 3251 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 3252 | !-------------------------------------------------------------------- |
---|
| 3253 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 3254 | ii=0 |
---|
| 3255 | DO jk = 1, jpk |
---|
| 3256 | DO jj = 1, jpj |
---|
| 3257 | DO ji = 1, jpi |
---|
| 3258 | zrd_out (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_wop (ji,jj,jk) |
---|
| 3259 | zrd_wop (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_tl (ji,jj,jk) |
---|
| 3260 | IF ( zrd_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 3261 | & zerrrd(ji,jj,jk) = zrd_out(ji,jj,jk)/zrd_tl(ji,jj,jk) |
---|
| 3262 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3263 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 3264 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 3265 | ii = ii+1 |
---|
| 3266 | iiposrd(ii) = ji |
---|
| 3267 | ijposrd(ii) = jj |
---|
| 3268 | ikposrd(ii) = jk |
---|
| 3269 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 3270 | zscrd (ii) = zrd_wop(ji,jj,jk) |
---|
| 3271 | zscerrrd (ii) = ( zerrrd(ji,jj,jk) - 1.0_wp ) / gamma |
---|
| 3272 | ENDIF |
---|
| 3273 | ENDIF |
---|
| 3274 | END DO |
---|
| 3275 | END DO |
---|
| 3276 | END DO |
---|
| 3277 | |
---|
| 3278 | zsp1 = DOT_PRODUCT( zrd_out, zrd_out ) |
---|
| 3279 | zsp3 = DOT_PRODUCT( zrd_wop, zrd_wop ) |
---|
| 3280 | |
---|
| 3281 | !-------------------------------------------------------------------- |
---|
| 3282 | ! Print the linearization error En - norme 2 |
---|
| 3283 | !-------------------------------------------------------------------- |
---|
| 3284 | ! 14 char:'12345678901234' |
---|
| 3285 | cl_name = 'eos_insitu:En ' |
---|
| 3286 | zzsp = SQRT(zsp3) |
---|
| 3287 | zgsp5 = zzsp |
---|
| 3288 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3289 | !-------------------------------------------------------------------- |
---|
| 3290 | ! Compute TLM norm2 |
---|
| 3291 | !-------------------------------------------------------------------- |
---|
| 3292 | zzsp = SQRT(zsp2) |
---|
| 3293 | zgsp4 = zzsp |
---|
| 3294 | cl_name = 'eos_insitu:Ln2' |
---|
| 3295 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3296 | !-------------------------------------------------------------------- |
---|
| 3297 | ! Print the linearization error Nn - norme 2 |
---|
| 3298 | !-------------------------------------------------------------------- |
---|
| 3299 | zzsp = SQRT(zsp1) |
---|
| 3300 | cl_name = 'eosins:Mhdx-Mx' |
---|
| 3301 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3302 | |
---|
| 3303 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 3304 | zgsp7 = zgsp3/gamma |
---|
| 3305 | zgsp1 = zzsp |
---|
| 3306 | zgsp2 = zgsp1 / zgsp4 |
---|
| 3307 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 3308 | |
---|
| 3309 | 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)" |
---|
| 3310 | WRITE(numtan,FMT) 'eosinsit', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 3311 | |
---|
| 3312 | !-------------------------------------------------------------------- |
---|
| 3313 | ! Unitary calculus |
---|
| 3314 | !-------------------------------------------------------------------- |
---|
| 3315 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 3316 | cl_name = 'eosinsit' |
---|
| 3317 | IF(lwp) THEN |
---|
| 3318 | DO ii=1, 100, 1 |
---|
| 3319 | IF ( zscrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrd ', & |
---|
| 3320 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscrd(ii) |
---|
| 3321 | ENDDO |
---|
| 3322 | DO ii=1, 100, 1 |
---|
| 3323 | IF ( zscerrrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrd', & |
---|
| 3324 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscerrrd(ii) |
---|
| 3325 | ENDDO |
---|
| 3326 | ! write separator |
---|
| 3327 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 3328 | ENDIF |
---|
| 3329 | |
---|
| 3330 | ENDIF |
---|
| 3331 | |
---|
| 3332 | DEALLOCATE( & |
---|
| 3333 | & zrd_out, zrd_tl, zrd_wop, & |
---|
| 3334 | & zt_tlin, zs_tlin, z3r & |
---|
| 3335 | & ) |
---|
| 3336 | END SUBROUTINE eos_insitu_tlm_tst |
---|
| 3337 | |
---|
| 3338 | SUBROUTINE eos_insitu_pot_tlm_tst( kumadt ) |
---|
| 3339 | !!----------------------------------------------------------------------- |
---|
| 3340 | !! |
---|
| 3341 | !! *** ROUTINE eos_insitu_pot_tlm_tst *** |
---|
| 3342 | !! |
---|
| 3343 | !! ** Purpose : Test the tangent routine. |
---|
| 3344 | !! |
---|
| 3345 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3346 | !! |
---|
| 3347 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3348 | !! |
---|
| 3349 | !! where L = tangent routine |
---|
| 3350 | !! M = direct routine |
---|
| 3351 | !! dx = input perturbation (random field) |
---|
| 3352 | !! h = ration on perturbation |
---|
| 3353 | !! |
---|
| 3354 | !! In the tangent test we verify that: |
---|
| 3355 | !! M(x+h*dx) - M(x) |
---|
| 3356 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3357 | !! L(h*dx) |
---|
| 3358 | !! and |
---|
| 3359 | !! g(h) - 1 |
---|
| 3360 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3361 | !! p |
---|
| 3362 | !! |
---|
| 3363 | !! History : |
---|
| 3364 | !! ! 09-08 (A. Vigilant) |
---|
| 3365 | !!----------------------------------------------------------------------- |
---|
| 3366 | !! * Modules used |
---|
| 3367 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3368 | & eos |
---|
| 3369 | USE tamtrj ! writing out state trajectory |
---|
| 3370 | USE par_tlm, ONLY: & |
---|
[2587] | 3371 | & tlm_bch, & |
---|
[1885] | 3372 | & cur_loop, & |
---|
| 3373 | & h_ratio |
---|
| 3374 | USE istate_mod |
---|
| 3375 | USE gridrandom, ONLY: & |
---|
| 3376 | & grid_rd_sd |
---|
| 3377 | USE trj_tam |
---|
| 3378 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3379 | & tn, sn, rhd, rhop |
---|
| 3380 | USE opatam_tst_ini, ONLY: & |
---|
| 3381 | & tlm_namrd |
---|
| 3382 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 3383 | & nitend, & |
---|
| 3384 | & nit000 |
---|
| 3385 | USE tamctl, ONLY: & ! Control parameters |
---|
| 3386 | & numtan, numtan_sc |
---|
| 3387 | !! * Arguments |
---|
| 3388 | INTEGER, INTENT(IN) :: & |
---|
| 3389 | & kumadt ! Output unit |
---|
| 3390 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 3391 | & zrd_out, & ! |
---|
| 3392 | & zrh_out, & |
---|
| 3393 | & zt_tlin , & ! |
---|
| 3394 | & zs_tlin , & |
---|
| 3395 | & zrh_tl , & |
---|
| 3396 | & zrd_tl , & |
---|
| 3397 | & zrd_wop , & |
---|
| 3398 | & zrh_wop , & |
---|
| 3399 | & z3r |
---|
| 3400 | REAL(KIND=wp) :: & |
---|
| 3401 | & zsp1, & |
---|
| 3402 | & zsp2, & |
---|
| 3403 | & zsp3, & |
---|
| 3404 | & zsp1_Rd, Zsp1_Rh, & |
---|
| 3405 | & zsp2_Rd, zsp2_Rh, & |
---|
| 3406 | & zsp3_Rd, zsp3_Rh, & |
---|
| 3407 | & zzsp, & |
---|
| 3408 | & gamma, & |
---|
| 3409 | & zgsp1, & |
---|
| 3410 | & zgsp2, & |
---|
| 3411 | & zgsp3, & |
---|
| 3412 | & zgsp4, & |
---|
| 3413 | & zgsp5, & |
---|
| 3414 | & zgsp6, & |
---|
| 3415 | & zgsp7 |
---|
| 3416 | INTEGER :: & |
---|
| 3417 | & ji, & |
---|
| 3418 | & jj, & |
---|
| 3419 | & jk |
---|
| 3420 | CHARACTER(LEN=14) :: cl_name |
---|
[2587] | 3421 | CHARACTER (LEN=128) :: file_out, file_wop,file_xdx |
---|
[1885] | 3422 | CHARACTER (LEN=90) :: FMT |
---|
| 3423 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 3424 | & zscrd, zscerrrd, & |
---|
| 3425 | & zscrh, zscerrrh |
---|
| 3426 | INTEGER, DIMENSION(100):: & |
---|
| 3427 | & iiposrd, ijposrd, ikposrd, & |
---|
| 3428 | & iiposrh, ijposrh, ikposrh |
---|
| 3429 | INTEGER:: & |
---|
| 3430 | & ii, numsctlm, & |
---|
| 3431 | & isamp=40,jsamp=40, ksamp=10 |
---|
| 3432 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 3433 | & zerrrd, zerrrh |
---|
| 3434 | ALLOCATE( & |
---|
| 3435 | & zrd_out( jpi, jpj, jpk ), & |
---|
| 3436 | & zrh_out( jpi, jpj, jpk ), & |
---|
| 3437 | & zrd_tl( jpi, jpj, jpk ), & |
---|
| 3438 | & zrh_tl( jpi, jpj, jpk ), & |
---|
| 3439 | & zs_tlin( jpi, jpj, jpk ), & |
---|
| 3440 | & zt_tlin( jpi, jpj, jpk ), & |
---|
| 3441 | & zrd_wop( jpi, jpj, jpk ), & |
---|
| 3442 | & zrh_wop( jpi, jpj, jpk ), & |
---|
| 3443 | & z3r ( jpi, jpj, jpk ) ) |
---|
| 3444 | |
---|
| 3445 | !-------------------------------------------------------------------- |
---|
| 3446 | ! Reset the tangent and adjoint variables |
---|
| 3447 | !-------------------------------------------------------------------- |
---|
| 3448 | zt_tlin( :,:,:) = 0.0_wp |
---|
| 3449 | zs_tlin( :,:,:) = 0.0_wp |
---|
| 3450 | zrd_out( :,:,:) = 0.0_wp |
---|
| 3451 | zrh_out( :,:,:) = 0.0_wp |
---|
| 3452 | zrd_wop( :,:,:) = 0.0_wp |
---|
| 3453 | zrh_wop( :,:,:) = 0.0_wp |
---|
| 3454 | zscerrrd( :) = 0.0_wp |
---|
| 3455 | zscerrrh( :) = 0.0_wp |
---|
| 3456 | zscrd(:) = 0.0_wp |
---|
| 3457 | zscrh(:) = 0.0_wp |
---|
[2587] | 3458 | IF ( tlm_bch == 2 ) THEN |
---|
| 3459 | zrd_tl ( :,:,:) = 0.0_wp |
---|
| 3460 | zrh_tl ( :,:,:) = 0.0_wp |
---|
| 3461 | ENDIF |
---|
[1885] | 3462 | !-------------------------------------------------------------------- |
---|
| 3463 | ! Output filename Xn=F(X0) |
---|
| 3464 | !-------------------------------------------------------------------- |
---|
| 3465 | CALL tlm_namrd |
---|
| 3466 | gamma = h_ratio |
---|
[2587] | 3467 | file_wop='trj_wop_eos_pot' |
---|
| 3468 | file_xdx='trj_xdx_eos_pot' |
---|
[1885] | 3469 | !-------------------------------------------------------------------- |
---|
| 3470 | ! Initialize the tangent input with random noise: dx |
---|
| 3471 | !-------------------------------------------------------------------- |
---|
| 3472 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3473 | CALL grid_rd_sd( 596035, z3r, 'T', 0.0_wp, stdt) |
---|
| 3474 | DO jk = 1, jpk |
---|
| 3475 | DO jj = nldj, nlej |
---|
| 3476 | DO ji = nldi, nlei |
---|
| 3477 | zt_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3478 | END DO |
---|
| 3479 | END DO |
---|
| 3480 | END DO |
---|
| 3481 | CALL grid_rd_sd( 371836, z3r, 'S', 0.0_wp, stds) |
---|
| 3482 | DO jk = 1, jpk |
---|
| 3483 | DO jj = nldj, nlej |
---|
| 3484 | DO ji = nldi, nlei |
---|
| 3485 | zs_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 3486 | END DO |
---|
| 3487 | END DO |
---|
| 3488 | END DO |
---|
| 3489 | ENDIF |
---|
| 3490 | !-------------------------------------------------------------------- |
---|
| 3491 | ! Complete Init for Direct |
---|
| 3492 | !------------------------------------------------------------------- |
---|
[2587] | 3493 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
[1885] | 3494 | |
---|
| 3495 | ! *** initialize the reference trajectory |
---|
| 3496 | ! ------------ |
---|
| 3497 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3498 | CALL trj_rea( nit000, 1 ) |
---|
| 3499 | |
---|
| 3500 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3501 | zt_tlin(:,:,:) = gamma * zt_tlin(:,:,:) |
---|
| 3502 | tn(:,:,:) = tn(:,:,:) + zt_tlin(:,:,:) |
---|
| 3503 | |
---|
| 3504 | zs_tlin(:,:,:) = gamma * zs_tlin(:,:,:) |
---|
| 3505 | sn(:,:,:) = sn(:,:,:) + zs_tlin(:,:,:) |
---|
| 3506 | ENDIF |
---|
| 3507 | !-------------------------------------------------------------------- |
---|
| 3508 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 3509 | !-------------------------------------------------------------------- |
---|
[2587] | 3510 | IF ( tlm_bch /= 2 ) CALL eos(tn, sn, zrd_out, zrh_out) |
---|
[1885] | 3511 | rhd (:,:,:) = zrd_out(:,:,:) |
---|
| 3512 | rhop(:,:,:) = zrh_out(:,:,:) |
---|
[2587] | 3513 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 3514 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
[1885] | 3515 | !-------------------------------------------------------------------- |
---|
| 3516 | ! Compute the Tangent |
---|
| 3517 | !-------------------------------------------------------------------- |
---|
[2587] | 3518 | IF ( tlm_bch == 2 ) THEN |
---|
[1885] | 3519 | !-------------------------------------------------------------------- |
---|
| 3520 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 3521 | !-------------------------------------------------------------------- |
---|
| 3522 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3523 | CALL trj_rea( nit000, 1 ) |
---|
| 3524 | !----------------------------------------------------------------------- |
---|
| 3525 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 3526 | !----------------------------------------------------------------------- |
---|
| 3527 | CALL eos_insitu_pot_tan(tn, sn, zt_tlin, zs_tlin, zrd_tl, zrh_tl) |
---|
| 3528 | !-------------------------------------------------------------------- |
---|
| 3529 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 3530 | !-------------------------------------------------------------------- |
---|
| 3531 | |
---|
| 3532 | zsp2_Rd = DOT_PRODUCT( zrd_tl, zrd_tl ) |
---|
| 3533 | zsp2_Rh = DOT_PRODUCT( zrh_tl, zrh_tl ) |
---|
| 3534 | zsp2 = zsp2_Rd + zsp2_Rh |
---|
| 3535 | !-------------------------------------------------------------------- |
---|
| 3536 | ! Storing data |
---|
| 3537 | !-------------------------------------------------------------------- |
---|
| 3538 | CALL trj_rd_spl(file_wop) |
---|
| 3539 | zrd_wop (:,:,:) = rhd (:,:,:) |
---|
| 3540 | zrh_wop (:,:,:) = rhop (:,:,:) |
---|
[2587] | 3541 | CALL trj_rd_spl(file_xdx) |
---|
| 3542 | zrd_out (:,:,:) = rhd (:,:,:) |
---|
| 3543 | zrh_out (:,:,:) = rhop (:,:,:) |
---|
[1885] | 3544 | !-------------------------------------------------------------------- |
---|
| 3545 | ! Compute the Linearization Error |
---|
| 3546 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 3547 | ! and |
---|
| 3548 | ! Compute the Linearization Error |
---|
| 3549 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 3550 | !-------------------------------------------------------------------- |
---|
| 3551 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 3552 | ii=0 |
---|
| 3553 | DO jk = 1, jpk |
---|
| 3554 | DO jj = 1, jpj |
---|
| 3555 | DO ji = 1, jpi |
---|
| 3556 | zrd_out (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_wop (ji,jj,jk) |
---|
| 3557 | zrd_wop (ji,jj,jk) = zrd_out (ji,jj,jk) - zrd_tl (ji,jj,jk) |
---|
| 3558 | IF ( zrd_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 3559 | & zerrrd(ji,jj,jk) = zrd_out(ji,jj,jk)/zrd_tl(ji,jj,jk) |
---|
| 3560 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3561 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 3562 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 3563 | ii = ii+1 |
---|
| 3564 | iiposrd(ii) = ji |
---|
| 3565 | ijposrd(ii) = jj |
---|
| 3566 | ikposrd(ii) = jk |
---|
| 3567 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 3568 | zscrd (ii) = zrd_wop(ji,jj,jk) |
---|
| 3569 | zscerrrd (ii) = ( zerrrd( ji,jj,jk) - 1.0_wp ) / gamma |
---|
| 3570 | ENDIF |
---|
| 3571 | ENDIF |
---|
| 3572 | END DO |
---|
| 3573 | END DO |
---|
| 3574 | END DO |
---|
| 3575 | ii=0 |
---|
| 3576 | DO jk = 1, jpk |
---|
| 3577 | DO jj = 1, jpj |
---|
| 3578 | DO ji = 1, jpi |
---|
| 3579 | zrh_out (ji,jj,jk) = zrh_out (ji,jj,jk) - zrh_wop (ji,jj,jk) |
---|
| 3580 | zrh_wop (ji,jj,jk) = zrh_out (ji,jj,jk) - zrh_tl (ji,jj,jk) |
---|
| 3581 | IF ( zrh_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 3582 | & zerrrh(ji,jj,jk) = zrh_out(ji,jj,jk)/zrh_tl(ji,jj,jk) |
---|
| 3583 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3584 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 3585 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 3586 | ii = ii+1 |
---|
| 3587 | iiposrh(ii) = ji |
---|
| 3588 | ijposrh(ii) = jj |
---|
| 3589 | ikposrh(ii) = jk |
---|
| 3590 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 3591 | zscrh (ii) = zrh_wop(ji,jj,jk) |
---|
| 3592 | zscerrrh (ii) = ( zerrrh( ji,jj,jk) - 1.0_wp ) /gamma |
---|
| 3593 | ENDIF |
---|
| 3594 | ENDIF |
---|
| 3595 | END DO |
---|
| 3596 | END DO |
---|
| 3597 | END DO |
---|
| 3598 | zsp1_Rd = DOT_PRODUCT( zrd_out, zrd_out ) |
---|
| 3599 | zsp1_Rh = DOT_PRODUCT( zrh_out, zrh_out ) |
---|
| 3600 | zsp1 = zsp1_Rd + zsp1_Rh |
---|
| 3601 | |
---|
| 3602 | zsp3_Rd = DOT_PRODUCT( zrd_wop, zrd_wop ) |
---|
| 3603 | zsp3_Rh = DOT_PRODUCT( zrh_wop, zrh_wop ) |
---|
| 3604 | zsp3 = zsp3_Rd + zsp3_Rh |
---|
| 3605 | !-------------------------------------------------------------------- |
---|
| 3606 | ! Print the linearization error En - norme 2 |
---|
| 3607 | !-------------------------------------------------------------------- |
---|
| 3608 | ! 14 char:'12345678901234' |
---|
| 3609 | cl_name = 'eos_pot:En ' |
---|
| 3610 | zzsp = SQRT(zsp3) |
---|
| 3611 | zgsp5 = zzsp |
---|
| 3612 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3613 | !-------------------------------------------------------------------- |
---|
| 3614 | ! Compute TLM norm2 |
---|
| 3615 | !-------------------------------------------------------------------- |
---|
| 3616 | zzsp = SQRT(zsp2) |
---|
| 3617 | zgsp4 = zzsp |
---|
| 3618 | cl_name = 'eos_pot:Ln2' |
---|
| 3619 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3620 | !-------------------------------------------------------------------- |
---|
| 3621 | ! Print the linearization error Nn - norme 2 |
---|
| 3622 | !-------------------------------------------------------------------- |
---|
| 3623 | zzsp = SQRT(zsp1) |
---|
| 3624 | cl_name = 'eospot:Mhdx-Mx' |
---|
| 3625 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3626 | |
---|
| 3627 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 3628 | zgsp7 = zgsp3/gamma |
---|
| 3629 | zgsp1 = zzsp |
---|
| 3630 | zgsp2 = zgsp1 / zgsp4 |
---|
| 3631 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 3632 | |
---|
| 3633 | 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)" |
---|
| 3634 | WRITE(numtan,FMT) 'eosinsp ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 3635 | !-------------------------------------------------------------------- |
---|
| 3636 | ! Unitary calculus |
---|
| 3637 | !-------------------------------------------------------------------- |
---|
| 3638 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 3639 | cl_name = 'eosinsp ' |
---|
| 3640 | IF(lwp) THEN |
---|
| 3641 | DO ii=1, 100, 1 |
---|
| 3642 | IF ( zscrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrd ', & |
---|
| 3643 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscrd(ii) |
---|
| 3644 | ENDDO |
---|
| 3645 | DO ii=1, 100, 1 |
---|
| 3646 | IF ( zscrh(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrh ', & |
---|
| 3647 | & cur_loop, h_ratio, iiposrh(ii), ijposrh(ii), ikposrh(ii), zscrh(ii) |
---|
| 3648 | ENDDO |
---|
| 3649 | DO ii=1, 100, 1 |
---|
| 3650 | IF ( zscerrrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrd', & |
---|
| 3651 | & cur_loop, h_ratio, iiposrd(ii), ijposrd(ii), ikposrd(ii), zscerrrd(ii) |
---|
| 3652 | ENDDO |
---|
| 3653 | DO ii=1, 100, 1 |
---|
| 3654 | IF ( zscerrrh(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrh', & |
---|
| 3655 | & cur_loop, h_ratio, iiposrh(ii), ijposrh(ii), ikposrh(ii), zscerrrh(ii) |
---|
| 3656 | ENDDO |
---|
| 3657 | ! write separator |
---|
| 3658 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 3659 | ENDIF |
---|
| 3660 | ENDIF |
---|
| 3661 | |
---|
| 3662 | DEALLOCATE( & |
---|
| 3663 | & zrd_out, zrd_tl, zrd_wop, & |
---|
| 3664 | & zrh_out, zrh_tl, zrh_wop, & |
---|
| 3665 | & zt_tlin, zs_tlin, z3r & |
---|
| 3666 | & ) |
---|
| 3667 | END SUBROUTINE eos_insitu_pot_tlm_tst |
---|
| 3668 | |
---|
| 3669 | SUBROUTINE eos_insitu_2d_tlm_tst( kumadt ) |
---|
| 3670 | !!----------------------------------------------------------------------- |
---|
| 3671 | !! |
---|
| 3672 | !! *** ROUTINE eos_insitu_2d_tlm_tst *** |
---|
| 3673 | !! |
---|
| 3674 | !! ** Purpose : Test the tangent routine. |
---|
| 3675 | !! |
---|
| 3676 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3677 | !! |
---|
| 3678 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3679 | !! |
---|
| 3680 | !! where L = tangent routine |
---|
| 3681 | !! M = direct routine |
---|
| 3682 | !! dx = input perturbation (random field) |
---|
| 3683 | !! h = ration on perturbation |
---|
| 3684 | !! |
---|
| 3685 | !! In the tangent test we verify that: |
---|
| 3686 | !! M(x+h*dx) - M(x) |
---|
| 3687 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3688 | !! L(h*dx) |
---|
| 3689 | !! and |
---|
| 3690 | !! g(h) - 1 |
---|
| 3691 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3692 | !! p |
---|
| 3693 | !! |
---|
| 3694 | !! History : |
---|
| 3695 | !! ! 09-08 (A. Vigilant) |
---|
| 3696 | !!----------------------------------------------------------------------- |
---|
| 3697 | !! * Modules used |
---|
| 3698 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3699 | & eos |
---|
| 3700 | USE tamtrj ! writing out state trajectory |
---|
| 3701 | USE par_tlm, ONLY: & |
---|
[2587] | 3702 | & tlm_bch, & |
---|
[1885] | 3703 | & cur_loop, & |
---|
| 3704 | & h_ratio |
---|
| 3705 | USE istate_mod |
---|
| 3706 | USE gridrandom, ONLY: & |
---|
| 3707 | & grid_rd_sd |
---|
| 3708 | USE trj_tam |
---|
| 3709 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3710 | & tn, sn, rhd, rhop |
---|
| 3711 | USE opatam_tst_ini, ONLY: & |
---|
| 3712 | & tlm_namrd |
---|
| 3713 | USE in_out_manager, ONLY: & ! I/O manager |
---|
| 3714 | & nitend, & |
---|
| 3715 | & nit000 |
---|
| 3716 | USE tamctl, ONLY: & ! Control parameters |
---|
| 3717 | & numtan, numtan_sc |
---|
| 3718 | !! * Arguments |
---|
| 3719 | INTEGER, INTENT(IN) :: & |
---|
| 3720 | & kumadt ! Output unit |
---|
| 3721 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 3722 | & zdep, & ! depth |
---|
| 3723 | & ztem, & ! potential temperature |
---|
| 3724 | & zsal ! salinity |
---|
| 3725 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
---|
| 3726 | & zrd_out, & ! |
---|
| 3727 | & zt_tlin , & ! |
---|
| 3728 | & zs_tlin , & |
---|
| 3729 | & zrd_tl , & |
---|
| 3730 | & zrd_wop , & |
---|
| 3731 | & z2r |
---|
| 3732 | REAL(KIND=wp) :: & |
---|
| 3733 | & zsp1, & |
---|
| 3734 | & zsp2, & |
---|
| 3735 | & zsp3, & |
---|
| 3736 | & zzsp, & |
---|
| 3737 | & gamma, & |
---|
| 3738 | & zgsp1, & |
---|
| 3739 | & zgsp2, & |
---|
| 3740 | & zgsp3, & |
---|
| 3741 | & zgsp4, & |
---|
| 3742 | & zgsp5, & |
---|
| 3743 | & zgsp6, & |
---|
| 3744 | & zgsp7 |
---|
| 3745 | INTEGER :: & |
---|
| 3746 | & ji, & |
---|
| 3747 | & jj |
---|
| 3748 | CHARACTER(LEN=14) :: cl_name |
---|
[2587] | 3749 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
---|
[1885] | 3750 | CHARACTER (LEN=90) :: FMT |
---|
| 3751 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 3752 | & zscrd, zscerrrd |
---|
| 3753 | INTEGER, DIMENSION(100):: & |
---|
| 3754 | & iiposrd, ijposrd |
---|
| 3755 | INTEGER:: & |
---|
| 3756 | & ii, numsctlm, & |
---|
| 3757 | & isamp=40,jsamp=40 |
---|
| 3758 | REAL(KIND=wp), DIMENSION(jpi,jpj) :: & |
---|
| 3759 | & zerrrd |
---|
| 3760 | ALLOCATE( & |
---|
| 3761 | & ztem ( jpi, jpj ), & |
---|
| 3762 | & zsal ( jpi, jpj ), & |
---|
| 3763 | & zdep ( jpi, jpj ), & |
---|
| 3764 | & zrd_out( jpi, jpj ), & |
---|
| 3765 | & zrd_tl( jpi, jpj ), & |
---|
| 3766 | & zs_tlin( jpi, jpj ), & |
---|
| 3767 | & zt_tlin( jpi, jpj ), & |
---|
| 3768 | & zrd_wop( jpi, jpj ), & |
---|
| 3769 | & z2r ( jpi, jpj ) ) |
---|
| 3770 | |
---|
| 3771 | !-------------------------------------------------------------------- |
---|
| 3772 | ! Reset the tangent and adjoint variables |
---|
| 3773 | !-------------------------------------------------------------------- |
---|
| 3774 | ztem ( :,:) = 0.0_wp |
---|
| 3775 | zsal ( :,:) = 0.0_wp |
---|
| 3776 | zt_tlin( :,:) = 0.0_wp |
---|
| 3777 | zs_tlin( :,:) = 0.0_wp |
---|
| 3778 | zrd_out( :,:) = 0.0_wp |
---|
| 3779 | zrd_wop( :,:) = 0.0_wp |
---|
| 3780 | zscerrrd( :) = 0.0_wp |
---|
| 3781 | zscrd(:) = 0.0_wp |
---|
[2587] | 3782 | IF ( tlm_bch == 2 ) zrd_tl ( :,:) = 0.0_wp |
---|
[1885] | 3783 | !-------------------------------------------------------------------- |
---|
| 3784 | ! Output filename Xn=F(X0) |
---|
| 3785 | !-------------------------------------------------------------------- |
---|
| 3786 | CALL tlm_namrd |
---|
| 3787 | gamma = h_ratio |
---|
[2587] | 3788 | file_wop='trj_wop_eos_2d' |
---|
| 3789 | file_xdx='trj_xdx_eos_2d' |
---|
[1885] | 3790 | !-------------------------------------------------------------------- |
---|
| 3791 | ! Initialize the tangent input with random noise: dx |
---|
| 3792 | !-------------------------------------------------------------------- |
---|
| 3793 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3794 | CALL grid_rd_sd( 596035, z2r, 'T', 0.0_wp, stdt) |
---|
| 3795 | DO jj = nldj, nlej |
---|
| 3796 | DO ji = nldi, nlei |
---|
| 3797 | zt_tlin(ji,jj) = z2r(ji,jj) |
---|
| 3798 | END DO |
---|
| 3799 | END DO |
---|
| 3800 | CALL grid_rd_sd( 371836, z2r, 'S', 0.0_wp, stds) |
---|
| 3801 | DO jj = nldj, nlej |
---|
| 3802 | DO ji = nldi, nlei |
---|
| 3803 | zs_tlin(ji,jj) = z2r(ji,jj) |
---|
| 3804 | END DO |
---|
| 3805 | END DO |
---|
| 3806 | ENDIF |
---|
| 3807 | |
---|
| 3808 | !-------------------------------------------------------------------- |
---|
| 3809 | ! Complete Init for Direct |
---|
| 3810 | !------------------------------------------------------------------- |
---|
[2587] | 3811 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
[1885] | 3812 | ! *** initialize the reference trajectory |
---|
| 3813 | ! ------------ |
---|
| 3814 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3815 | CALL trj_rea( nit000, 1 ) |
---|
| 3816 | ! Initialize the reference state |
---|
| 3817 | ztem(:,:) = tn(:,:,2) |
---|
| 3818 | zsal(:,:) = sn(:,:,2) |
---|
| 3819 | zdep(:,:) = fsdept(:,:,2) |
---|
| 3820 | |
---|
| 3821 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 3822 | zt_tlin(:,:) = gamma * zt_tlin(:,:) |
---|
| 3823 | ztem(:,:) = ztem(:,:) + zt_tlin(:,:) |
---|
| 3824 | |
---|
| 3825 | zs_tlin(:,:) = gamma * zs_tlin(:,:) |
---|
| 3826 | zsal(:,:) = zsal(:,:) + zs_tlin(:,:) |
---|
| 3827 | ENDIF |
---|
| 3828 | !-------------------------------------------------------------------- |
---|
| 3829 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 3830 | !-------------------------------------------------------------------- |
---|
[2587] | 3831 | IF ( tlm_bch /= 2 ) CALL eos(ztem, zsal, zdep, zrd_out) |
---|
[1885] | 3832 | rhd (:,:,2) = zrd_out(:,:) |
---|
[2587] | 3833 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 3834 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
[1885] | 3835 | !-------------------------------------------------------------------- |
---|
| 3836 | ! Compute the Tangent |
---|
| 3837 | !-------------------------------------------------------------------- |
---|
[2587] | 3838 | IF ( tlm_bch == 2 ) THEN |
---|
[1885] | 3839 | !-------------------------------------------------------------------- |
---|
| 3840 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 3841 | !-------------------------------------------------------------------- |
---|
| 3842 | CALL trj_rea( nit000-1, 1 ) |
---|
| 3843 | CALL trj_rea( nit000, 1 ) |
---|
| 3844 | ztem(:,:) = tn(:,:,2) |
---|
| 3845 | zsal(:,:) = sn(:,:,2) |
---|
| 3846 | !----------------------------------------------------------------------- |
---|
| 3847 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 3848 | !----------------------------------------------------------------------- |
---|
| 3849 | CALL eos_insitu_2d_tan(ztem, zsal, zdep, zt_tlin, zs_tlin, zrd_tl) |
---|
| 3850 | !-------------------------------------------------------------------- |
---|
| 3851 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 3852 | !-------------------------------------------------------------------- |
---|
| 3853 | zsp2 = DOT_PRODUCT( zrd_tl, zrd_tl ) |
---|
| 3854 | !-------------------------------------------------------------------- |
---|
| 3855 | ! Storing data |
---|
| 3856 | !-------------------------------------------------------------------- |
---|
| 3857 | CALL trj_rd_spl(file_wop) |
---|
| 3858 | zrd_wop (:,:) = rhd (:,:,2) |
---|
[2587] | 3859 | CALL trj_rd_spl(file_xdx) |
---|
| 3860 | zrd_out (:,:) = rhd (:,:,2) |
---|
[1885] | 3861 | !-------------------------------------------------------------------- |
---|
| 3862 | ! Compute the Linearization Error |
---|
| 3863 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 3864 | ! and |
---|
| 3865 | ! Compute the Linearization Error |
---|
| 3866 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 3867 | !-------------------------------------------------------------------- |
---|
| 3868 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 3869 | ii=0 |
---|
| 3870 | DO jj = 1, jpj |
---|
| 3871 | DO ji = 1, jpi |
---|
| 3872 | zrd_out (ji,jj) = zrd_out (ji,jj) - zrd_wop (ji,jj) |
---|
| 3873 | zrd_wop (ji,jj) = zrd_out (ji,jj) - zrd_tl (ji,jj) |
---|
| 3874 | IF ( zrd_tl(ji,jj) .NE. 0.0_wp ) & |
---|
| 3875 | & zerrrd(ji,jj) = zrd_out(ji,jj)/zrd_tl(ji,jj) |
---|
| 3876 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 3877 | & (MOD(jj, jsamp) .EQ. 0) ) THEN |
---|
| 3878 | ii = ii+1 |
---|
| 3879 | iiposrd(ii) = ji |
---|
| 3880 | ijposrd(ii) = jj |
---|
| 3881 | IF ( INT(tmask(ji,jj,2)) .NE. 0) THEN |
---|
| 3882 | zscrd (ii) = zrd_wop(ji,jj) |
---|
| 3883 | zscerrrd (ii) = ( zerrrd( ji,jj) - 1.0_wp ) / gamma |
---|
| 3884 | ENDIF |
---|
| 3885 | ENDIF |
---|
| 3886 | END DO |
---|
| 3887 | END DO |
---|
| 3888 | |
---|
| 3889 | zsp1 = DOT_PRODUCT( zrd_out, zrd_out ) |
---|
| 3890 | |
---|
| 3891 | zsp3 = DOT_PRODUCT( zrd_wop, zrd_wop ) |
---|
| 3892 | !-------------------------------------------------------------------- |
---|
| 3893 | ! Print the linearization error En - norme 2 |
---|
| 3894 | !-------------------------------------------------------------------- |
---|
| 3895 | ! 14 char:'12345678901234' |
---|
| 3896 | cl_name = 'eos_2d:En ' |
---|
| 3897 | zzsp = SQRT(zsp3) |
---|
| 3898 | zgsp5 = zzsp |
---|
| 3899 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3900 | !-------------------------------------------------------------------- |
---|
| 3901 | ! Compute TLM norm2 |
---|
| 3902 | !-------------------------------------------------------------------- |
---|
| 3903 | zzsp = SQRT(zsp2) |
---|
| 3904 | zgsp4 = zzsp |
---|
| 3905 | cl_name = 'eos_2d:Ln2' |
---|
| 3906 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3907 | !-------------------------------------------------------------------- |
---|
| 3908 | ! Print the linearization error Nn - norme 2 |
---|
| 3909 | !-------------------------------------------------------------------- |
---|
| 3910 | zzsp = SQRT(zsp1) |
---|
| 3911 | cl_name = 'eos_2d:Mhdx-Mx' |
---|
| 3912 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 3913 | |
---|
| 3914 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 3915 | zgsp7 = zgsp3/gamma |
---|
| 3916 | zgsp1 = zzsp |
---|
| 3917 | zgsp2 = zgsp1 / zgsp4 |
---|
| 3918 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 3919 | |
---|
| 3920 | 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)" |
---|
| 3921 | WRITE(numtan,FMT) 'eosins2d', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 3922 | !-------------------------------------------------------------------- |
---|
| 3923 | ! Unitary calculus |
---|
| 3924 | !-------------------------------------------------------------------- |
---|
| 3925 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 3926 | cl_name = 'eosins2d' |
---|
| 3927 | IF(lwp) THEN |
---|
| 3928 | DO ii=1, 100, 1 |
---|
| 3929 | IF ( zscrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrd ', & |
---|
| 3930 | & cur_loop, h_ratio, ii, iiposrd(ii), ijposrd(ii), zscrd(ii) |
---|
| 3931 | ENDDO |
---|
| 3932 | DO ii=1, 100, 1 |
---|
| 3933 | IF ( zscerrrd(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrrd', & |
---|
| 3934 | & cur_loop, h_ratio, ii, iiposrd(ii), ijposrd(ii), zscerrrd(ii) |
---|
| 3935 | ENDDO |
---|
| 3936 | ! write separator |
---|
| 3937 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 3938 | ENDIF |
---|
| 3939 | |
---|
| 3940 | ENDIF |
---|
| 3941 | |
---|
| 3942 | DEALLOCATE( & |
---|
| 3943 | & zrd_out, zrd_tl, zrd_wop, & |
---|
| 3944 | & ztem, zsal, zdep, & |
---|
| 3945 | & zt_tlin, zs_tlin, z2r & |
---|
| 3946 | & ) |
---|
| 3947 | END SUBROUTINE eos_insitu_2d_tlm_tst |
---|
| 3948 | |
---|
| 3949 | |
---|
| 3950 | SUBROUTINE bn2_tlm_tst( kumadt ) |
---|
| 3951 | !!----------------------------------------------------------------------- |
---|
| 3952 | !! |
---|
| 3953 | !! *** ROUTINE bn2_tlm_tst *** |
---|
| 3954 | !! |
---|
| 3955 | !! ** Purpose : Test the tangent routine. |
---|
| 3956 | !! |
---|
| 3957 | !! ** Method : Verify the tangent with Taylor expansion |
---|
| 3958 | !! |
---|
| 3959 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
---|
| 3960 | !! |
---|
| 3961 | !! where L = tangent routine |
---|
| 3962 | !! M = direct routine |
---|
| 3963 | !! dx = input perturbation (random field) |
---|
| 3964 | !! h = ration on perturbation |
---|
| 3965 | !! |
---|
| 3966 | !! In the tangent test we verify that: |
---|
| 3967 | !! M(x+h*dx) - M(x) |
---|
| 3968 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
---|
| 3969 | !! L(h*dx) |
---|
| 3970 | !! and |
---|
| 3971 | !! g(h) - 1 |
---|
| 3972 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
---|
| 3973 | !! p |
---|
| 3974 | !! |
---|
| 3975 | !! History : |
---|
| 3976 | !! ! 09-12 (A. Vigilant) |
---|
| 3977 | !!----------------------------------------------------------------------- |
---|
| 3978 | !! * Modules used |
---|
| 3979 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
---|
| 3980 | & bn2 |
---|
| 3981 | USE tamtrj ! writing out state trajectory |
---|
| 3982 | USE par_tlm, ONLY: & |
---|
[2587] | 3983 | & tlm_bch, & |
---|
[1885] | 3984 | & cur_loop, & |
---|
| 3985 | & h_ratio |
---|
| 3986 | USE istate_mod |
---|
| 3987 | USE wzvmod ! vertical velocity |
---|
| 3988 | USE gridrandom, ONLY: & |
---|
| 3989 | & grid_rd_sd |
---|
| 3990 | USE trj_tam |
---|
| 3991 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
---|
| 3992 | & tn, sn, rn2 |
---|
| 3993 | USE oce_tam , ONLY: & |
---|
| 3994 | & tn_tl, & |
---|
| 3995 | & sn_tl, & |
---|
| 3996 | & rn2_tl |
---|
| 3997 | USE in_out_manager, ONLY: & ! I/O manager & |
---|
| 3998 | & nit000 |
---|
| 3999 | USE opatam_tst_ini, ONLY: & |
---|
| 4000 | & tlm_namrd |
---|
| 4001 | USE tamctl, ONLY: & ! Control parameters |
---|
| 4002 | & numtan, numtan_sc |
---|
| 4003 | !! * Arguments |
---|
| 4004 | INTEGER, INTENT(IN) :: & |
---|
| 4005 | & kumadt ! Output unit |
---|
| 4006 | !! * Local declarations |
---|
| 4007 | INTEGER :: & |
---|
| 4008 | & ji, & ! dummy loop indices |
---|
| 4009 | & jj, & |
---|
| 4010 | & jk |
---|
| 4011 | REAL(KIND=wp) :: & |
---|
| 4012 | & zsp1, & ! scalar product involving the tangent routine |
---|
| 4013 | & zsp2, & ! scalar product involving the tangent routine |
---|
| 4014 | & zsp3, & ! scalar product involving the tangent routine |
---|
| 4015 | & zzsp, & ! scalar product involving the tangent routine |
---|
| 4016 | & gamma, & |
---|
| 4017 | & zgsp1, & |
---|
| 4018 | & zgsp2, & |
---|
| 4019 | & zgsp3, & |
---|
| 4020 | & zgsp4, & |
---|
| 4021 | & zgsp5, & |
---|
| 4022 | & zgsp6, & |
---|
| 4023 | & zgsp7 |
---|
| 4024 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
---|
| 4025 | & ztn_tlin, & ! potential temperature |
---|
| 4026 | & zsn_tlin, & ! salinity |
---|
| 4027 | & zrn2_out, & ! Brunt-Vaisala frequency [s-1] Direct output |
---|
| 4028 | & zrn2_wop, & ! Brunt-Vaisala frequency [s-1] Direct output w/o perturbation |
---|
| 4029 | & z3r |
---|
| 4030 | CHARACTER(LEN=14) :: cl_name |
---|
[2587] | 4031 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
---|
[1885] | 4032 | CHARACTER (LEN=90) :: FMT |
---|
| 4033 | REAL(KIND=wp), DIMENSION(100):: & |
---|
| 4034 | & zscrn2, & |
---|
| 4035 | & zscerrrn2 |
---|
| 4036 | INTEGER, DIMENSION(100):: & |
---|
| 4037 | & iiposrn2,ijposrn2, ikposrn2 |
---|
| 4038 | INTEGER:: & |
---|
| 4039 | & ii, & |
---|
| 4040 | & isamp=40, & |
---|
| 4041 | & jsamp=40, & |
---|
| 4042 | & ksamp=10, & |
---|
| 4043 | & numsctlm |
---|
| 4044 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
---|
| 4045 | & zerrrn2 |
---|
| 4046 | |
---|
| 4047 | ! Allocate memory |
---|
| 4048 | ALLOCATE( & |
---|
| 4049 | & zsn_tlin( jpi, jpj, jpk ), & |
---|
| 4050 | & ztn_tlin( jpi, jpj, jpk ), & |
---|
| 4051 | & zrn2_out( jpi, jpj, jpk ), & |
---|
| 4052 | & zrn2_wop( jpi, jpj, jpk ), & |
---|
| 4053 | & z3r( jpi, jpj, jpk ) ) |
---|
| 4054 | |
---|
| 4055 | |
---|
| 4056 | !-------------------------------------------------------------------- |
---|
| 4057 | ! Output filename Xn=F(X0) |
---|
| 4058 | !-------------------------------------------------------------------- |
---|
| 4059 | CALL tlm_namrd |
---|
| 4060 | gamma = h_ratio |
---|
[2587] | 4061 | file_wop='trj_wop_bn2' |
---|
| 4062 | file_xdx='trj_xdx_bn2' |
---|
[1885] | 4063 | !-------------------------------------------------------------------- |
---|
| 4064 | ! Initialize the tangent input with random noise: dx |
---|
| 4065 | !-------------------------------------------------------------------- |
---|
| 4066 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 4067 | CALL grid_rd_sd( 264940, z3r, 'T', 0.0_wp, stdt) |
---|
| 4068 | DO jk = 1, jpk |
---|
| 4069 | DO jj = nldj, nlej |
---|
| 4070 | DO ji = nldi, nlei |
---|
| 4071 | ztn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 4072 | END DO |
---|
| 4073 | END DO |
---|
| 4074 | END DO |
---|
| 4075 | CALL grid_rd_sd( 618304, z3r, 'T', 0.0_wp, stds) |
---|
| 4076 | DO jk = 1, jpk |
---|
| 4077 | DO jj = nldj, nlej |
---|
| 4078 | DO ji = nldi, nlei |
---|
| 4079 | zsn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
---|
| 4080 | END DO |
---|
| 4081 | END DO |
---|
| 4082 | END DO |
---|
| 4083 | ENDIF |
---|
| 4084 | !-------------------------------------------------------------------- |
---|
| 4085 | ! Complete Init for Direct |
---|
| 4086 | !------------------------------------------------------------------- |
---|
[2587] | 4087 | IF ( tlm_bch /= 2 ) CALL istate_p |
---|
[1885] | 4088 | |
---|
| 4089 | ! *** initialize the reference trajectory |
---|
| 4090 | ! ------------ |
---|
| 4091 | CALL trj_rea( nit000-1, 1 ) |
---|
| 4092 | |
---|
| 4093 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
---|
| 4094 | |
---|
| 4095 | ztn_tlin(:,:,:) = gamma * ztn_tlin(:,:,:) |
---|
| 4096 | tn(:,:,:) = tn(:,:,:) + ztn_tlin(:,:,:) |
---|
| 4097 | |
---|
| 4098 | zsn_tlin(:,:,:) = gamma * zsn_tlin(:,:,:) |
---|
| 4099 | sn(:,:,:) = sn(:,:,:) + zsn_tlin(:,:,:) |
---|
| 4100 | |
---|
| 4101 | ENDIF |
---|
| 4102 | |
---|
| 4103 | !-------------------------------------------------------------------- |
---|
| 4104 | ! Compute the direct model F(X0,t=n) = Xn |
---|
| 4105 | !-------------------------------------------------------------------- |
---|
[2587] | 4106 | IF ( tlm_bch /= 2 ) CALL bn2(tn, sn, rn2) |
---|
| 4107 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
---|
| 4108 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
---|
[1885] | 4109 | !-------------------------------------------------------------------- |
---|
| 4110 | ! Compute the Tangent |
---|
| 4111 | !-------------------------------------------------------------------- |
---|
[2587] | 4112 | IF ( tlm_bch == 2 ) THEN |
---|
[1885] | 4113 | !-------------------------------------------------------------------- |
---|
| 4114 | ! Initialize the tangent variables: dy^* = W dy |
---|
| 4115 | !-------------------------------------------------------------------- |
---|
| 4116 | CALL trj_rea( nit000-1, 1 ) |
---|
| 4117 | tn_tl (:,:,:) = ztn_tlin (:,:,:) |
---|
| 4118 | sn_tl (:,:,:) = zsn_tlin (:,:,:) |
---|
| 4119 | |
---|
| 4120 | !----------------------------------------------------------------------- |
---|
| 4121 | ! Initialization of the dynamics and tracer fields for the tangent |
---|
| 4122 | !----------------------------------------------------------------------- |
---|
| 4123 | CALL bn2_tan(tn, sn, ztn_tlin, zsn_tlin, rn2_tl) |
---|
| 4124 | |
---|
| 4125 | !-------------------------------------------------------------------- |
---|
| 4126 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
---|
| 4127 | !-------------------------------------------------------------------- |
---|
| 4128 | zsp2 = DOT_PRODUCT( rn2_tl, rn2_tl ) |
---|
| 4129 | |
---|
| 4130 | !-------------------------------------------------------------------- |
---|
| 4131 | ! Storing data |
---|
| 4132 | !-------------------------------------------------------------------- |
---|
| 4133 | CALL trj_rd_spl(file_wop) |
---|
| 4134 | zrn2_wop (:,:,:) = rn2 (:,:,:) |
---|
[2587] | 4135 | CALL trj_rd_spl(file_xdx) |
---|
| 4136 | zrn2_out (:,:,:) = rn2 (:,:,:) |
---|
[1885] | 4137 | !-------------------------------------------------------------------- |
---|
| 4138 | ! Compute the Linearization Error |
---|
| 4139 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
---|
| 4140 | ! and |
---|
| 4141 | ! Compute the Linearization Error |
---|
| 4142 | ! En = Nn -TL(gamma.dX0, t0,tn) |
---|
| 4143 | !-------------------------------------------------------------------- |
---|
| 4144 | ! Warning: Here we re-use local variables z()_out and z()_wop |
---|
| 4145 | ii=0 |
---|
| 4146 | DO jk = 1, jpk |
---|
| 4147 | DO jj = 1, jpj |
---|
| 4148 | DO ji = 1, jpi |
---|
| 4149 | zrn2_out (ji,jj,jk) = zrn2_out (ji,jj,jk) - zrn2_wop (ji,jj,jk) |
---|
| 4150 | zrn2_wop (ji,jj,jk) = zrn2_out (ji,jj,jk) - rn2_tl (ji,jj,jk) |
---|
| 4151 | IF ( rn2_tl(ji,jj,jk) .NE. 0.0_wp ) & |
---|
| 4152 | & zerrrn2(ji,jj,jk) = zrn2_out(ji,jj,jk)/rn2_tl(ji,jj,jk) |
---|
| 4153 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
---|
| 4154 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
---|
| 4155 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
---|
| 4156 | ii = ii+1 |
---|
| 4157 | iiposrn2(ii) = ji |
---|
| 4158 | ijposrn2(ii) = jj |
---|
| 4159 | ikposrn2(ii) = jk |
---|
| 4160 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
---|
| 4161 | zscrn2 (ii) = zrn2_wop(ji,jj,jk) |
---|
| 4162 | zscerrrn2 (ii) = ( zerrrn2(ji,jj,jk) - 1.0_wp ) / gamma |
---|
| 4163 | ENDIF |
---|
| 4164 | ENDIF |
---|
| 4165 | END DO |
---|
| 4166 | END DO |
---|
| 4167 | END DO |
---|
| 4168 | |
---|
| 4169 | zsp1 = DOT_PRODUCT( zrn2_out, zrn2_out ) |
---|
| 4170 | |
---|
| 4171 | zsp3 = DOT_PRODUCT( zrn2_wop, zrn2_wop ) |
---|
| 4172 | |
---|
| 4173 | !-------------------------------------------------------------------- |
---|
| 4174 | ! Print the linearization error En - norme 2 |
---|
| 4175 | !-------------------------------------------------------------------- |
---|
| 4176 | ! 14 char:'12345678901234' |
---|
| 4177 | cl_name = 'eosbn2_tam:En ' |
---|
| 4178 | zzsp = SQRT(zsp3) |
---|
| 4179 | zgsp5 = zzsp |
---|
| 4180 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4181 | !-------------------------------------------------------------------- |
---|
| 4182 | ! Compute TLM norm2 |
---|
| 4183 | !-------------------------------------------------------------------- |
---|
| 4184 | zzsp = SQRT(zsp2) |
---|
| 4185 | zgsp4 = zzsp |
---|
| 4186 | cl_name = 'eosbn2_tam:Ln2' |
---|
| 4187 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4188 | !-------------------------------------------------------------------- |
---|
| 4189 | ! Print the linearization error Nn - norme 2 |
---|
| 4190 | !-------------------------------------------------------------------- |
---|
| 4191 | zzsp = SQRT(zsp1) |
---|
| 4192 | cl_name = 'traadv:Mhdx-Mx' |
---|
| 4193 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
---|
| 4194 | |
---|
| 4195 | zgsp3 = SQRT( zsp3/zsp2 ) |
---|
| 4196 | zgsp7 = zgsp3/gamma |
---|
| 4197 | zgsp1 = zzsp |
---|
| 4198 | zgsp2 = zgsp1 / zgsp4 |
---|
| 4199 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
---|
| 4200 | |
---|
| 4201 | 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)" |
---|
| 4202 | WRITE(numtan,FMT) 'eosbn2 ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
---|
| 4203 | |
---|
| 4204 | !-------------------------------------------------------------------- |
---|
| 4205 | ! Unitary calculus |
---|
| 4206 | !-------------------------------------------------------------------- |
---|
| 4207 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
---|
| 4208 | cl_name = 'eosbn2 ' |
---|
| 4209 | IF(lwp) THEN |
---|
| 4210 | DO ii=1, 100, 1 |
---|
| 4211 | IF ( zscrn2(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscrn2 ', & |
---|
| 4212 | & cur_loop, h_ratio, ii, iiposrn2(ii), ijposrn2(ii), zscrn2(ii) |
---|
| 4213 | ENDDO |
---|
| 4214 | ! write separator |
---|
| 4215 | WRITE(numtan_sc,"(A4)") '====' |
---|
| 4216 | ENDIF |
---|
| 4217 | |
---|
| 4218 | ENDIF |
---|
| 4219 | |
---|
| 4220 | DEALLOCATE( & |
---|
| 4221 | & ztn_tlin, zsn_tlin, & |
---|
| 4222 | & zrn2_out, zrn2_wop, & |
---|
| 4223 | & z3r & |
---|
| 4224 | & ) |
---|
| 4225 | |
---|
| 4226 | END SUBROUTINE bn2_tlm_tst |
---|
| 4227 | |
---|
| 4228 | SUBROUTINE eos_tlm_tst( kumadt ) |
---|
| 4229 | !!----------------------------------------------------------------------- |
---|
| 4230 | !! |
---|
| 4231 | !! *** ROUTINE eos_tlm_tst *** |
---|
| 4232 | !! |
---|
| 4233 | !! ** Purpose : Test the tangent routine. |
---|
| 4234 | !! |
---|
| 4235 | !! History : |
---|
| 4236 | !! ! 09-08 (F. Vigilant) |
---|
| 4237 | !!----------------------------------------------------------------------- |
---|
| 4238 | !! * Modules used |
---|
| 4239 | !! * Arguments |
---|
| 4240 | INTEGER, INTENT(IN) :: & |
---|
| 4241 | & kumadt ! Output unit |
---|
| 4242 | |
---|
| 4243 | CALL eos_insitu_tlm_tst( kumadt ) |
---|
| 4244 | CALL eos_insitu_pot_tlm_tst( kumadt ) |
---|
| 4245 | CALL eos_insitu_2d_tlm_tst( kumadt ) |
---|
| 4246 | |
---|
| 4247 | END SUBROUTINE eos_tlm_tst |
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| 4248 | #endif |
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[2587] | 4249 | #endif |
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[1885] | 4250 | !!====================================================================== |
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| 4251 | END MODULE eosbn2_tam |
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