| 1 | MODULE trasbc_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!============================================================================== |
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| 4 | !! *** MODULE trasbc_tam *** |
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| 5 | !! Ocean active tracers: surface boundary condition |
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| 6 | !! Tangent and Adjoint Module |
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| 7 | !!============================================================================== |
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| 8 | !! History of the direct module: |
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| 9 | !! 8.2 ! 98-10 (G. Madec, G. Roullet, M. Imbard) Original code |
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| 10 | !! 8.2 ! 01-02 (D. Ludicone) sea ice and free surface |
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| 11 | !! 8.5 ! 02-06 (G. Madec) F90: Free form and module |
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| 12 | !! History of the TAM: |
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| 13 | !! ! 08-05 (A. Vidard) Skeleton |
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| 14 | !! ! 08-11 (A. Vidard) tam of the 02-06 version |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! tra_sbc : update the tracer trend at ocean surface |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | USE par_kind , ONLY: & ! Precision variables |
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| 21 | & wp |
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| 22 | USE par_oce , ONLY: & ! Ocean space and time domain variables |
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| 23 | & jpi, & |
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| 24 | & jpj, & |
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| 25 | & jpk, & |
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| 26 | & jpim1, & |
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| 27 | & jpjm1, & |
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| 28 | & jpiglo |
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| 29 | USE oce , ONLY: & ! ocean dynamics and active tracers |
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| 30 | & sn |
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| 31 | USE oce_tam , ONLY: & ! tangent and adjoint ocean dynamics and active tracers |
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| 32 | & sn_tl, & |
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| 33 | & sa_tl, & |
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| 34 | & ta_tl, & |
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| 35 | & sn_ad, & |
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| 36 | & sa_ad, & |
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| 37 | & ta_ad |
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| 38 | USE sbc_oce_tam , ONLY: & ! surface thermohaline fluxes |
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| 39 | & qns_tl, & |
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| 40 | & qsr_tl, & |
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| 41 | & emps_tl, & |
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| 42 | & qns_ad, & |
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| 43 | & qsr_ad, & |
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| 44 | & emps_ad |
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| 45 | USE sbc_oce , ONLY: & ! surface thermohaline fluxes |
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| 46 | & emps |
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| 47 | USE dom_oce , ONLY: & ! ocean space domain variables |
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| 48 | & rdt, & |
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| 49 | & e1t, & |
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| 50 | & e2t, & |
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| 51 | #if defined key_zco |
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| 52 | & e3t_0, & |
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| 53 | #else |
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| 54 | & e3t, & |
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| 55 | #endif |
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| 56 | & tmask, & |
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| 57 | & lk_vvl, & |
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| 58 | & mig, & |
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| 59 | & mjg, & |
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| 60 | & nldi, & |
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| 61 | & nldj, & |
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| 62 | & nlei, & |
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| 63 | & nlej |
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| 64 | USE traqsr , ONLY: & ! solar radiation penetration |
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| 65 | & ln_traqsr |
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| 66 | USE phycst , ONLY: & ! physical constant |
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| 67 | & rauw, & |
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| 68 | & ro0cpr |
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| 69 | USE in_out_manager, ONLY: & ! I/O manager |
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| 70 | & ctl_stop, & |
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| 71 | & lwp, & |
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| 72 | & numout, & |
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| 73 | & nit000, & |
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| 74 | & nitend |
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| 75 | USE prtctl , ONLY: & ! Print control |
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| 76 | & prt_ctl |
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| 77 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
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| 78 | & grid_random |
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| 79 | USE dotprodfld , ONLY: & ! Computes dot product for 3D and 2D fields |
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| 80 | & dot_product |
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| 81 | USE paresp , ONLY: & ! Weights for an energy-type scalar product |
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| 82 | & wesp_t, & |
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| 83 | & wesp_s |
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| 84 | USE tstool_tam , ONLY: & |
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| 85 | & prntst_adj, & |
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| 86 | & prntst_tlm, & ! |
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| 87 | & stdqns, & |
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| 88 | & stdt, & |
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| 89 | & stds, & |
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| 90 | & stdemp |
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| 91 | |
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| 92 | IMPLICIT NONE |
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| 93 | PRIVATE |
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| 94 | |
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| 95 | PUBLIC tra_sbc_tan ! routine called by step_tam.F90 |
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| 96 | PUBLIC tra_sbc_adj ! routine called by step_tam.F90 |
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| 97 | PUBLIC tra_sbc_adj_tst ! routine called by tst.F90 |
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| 98 | PUBLIC tra_sbc_tlm_tst ! routine calle by tamtst.F90 |
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| 99 | |
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| 100 | !! * Substitutions |
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| 101 | # include "domzgr_substitute.h90" |
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| 102 | # include "vectopt_loop_substitute.h90" |
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| 103 | |
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| 104 | |
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| 105 | CONTAINS |
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| 106 | |
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| 107 | SUBROUTINE tra_sbc_tan ( kt ) |
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| 108 | !!---------------------------------------------------------------------- |
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| 109 | !! *** ROUTINE tra_sbc_tan *** |
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| 110 | !! |
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| 111 | !! ** Purpose of the direct routine: |
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| 112 | !! Compute the tracer surface boundary condition trend of |
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| 113 | !! (flux through the interface, concentration/dilution effect) |
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| 114 | !! and add it to the general trend of tracer equations. |
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| 115 | !! |
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| 116 | !! ** Method : |
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| 117 | !! Following Roullet and Madec (2000), the air-sea flux can be divided |
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| 118 | !! into three effects: (1) Fext, external forcing; |
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| 119 | !! (2) Fwi, concentration/dilution effect due to water exchanged |
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| 120 | !! at the surface by evaporation, precipitations and runoff (E-P-R); |
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| 121 | !! (3) Fwe, tracer carried with the water that is exchanged. |
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| 122 | !! |
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| 123 | !! Fext, flux through the air-sea interface for temperature and salt: |
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| 124 | !! - temperature : heat flux q (w/m2). If penetrative solar |
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| 125 | !! radiation q is only the non solar part of the heat flux, the |
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| 126 | !! solar part is added in traqsr.F routine. |
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| 127 | !! ta = ta + q /(rau0 rcp e3t) for k=1 |
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| 128 | !! - salinity : no salt flux |
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| 129 | !! |
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| 130 | !! The formulation for Fwb and Fwi vary according to the free |
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| 131 | !! surface formulation (linear or variable volume). |
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| 132 | !! * Linear free surface |
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| 133 | !! The surface freshwater flux modifies the ocean volume |
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| 134 | !! and thus the concentration of a tracer and the temperature. |
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| 135 | !! First order of the effect of surface freshwater exchange |
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| 136 | !! for salinity, it can be neglected on temperature (especially |
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| 137 | !! as the temperature of precipitations and runoffs is usually |
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| 138 | !! unknown). |
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| 139 | !! - temperature : we assume that the temperature of both |
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| 140 | !! precipitations and runoffs is equal to the SST, thus there |
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| 141 | !! is no additional flux since in this case, the concentration |
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| 142 | !! dilution effect is balanced by the net heat flux associated |
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| 143 | !! to the freshwater exchange (Fwe+Fwi=0): |
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| 144 | !! (Tp P - Te E) + SST (P-E) = 0 when Tp=Te=SST |
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| 145 | !! - salinity : evaporation, precipitation and runoff |
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| 146 | !! water has a zero salinity (Fwe=0), thus only Fwi remains: |
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| 147 | !! sa = sa + emp * sn / e3t for k=1 |
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| 148 | !! where emp, the surface freshwater budget (evaporation minus |
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| 149 | !! precipitation minus runoff) given in kg/m2/s is divided |
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| 150 | !! by 1000 kg/m3 (density of plain water) to obtain m/s. |
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| 151 | !! Note: even though Fwe does not appear explicitly for |
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| 152 | !! temperature in this routine, the heat carried by the water |
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| 153 | !! exchanged through the surface is part of the total heat flux |
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| 154 | !! forcing and must be taken into account in the global heat |
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| 155 | !! balance). |
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| 156 | !! * nonlinear free surface (variable volume, lk_vvl) |
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| 157 | !! contrary to the linear free surface case, Fwi is properly |
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| 158 | !! taken into account by using the true layer thicknesses to |
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| 159 | !! calculate tracer content and advection. There is no need to |
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| 160 | !! deal with it in this routine. |
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| 161 | !! - temperature: Fwe=SST (P-E+R) is added to Fext. |
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| 162 | !! - salinity: Fwe = 0, there is no surface flux of salt. |
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| 163 | !! |
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| 164 | !! ** Action : - Update the 1st level of (ta,sa) with the trend associated |
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| 165 | !! with the tracer surface boundary condition |
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| 166 | !! - save the trend it in ttrd ('key_trdtra') |
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| 167 | !!---------------------------------------------------------------------- |
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| 168 | !! |
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| 169 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 170 | !! |
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| 171 | INTEGER :: ji, jj ! dummy loop indices |
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| 172 | REAL(wp) :: ztatl, zsatl, zsrau, zse3t ! temporary scalars |
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| 173 | |
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| 174 | IF( kt == nit000 ) THEN |
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| 175 | IF(lwp) WRITE(numout,*) |
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| 176 | IF(lwp) WRITE(numout,*) 'tra_sbc_tan : TRAcer Surface Boundary Condition' |
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| 177 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 178 | ENDIF |
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| 179 | |
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| 180 | zsrau = 1.0_wp / rauw ! initialization |
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| 181 | #if defined key_zco |
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| 182 | zse3t = 1.0_wp / e3t_0(1) |
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| 183 | #endif |
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| 184 | |
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| 185 | IF( .NOT.ln_traqsr ) qsr_tl(:,:) = 0.e0_wp ! no solar radiation penetration |
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| 186 | |
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| 187 | ! Concentration dillution effect on (t,s) |
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| 188 | DO jj = 2, jpj |
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| 189 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 190 | #if ! defined key_zco |
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| 191 | zse3t = 1.0_wp / fse3t(ji,jj,1) |
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| 192 | #endif |
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| 193 | IF( lk_vvl ) THEN |
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| 194 | CALL ctl_stop( 'key_vvl not available in NEMOTAM' ) |
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| 195 | ELSE |
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| 196 | ! temperature : heat flux |
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| 197 | ztatl = ro0cpr * zse3t * qns_tl(ji,jj) |
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| 198 | |
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| 199 | ! salinity : concent./dilut. effect |
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| 200 | zsatl = ( emps_tl(ji,jj) * sn (ji,jj,1) & |
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| 201 | & + emps (ji,jj) * sn_tl(ji,jj,1) ) * zsrau * zse3t |
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| 202 | ENDIF |
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| 203 | ta_tl(ji,jj,1) = ta_tl(ji,jj,1) + ztatl ! add the trend to the general tracer trend |
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| 204 | sa_tl(ji,jj,1) = sa_tl(ji,jj,1) + zsatl |
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| 205 | END DO |
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| 206 | END DO |
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| 207 | |
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| 208 | END SUBROUTINE tra_sbc_tan |
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| 209 | |
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| 210 | SUBROUTINE tra_sbc_adj ( kt ) |
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| 211 | !!---------------------------------------------------------------------- |
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| 212 | !! *** ROUTINE tra_sbc_adj *** |
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| 213 | !! |
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| 214 | !! ** Purpose of the direct routine: |
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| 215 | !! Compute the tracer surface boundary condition trend of |
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| 216 | !! (flux through the interface, concentration/dilution effect) |
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| 217 | !! and add it to the general trend of tracer equations. |
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| 218 | !! |
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| 219 | !! ** Method : |
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| 220 | !! Following Roullet and Madec (2000), the air-sea flux can be divided |
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| 221 | !! into three effects: (1) Fext, external forcing; |
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| 222 | !! (2) Fwi, concentration/dilution effect due to water exchanged |
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| 223 | !! at the surface by evaporation, precipitations and runoff (E-P-R); |
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| 224 | !! (3) Fwe, tracer carried with the water that is exchanged. |
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| 225 | !! |
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| 226 | !! Fext, flux through the air-sea interface for temperature and salt: |
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| 227 | !! - temperature : heat flux q (w/m2). If penetrative solar |
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| 228 | !! radiation q is only the non solar part of the heat flux, the |
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| 229 | !! solar part is added in traqsr.F routine. |
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| 230 | !! ta = ta + q /(rau0 rcp e3t) for k=1 |
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| 231 | !! - salinity : no salt flux |
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| 232 | !! |
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| 233 | !! The formulation for Fwb and Fwi vary according to the free |
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| 234 | !! surface formulation (linear or variable volume). |
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| 235 | !! * Linear free surface |
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| 236 | !! The surface freshwater flux modifies the ocean volume |
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| 237 | !! and thus the concentration of a tracer and the temperature. |
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| 238 | !! First order of the effect of surface freshwater exchange |
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| 239 | !! for salinity, it can be neglected on temperature (especially |
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| 240 | !! as the temperature of precipitations and runoffs is usually |
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| 241 | !! unknown). |
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| 242 | !! - temperature : we assume that the temperature of both |
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| 243 | !! precipitations and runoffs is equal to the SST, thus there |
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| 244 | !! is no additional flux since in this case, the concentration |
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| 245 | !! dilution effect is balanced by the net heat flux associated |
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| 246 | !! to the freshwater exchange (Fwe+Fwi=0): |
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| 247 | !! (Tp P - Te E) + SST (P-E) = 0 when Tp=Te=SST |
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| 248 | !! - salinity : evaporation, precipitation and runoff |
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| 249 | !! water has a zero salinity (Fwe=0), thus only Fwi remains: |
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| 250 | !! sa = sa + emp * sn / e3t for k=1 |
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| 251 | !! where emp, the surface freshwater budget (evaporation minus |
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| 252 | !! precipitation minus runoff) given in kg/m2/s is divided |
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| 253 | !! by 1000 kg/m3 (density of plain water) to obtain m/s. |
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| 254 | !! Note: even though Fwe does not appear explicitly for |
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| 255 | !! temperature in this routine, the heat carried by the water |
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| 256 | !! exchanged through the surface is part of the total heat flux |
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| 257 | !! forcing and must be taken into account in the global heat |
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| 258 | !! balance). |
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| 259 | !! * nonlinear free surface (variable volume, lk_vvl) |
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| 260 | !! contrary to the linear free surface case, Fwi is properly |
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| 261 | !! taken into account by using the true layer thicknesses to |
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| 262 | !! calculate tracer content and advection. There is no need to |
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| 263 | !! deal with it in this routine. |
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| 264 | !! - temperature: Fwe=SST (P-E+R) is added to Fext. |
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| 265 | !! - salinity: Fwe = 0, there is no surface flux of salt. |
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| 266 | !! |
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| 267 | !! ** Action : - Update the 1st level of (ta,sa) with the trend associated |
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| 268 | !! with the tracer surface boundary condition |
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| 269 | !! - save the trend it in ttrd ('key_trdtra') |
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| 270 | !!---------------------------------------------------------------------- |
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| 271 | !! |
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| 272 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 273 | !! |
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| 274 | INTEGER :: ji, jj ! dummy loop indices |
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| 275 | REAL(wp) :: ztaad, zsaad, zsrau, zse3t ! temporary scalars |
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| 276 | |
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| 277 | IF( kt == nitend ) THEN |
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| 278 | IF(lwp) WRITE(numout,*) |
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| 279 | IF(lwp) WRITE(numout,*) 'tra_sbc_adj : TRAcer Surface Boundary Condition' |
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| 280 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 281 | ENDIF |
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| 282 | |
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| 283 | zsrau = 1.0_wp / rauw ! initialization |
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| 284 | #if defined key_zco |
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| 285 | zse3t = 1.0_wp / e3t_0(1) |
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| 286 | #endif |
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| 287 | |
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| 288 | ! Concentration dillution effect on (t,s) |
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| 289 | DO jj = jpj, 2, -1 |
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| 290 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
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| 291 | #if ! defined key_zco |
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| 292 | zse3t = 1.0_wp / fse3t(ji,jj,1) |
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| 293 | #endif |
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| 294 | ztaad = ta_ad(ji,jj,1) ! add the trend to the general tracer trend |
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| 295 | zsaad = sa_ad(ji,jj,1) |
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| 296 | IF( lk_vvl) THEN |
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| 297 | CALL ctl_stop( 'key_vvl not available in NEMOTAM' ) |
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| 298 | ELSE |
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| 299 | ztaad = ztaad * ro0cpr * zse3t |
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| 300 | zsaad = zsaad * zsrau * zse3t |
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| 301 | qns_ad(ji,jj) = qns_ad(ji,jj) + ztaad |
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| 302 | emps_ad(ji,jj) = emps_ad(ji,jj) + zsaad * sn(ji,jj,1) |
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| 303 | sn_ad(ji,jj,1) = sn_ad(ji,jj,1) + zsaad * emps(ji,jj) |
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| 304 | ENDIF |
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| 305 | END DO |
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| 306 | END DO |
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| 307 | |
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| 308 | IF( .NOT.ln_traqsr ) qsr_ad(:,:) = 0.e0_wp ! no solar radiation penetration |
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| 309 | |
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| 310 | END SUBROUTINE tra_sbc_adj |
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| 311 | |
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| 312 | SUBROUTINE tra_sbc_adj_tst ( kumadt ) |
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| 313 | !!----------------------------------------------------------------------- |
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| 314 | !! |
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| 315 | !! *** ROUTINE tra_sbc_adj_tst : TEST OF tra_sbc_adj *** |
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| 316 | !! |
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| 317 | !! ** Purpose : Test the adjoint routine. |
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| 318 | !! |
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| 319 | !! ** Method : Verify the scalar product |
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| 320 | !! |
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| 321 | !! ( L dx )^T W dy = dx^T L^T W dy |
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| 322 | !! |
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| 323 | !! where L = tangent routine |
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| 324 | !! L^T = adjoint routine |
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| 325 | !! W = diagonal matrix of scale factors |
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| 326 | !! dx = input perturbation (random field) |
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| 327 | !! dy = L dx |
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| 328 | !! |
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| 329 | !! History : |
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| 330 | !! ! 08-08 (A. Vidard) |
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| 331 | !!----------------------------------------------------------------------- |
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| 332 | !! * Modules used |
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| 333 | |
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| 334 | !! * Arguments |
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| 335 | INTEGER, INTENT(IN) :: & |
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| 336 | & kumadt ! Output unit |
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| 337 | |
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| 338 | INTEGER :: & |
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| 339 | & ji, & ! dummy loop indices |
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| 340 | & jj, & |
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| 341 | & jk |
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| 342 | INTEGER, DIMENSION(jpi,jpj) :: & |
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| 343 | & iseed_2d ! 2D seed for the random number generator |
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| 344 | |
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| 345 | !! * Local declarations |
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| 346 | REAL(KIND=wp), DIMENSION(:,:), ALLOCATABLE :: & |
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| 347 | & zsn_tlin, &! Tangent input : now salinity |
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| 348 | & zsa_tlin, &! Tangent input : after salinity |
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| 349 | & zta_tlin, &! Tangent input : after temperature |
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| 350 | & zqns_tlin, &! Tangent input : solar radiation (w/m2) |
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| 351 | & zemps_tlin, &! Tangent input : evaporation - precipitation (free surface) |
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| 352 | & zsa_tlout, &! Tangent output: after salinity |
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| 353 | & zta_tlout, &! Tangent output: after temperature |
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| 354 | & zsa_adin, &! Adjoint input : after salinity |
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| 355 | & zta_adin, &! Adjoint input : after temperature |
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| 356 | & zsn_adout, &! Adjoint output: now salinity |
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| 357 | & zsa_adout, &! Adjoint output: after salinity |
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| 358 | & zta_adout, &! Adjoint output: after temperature |
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| 359 | & zqns_adout, &! Adjoint output: solar radiation (w/m2) |
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| 360 | & zemps_adout, &! Adjoint output: evaporation - precipitation (free surface) |
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| 361 | & zsn, &! temporary now salinity |
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| 362 | & zsa, &! temporary after salinity |
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| 363 | & zta, &! temporary after temperature |
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| 364 | & zqns, &! temporary solar radiation (w/m2) |
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| 365 | & zemps ! temporary evaporation - precipitation (free surface) |
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| 366 | REAL(KIND=wp) :: & |
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| 367 | & zsp1, & ! scalar product involving the tangent routine |
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| 368 | & zsp1_1, & ! scalar product involving the tangent routine |
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| 369 | & zsp1_2, & ! scalar product involving the tangent routine |
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| 370 | & zsp2, & ! scalar product involving the adjoint routine |
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| 371 | & zsp2_1, & ! scalar product involving the adjoint routine |
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| 372 | & zsp2_2, & ! scalar product involving the adjoint routine |
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| 373 | & zsp2_3, & ! scalar product involving the adjoint routine |
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| 374 | & zsp2_4, & ! scalar product involving the adjoint routine |
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| 375 | & zsp2_5, & ! scalar product involving the adjoint routine |
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| 376 | & z2dt, & ! temporary scalars |
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| 377 | & zraur |
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| 378 | CHARACTER (LEN=14) :: & |
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| 379 | & cl_name |
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| 380 | |
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| 381 | ALLOCATE( & |
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| 382 | & zsn_tlin(jpi,jpj), & |
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| 383 | & zsa_tlin(jpi,jpj), & |
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| 384 | & zta_tlin(jpi,jpj), & |
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| 385 | & zsa_tlout(jpi,jpj), & |
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| 386 | & zta_tlout(jpi,jpj), & |
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| 387 | & zsn_adout(jpi,jpj), & |
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| 388 | & zsa_adout(jpi,jpj), & |
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| 389 | & zta_adout(jpi,jpj), & |
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| 390 | & zsa_adin(jpi,jpj), & |
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| 391 | & zta_adin(jpi,jpj), & |
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| 392 | & zsn(jpi,jpj), & |
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| 393 | & zsa(jpi,jpj), & |
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| 394 | & zta(jpi,jpj), & |
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| 395 | & zqns_adout(jpi,jpj), & |
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| 396 | & zqns_tlin(jpi,jpj), & |
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| 397 | & zemps_tlin(jpi,jpj), & |
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| 398 | & zemps_adout(jpi,jpj), & |
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| 399 | & zqns(jpi,jpj), & |
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| 400 | & zemps(jpi,jpj) & |
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| 401 | & ) |
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| 402 | |
|---|
| 403 | |
|---|
| 404 | ! Initialize constants |
|---|
| 405 | z2dt = 2.0_wp * rdt ! time step: leap-frog |
|---|
| 406 | zraur = 1.0_wp / rauw ! inverse density of pure water (m3/kg) |
|---|
| 407 | |
|---|
| 408 | ! Initialize the reference state |
|---|
| 409 | |
|---|
| 410 | !=========================================================================== |
|---|
| 411 | ! 1) dx = ( qns_tl, sn_tl, emps_tl, ta_tl, sa_tl ) and dy = ( ta_tl, sa_tl ) |
|---|
| 412 | !=========================================================================== |
|---|
| 413 | |
|---|
| 414 | !-------------------------------------------------------------------- |
|---|
| 415 | ! Reset the tangent and adjoint variables |
|---|
| 416 | !-------------------------------------------------------------------- |
|---|
| 417 | zsn_tlin (:,:) = 0.0_wp |
|---|
| 418 | zsa_tlin (:,:) = 0.0_wp |
|---|
| 419 | zta_tlin (:,:) = 0.0_wp |
|---|
| 420 | zsa_tlout (:,:) = 0.0_wp |
|---|
| 421 | zta_tlout (:,:) = 0.0_wp |
|---|
| 422 | zsn_adout (:,:) = 0.0_wp |
|---|
| 423 | zsa_adout (:,:) = 0.0_wp |
|---|
| 424 | zta_adout (:,:) = 0.0_wp |
|---|
| 425 | zsa_adin (:,:) = 0.0_wp |
|---|
| 426 | zta_adin (:,:) = 0.0_wp |
|---|
| 427 | zqns_tlin (:,:) = 0.0_wp |
|---|
| 428 | zqns_adout (:,:) = 0.0_wp |
|---|
| 429 | zemps_tlin (:,:) = 0.0_wp |
|---|
| 430 | zemps_adout(:,:) = 0.0_wp |
|---|
| 431 | |
|---|
| 432 | DO jj = 1, jpj |
|---|
| 433 | DO ji = 1, jpi |
|---|
| 434 | iseed_2d(ji,jj) = - ( 785483 + & |
|---|
| 435 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 436 | END DO |
|---|
| 437 | END DO |
|---|
| 438 | CALL grid_random( iseed_2d, zemps, 'T', 0.0_wp, stdemp ) |
|---|
| 439 | |
|---|
| 440 | DO jj = 1, jpj |
|---|
| 441 | DO ji = 1, jpi |
|---|
| 442 | iseed_2d(ji,jj) = - ( 358606 + & |
|---|
| 443 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 444 | END DO |
|---|
| 445 | END DO |
|---|
| 446 | CALL grid_random( iseed_2d, zqns, 'T', 0.0_wp, stdqns ) |
|---|
| 447 | |
|---|
| 448 | DO jj = 1, jpj |
|---|
| 449 | DO ji = 1, jpi |
|---|
| 450 | iseed_2d(ji,jj) = - ( 523432 + & |
|---|
| 451 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 452 | END DO |
|---|
| 453 | END DO |
|---|
| 454 | CALL grid_random( iseed_2d, zsn, 'T', 0.0_wp, stds ) |
|---|
| 455 | |
|---|
| 456 | DO jj = 1, jpj |
|---|
| 457 | DO ji = 1, jpi |
|---|
| 458 | iseed_2d(ji,jj) = - ( 297563 + & |
|---|
| 459 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 460 | END DO |
|---|
| 461 | END DO |
|---|
| 462 | CALL grid_random( iseed_2d, zsa, 'T', 0.0_wp, stds ) |
|---|
| 463 | |
|---|
| 464 | DO jj = 1, jpj |
|---|
| 465 | DO ji = 1, jpi |
|---|
| 466 | iseed_2d(ji,jj) = - ( 232567 + & |
|---|
| 467 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 468 | END DO |
|---|
| 469 | END DO |
|---|
| 470 | CALL grid_random( iseed_2d, zta, 'T', 0.0_wp, stdt ) |
|---|
| 471 | |
|---|
| 472 | DO jj = nldj, nlej |
|---|
| 473 | DO ji = nldi, nlei |
|---|
| 474 | zsn_tlin (ji,jj) = zsn (ji,jj) |
|---|
| 475 | zsa_tlin (ji,jj) = zsa (ji,jj) |
|---|
| 476 | zta_tlin (ji,jj) = zta (ji,jj) |
|---|
| 477 | zemps_tlin(ji,jj) = zemps(ji,jj) / ( z2dt * zraur ) |
|---|
| 478 | zqns_tlin (ji,jj) = zqns (ji,jj) |
|---|
| 479 | END DO |
|---|
| 480 | END DO |
|---|
| 481 | |
|---|
| 482 | !-------------------------------------------------------------------- |
|---|
| 483 | ! Call the tangent routine: dy = L dx |
|---|
| 484 | !-------------------------------------------------------------------- |
|---|
| 485 | |
|---|
| 486 | sn_tl (:,:,1) = zsn_tlin (:,:) |
|---|
| 487 | sa_tl (:,:,1) = zsa_tlin (:,:) |
|---|
| 488 | ta_tl (:,:,1) = zta_tlin (:,:) |
|---|
| 489 | emps_tl(:,:) = zemps_tlin(:,:) |
|---|
| 490 | qns_tl (:,:) = zqns_tlin (:,:) |
|---|
| 491 | |
|---|
| 492 | CALL tra_sbc_tan( nit000 ) |
|---|
| 493 | |
|---|
| 494 | zsa_tlout(:,:) = sa_tl(:,:,1) |
|---|
| 495 | zta_tlout(:,:) = ta_tl(:,:,1) |
|---|
| 496 | |
|---|
| 497 | !-------------------------------------------------------------------- |
|---|
| 498 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 499 | !-------------------------------------------------------------------- |
|---|
| 500 | |
|---|
| 501 | DO jj = nldj, nlej |
|---|
| 502 | DO ji = nldi, nlei |
|---|
| 503 | zsa_adin(ji,jj) = zsa_tlout(ji,jj) & |
|---|
| 504 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,1) & |
|---|
| 505 | & * tmask(ji,jj,1) * wesp_s(1) |
|---|
| 506 | zta_adin(ji,jj) = zta_tlout(ji,jj) & |
|---|
| 507 | & * e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,1) & |
|---|
| 508 | & * tmask(ji,jj,1) * wesp_t(1) |
|---|
| 509 | END DO |
|---|
| 510 | END DO |
|---|
| 511 | |
|---|
| 512 | !-------------------------------------------------------------------- |
|---|
| 513 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 514 | !-------------------------------------------------------------------- |
|---|
| 515 | |
|---|
| 516 | zsp1_1 = DOT_PRODUCT( zsa_tlout, zsa_adin ) |
|---|
| 517 | zsp1_2 = DOT_PRODUCT( zta_tlout, zta_adin ) |
|---|
| 518 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 519 | |
|---|
| 520 | !-------------------------------------------------------------------- |
|---|
| 521 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 522 | !-------------------------------------------------------------------- |
|---|
| 523 | |
|---|
| 524 | sa_ad(:,:,1) = zsa_adin(:,:) |
|---|
| 525 | ta_ad(:,:,1) = zta_adin(:,:) |
|---|
| 526 | sn_ad(:,:,1) = 0.0_wp |
|---|
| 527 | emps_ad(:,:) = 0.0_wp |
|---|
| 528 | qns_ad(:,:) = 0.0_wp |
|---|
| 529 | |
|---|
| 530 | CALL tra_sbc_adj( nitend ) |
|---|
| 531 | |
|---|
| 532 | zsn_adout (:,:) = sn_ad(:,:,1) |
|---|
| 533 | zsa_adout (:,:) = sa_ad(:,:,1) |
|---|
| 534 | zta_adout (:,:) = ta_ad(:,:,1) |
|---|
| 535 | zqns_adout (:,:) = qns_ad(:,: ) |
|---|
| 536 | zemps_adout(:,:) = emps_ad(:,:) |
|---|
| 537 | |
|---|
| 538 | !-------------------------------------------------------------------- |
|---|
| 539 | ! Compute the scalar product: dx^T L^T W dy |
|---|
| 540 | !-------------------------------------------------------------------- |
|---|
| 541 | |
|---|
| 542 | zsp2_1 = DOT_PRODUCT( zsn_tlin , zsn_adout ) |
|---|
| 543 | zsp2_2 = DOT_PRODUCT( zsa_tlin , zsa_adout ) |
|---|
| 544 | zsp2_3 = DOT_PRODUCT( zta_tlin , zta_adout ) |
|---|
| 545 | zsp2_4 = DOT_PRODUCT( zqns_tlin , zqns_adout ) |
|---|
| 546 | zsp2_5 = DOT_PRODUCT( zemps_tlin, zemps_adout ) |
|---|
| 547 | |
|---|
| 548 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
|---|
| 549 | |
|---|
| 550 | ! Compare the scalar products |
|---|
| 551 | |
|---|
| 552 | ! 14 char:'12345678901234' |
|---|
| 553 | cl_name = 'tra_sbc_adj ' |
|---|
| 554 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 555 | |
|---|
| 556 | |
|---|
| 557 | |
|---|
| 558 | DEALLOCATE( & |
|---|
| 559 | & zsn_tlin, & |
|---|
| 560 | & zsa_tlin, & |
|---|
| 561 | & zta_tlin, & |
|---|
| 562 | & zsa_tlout, & |
|---|
| 563 | & zta_tlout, & |
|---|
| 564 | & zsn_adout, & |
|---|
| 565 | & zsa_adout, & |
|---|
| 566 | & zta_adout, & |
|---|
| 567 | & zsa_adin, & |
|---|
| 568 | & zta_adin, & |
|---|
| 569 | & zsn, & |
|---|
| 570 | & zsa, & |
|---|
| 571 | & zta, & |
|---|
| 572 | & zqns_adout, & |
|---|
| 573 | & zqns_tlin, & |
|---|
| 574 | & zemps_tlin, & |
|---|
| 575 | & zemps_adout, & |
|---|
| 576 | & zqns, & |
|---|
| 577 | & zemps & |
|---|
| 578 | & ) |
|---|
| 579 | END SUBROUTINE tra_sbc_adj_tst |
|---|
| 580 | |
|---|
| 581 | |
|---|
| 582 | SUBROUTINE tra_sbc_tlm_tst ( kumadt ) |
|---|
| 583 | !!----------------------------------------------------------------------- |
|---|
| 584 | !! |
|---|
| 585 | !! *** ROUTINE dyn_adv_tlm_tst *** |
|---|
| 586 | !! |
|---|
| 587 | !! ** Purpose : Test the adjoint routine. |
|---|
| 588 | !! |
|---|
| 589 | !! ** Method : Verify the tangent with Taylor expansion |
|---|
| 590 | !! |
|---|
| 591 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
|---|
| 592 | !! |
|---|
| 593 | !! where L = tangent routine |
|---|
| 594 | !! M = direct routine |
|---|
| 595 | !! dx = input perturbation (random field) |
|---|
| 596 | !! h = ration on perturbation |
|---|
| 597 | !! |
|---|
| 598 | !! In the tangent test we verify that: |
|---|
| 599 | !! M(x+h*dx) - M(x) |
|---|
| 600 | !! g(h) = ------------------ ---> 1 as h ---> 0 |
|---|
| 601 | !! L(h*dx) |
|---|
| 602 | !! and |
|---|
| 603 | !! g(h) - 1 |
|---|
| 604 | !! f(h) = ---------- ---> k (costant) as h ---> 0 |
|---|
| 605 | !! p |
|---|
| 606 | !! |
|---|
| 607 | !! History : |
|---|
| 608 | !! ! 09-08 (A. Vigilant) |
|---|
| 609 | !!----------------------------------------------------------------------- |
|---|
| 610 | !! * Modules used |
|---|
| 611 | USE trasbc |
|---|
| 612 | USE tamtrj ! writing out state trajectory |
|---|
| 613 | USE par_tlm, ONLY: & |
|---|
| 614 | & cur_loop, & |
|---|
| 615 | & h_ratio |
|---|
| 616 | USE istate_mod |
|---|
| 617 | USE divcur ! horizontal divergence and relative vorticity |
|---|
| 618 | USE wzvmod ! vertical velocity |
|---|
| 619 | USE gridrandom, ONLY: & |
|---|
| 620 | & grid_rd_sd |
|---|
| 621 | USE trj_tam |
|---|
| 622 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
|---|
| 623 | & sn, ta, sa |
|---|
| 624 | USE sbc_oce , ONLY: & ! ocean boundary condition |
|---|
| 625 | & qns, emps |
|---|
| 626 | USE opatam_tst_ini, ONLY: & |
|---|
| 627 | & tlm_namrd |
|---|
| 628 | USE tamctl, ONLY: & ! Control parameters |
|---|
| 629 | & numtan, numtan_sc |
|---|
| 630 | !! * Arguments |
|---|
| 631 | INTEGER, INTENT(IN) :: & |
|---|
| 632 | & kumadt ! Output unit |
|---|
| 633 | |
|---|
| 634 | INTEGER :: & |
|---|
| 635 | & ji, & ! dummy loop indices |
|---|
| 636 | & jj, & |
|---|
| 637 | & jk |
|---|
| 638 | INTEGER, DIMENSION(jpi,jpj) :: & |
|---|
| 639 | & iseed_2d ! 2D seed for the random number generator |
|---|
| 640 | |
|---|
| 641 | !! * Local declarations |
|---|
| 642 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 643 | & zsn_tlin, &! Tangent input : now salinity |
|---|
| 644 | & zsa_tlin, &! Tangent input : after salinity |
|---|
| 645 | & zta_tlin, &! Tangent input : after temperature |
|---|
| 646 | & zsa_out, &! Tangent output: after salinity |
|---|
| 647 | & zta_out, &! Tangent output: after temperature |
|---|
| 648 | & zsa_wop, &! |
|---|
| 649 | & zta_wop, & |
|---|
| 650 | & z3r ! 3D field |
|---|
| 651 | REAL(KIND=wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 652 | & zqns_tlin, &! Tangent input : solar radiation (w/m2) |
|---|
| 653 | & zemps_tlin, &! Tangent input : evaporation - precipitation (free surface) |
|---|
| 654 | & z2r |
|---|
| 655 | REAL(KIND=wp) :: & |
|---|
| 656 | & zsp1, & ! scalar product |
|---|
| 657 | & zsp1_1, & ! scalar product |
|---|
| 658 | & zsp1_2, & ! scalar product |
|---|
| 659 | & zsp2, & ! scalar product |
|---|
| 660 | & zsp2_1, & ! scalar product |
|---|
| 661 | & zsp2_2, & ! scalar product |
|---|
| 662 | & zsp3, & ! scalar product |
|---|
| 663 | & zsp3_1, & ! scalar product |
|---|
| 664 | & zsp3_2, & ! scalar product |
|---|
| 665 | & zzsp, & ! scalar product |
|---|
| 666 | & zzsp_1, & ! scalar product |
|---|
| 667 | & zzsp_2, & ! scalar product |
|---|
| 668 | & zraur, & |
|---|
| 669 | & gamma, & |
|---|
| 670 | & zgsp1, & |
|---|
| 671 | & zgsp2, & |
|---|
| 672 | & zgsp3, & |
|---|
| 673 | & zgsp4, & |
|---|
| 674 | & zgsp5, & |
|---|
| 675 | & zgsp6, & |
|---|
| 676 | & zgsp7 |
|---|
| 677 | CHARACTER (LEN=14) :: cl_name |
|---|
| 678 | CHARACTER (LEN=128) :: file_out, file_wop |
|---|
| 679 | CHARACTER (LEN=90) :: FMT |
|---|
| 680 | REAL(KIND=wp), DIMENSION(100):: & |
|---|
| 681 | & zscta, zscsa, & |
|---|
| 682 | & zscerrta, & |
|---|
| 683 | & zscerrsa |
|---|
| 684 | INTEGER, DIMENSION(100):: & |
|---|
| 685 | & iiposta, iipossa, & |
|---|
| 686 | & ijposta, ijpossa, & |
|---|
| 687 | & ikposta, ikpossa |
|---|
| 688 | INTEGER:: & |
|---|
| 689 | & ii, & |
|---|
| 690 | & isamp=40, & |
|---|
| 691 | & jsamp=40, & |
|---|
| 692 | & ksamp=10, & |
|---|
| 693 | & numsctlm |
|---|
| 694 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
|---|
| 695 | & zerrta, zerrsa |
|---|
| 696 | |
|---|
| 697 | ALLOCATE( & |
|---|
| 698 | & zsn_tlin ( jpi,jpj,jpk), & |
|---|
| 699 | & zta_tlin ( jpi,jpj,jpk), & |
|---|
| 700 | & zsa_tlin ( jpi,jpj,jpk), & |
|---|
| 701 | & zta_out ( jpi,jpj,jpk), & |
|---|
| 702 | & zsa_out ( jpi,jpj,jpk), & |
|---|
| 703 | & zta_wop ( jpi,jpj,jpk), & |
|---|
| 704 | & zsa_wop ( jpi,jpj,jpk), & |
|---|
| 705 | & z3r ( jpi,jpj,jpk), & |
|---|
| 706 | & zqns_tlin( jpi,jpj ), & |
|---|
| 707 | & zemps_tlin(jpi,jpj ), & |
|---|
| 708 | & z2r (jpi,jpj ) & |
|---|
| 709 | & ) |
|---|
| 710 | |
|---|
| 711 | !-------------------------------------------------------------------- |
|---|
| 712 | ! Reset variables |
|---|
| 713 | !-------------------------------------------------------------------- |
|---|
| 714 | zsn_tlin ( :,:,:) = 0.0_wp |
|---|
| 715 | zsa_tlin ( :,:,:) = 0.0_wp |
|---|
| 716 | zta_tlin ( :,:,:) = 0.0_wp |
|---|
| 717 | zqns_tlin ( :,: ) = 0.0_wp |
|---|
| 718 | zemps_tlin( :,: ) = 0.0_wp |
|---|
| 719 | zta_out ( :,:,:) = 0.0_wp |
|---|
| 720 | zsa_out ( :,:,:) = 0.0_wp |
|---|
| 721 | zta_wop ( :,:,:) = 0.0_wp |
|---|
| 722 | zsa_wop ( :,:,:) = 0.0_wp |
|---|
| 723 | |
|---|
| 724 | zscta(:) = 0.0_wp |
|---|
| 725 | zscsa(:) = 0.0_wp |
|---|
| 726 | zscerrta(:) = 0.0_wp |
|---|
| 727 | zscerrsa(:) = 0.0_wp |
|---|
| 728 | zerrta(:,:,:) = 0.0_wp |
|---|
| 729 | zerrsa(:,:,:) = 0.0_wp |
|---|
| 730 | !-------------------------------------------------------------------- |
|---|
| 731 | ! Output filename Xn=F(X0) |
|---|
| 732 | !-------------------------------------------------------------------- |
|---|
| 733 | file_wop='trj_wop_trasbc' |
|---|
| 734 | CALL tlm_namrd |
|---|
| 735 | gamma = h_ratio |
|---|
| 736 | !-------------------------------------------------------------------- |
|---|
| 737 | ! Initialize the tangent input with random noise: dx |
|---|
| 738 | !-------------------------------------------------------------------- |
|---|
| 739 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 740 | CALL grid_rd_sd( 523432, z3r, 'T', 0.0_wp, stds ) |
|---|
| 741 | DO jk = 1, jpk |
|---|
| 742 | DO jj = nldj, nlej |
|---|
| 743 | DO ji = nldi, nlei |
|---|
| 744 | zsn_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 745 | END DO |
|---|
| 746 | END DO |
|---|
| 747 | END DO |
|---|
| 748 | CALL grid_rd_sd( 232567, z3r, 'T', 0.0_wp, stdt ) |
|---|
| 749 | DO jk = 1, jpk |
|---|
| 750 | DO jj = nldj, nlej |
|---|
| 751 | DO ji = nldi, nlei |
|---|
| 752 | zta_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 753 | END DO |
|---|
| 754 | END DO |
|---|
| 755 | END DO |
|---|
| 756 | CALL grid_rd_sd( 297563, z3r, 'T', 0.0_wp, stds ) |
|---|
| 757 | DO jk = 1, jpk |
|---|
| 758 | DO jj = nldj, nlej |
|---|
| 759 | DO ji = nldi, nlei |
|---|
| 760 | zsa_tlin(ji,jj,jk) = z3r(ji,jj,jk) |
|---|
| 761 | END DO |
|---|
| 762 | END DO |
|---|
| 763 | END DO |
|---|
| 764 | CALL grid_rd_sd( 358606, z2r, 'T', 0.0_wp, stdqns) |
|---|
| 765 | DO jj = nldj, nlej |
|---|
| 766 | DO ji = nldi, nlei |
|---|
| 767 | zqns_tlin(ji,jj) = z2r(ji,jj) |
|---|
| 768 | END DO |
|---|
| 769 | END DO |
|---|
| 770 | CALL grid_rd_sd( 785483, z2r, 'T', 0.0_wp, stdemp) |
|---|
| 771 | DO jj = nldj, nlej |
|---|
| 772 | DO ji = nldi, nlei |
|---|
| 773 | zemps_tlin(ji,jj) = z2r(ji,jj) |
|---|
| 774 | END DO |
|---|
| 775 | END DO |
|---|
| 776 | ENDIF |
|---|
| 777 | !-------------------------------------------------------------------- |
|---|
| 778 | ! Complete Init for Direct |
|---|
| 779 | !------------------------------------------------------------------- |
|---|
| 780 | CALL istate_p |
|---|
| 781 | |
|---|
| 782 | ! *** initialize the reference trajectory |
|---|
| 783 | ! ------------ |
|---|
| 784 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 785 | CALL trj_rea( nit000, 1 ) |
|---|
| 786 | |
|---|
| 787 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 788 | zsn_tlin(:,:,:) = gamma * zsn_tlin(:,:,:) |
|---|
| 789 | sn(:,:,:) = sn(:,:,:) + zsn_tlin(:,:,:) |
|---|
| 790 | |
|---|
| 791 | zta_tlin(:,:,:) = gamma * zta_tlin(:,:,:) |
|---|
| 792 | ta(:,:,:) = ta(:,:,:) + zta_tlin(:,:,:) |
|---|
| 793 | |
|---|
| 794 | zsa_tlin(:,:,:) = gamma * zsa_tlin(:,:,:) |
|---|
| 795 | sa(:,:,:) = sa(:,:,:) + zsa_tlin(:,:,:) |
|---|
| 796 | |
|---|
| 797 | zqns_tlin(:,:) = gamma * zqns_tlin(:,:) |
|---|
| 798 | qns(:,:) = qns(:,:) + zqns_tlin(:,:) |
|---|
| 799 | |
|---|
| 800 | zemps_tlin(:,:) = gamma * zemps_tlin(:,:) |
|---|
| 801 | emps(:,:) = emps(:,:) + zemps_tlin(:,:) |
|---|
| 802 | ENDIF |
|---|
| 803 | !-------------------------------------------------------------------- |
|---|
| 804 | ! Compute the direct model F(X0,t=n) = Xn |
|---|
| 805 | !-------------------------------------------------------------------- |
|---|
| 806 | CALL tra_sbc(nit000) |
|---|
| 807 | |
|---|
| 808 | IF ( cur_loop .EQ. 0) CALL trj_wri_spl(file_wop) |
|---|
| 809 | |
|---|
| 810 | !-------------------------------------------------------------------- |
|---|
| 811 | ! Compute the Tangent |
|---|
| 812 | !-------------------------------------------------------------------- |
|---|
| 813 | IF ( cur_loop .NE. 0) THEN |
|---|
| 814 | !-------------------------------------------------------------------- |
|---|
| 815 | ! Storing data |
|---|
| 816 | !-------------------------------------------------------------------- |
|---|
| 817 | zta_out (:,:,:) = ta (:,:,:) |
|---|
| 818 | zsa_out (:,:,:) = sa (:,:,:) |
|---|
| 819 | |
|---|
| 820 | !-------------------------------------------------------------------- |
|---|
| 821 | ! Initialize the tangent variables: dy^* = W dy |
|---|
| 822 | !-------------------------------------------------------------------- |
|---|
| 823 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 824 | CALL trj_rea( nit000, 1 ) |
|---|
| 825 | sn_tl (:,:,:) = zsn_tlin (:,:,:) |
|---|
| 826 | ta_tl (:,:,:) = zta_tlin (:,:,:) |
|---|
| 827 | sa_tl (:,:,:) = zsa_tlin (:,:,:) |
|---|
| 828 | qns_tl (:,: ) = zqns_tlin (:,: ) |
|---|
| 829 | emps_tl (:,: ) = zemps_tlin(:,: ) |
|---|
| 830 | !----------------------------------------------------------------------- |
|---|
| 831 | ! Initialization of the dynamics and tracer fields for the tangent |
|---|
| 832 | !----------------------------------------------------------------------- |
|---|
| 833 | CALL tra_sbc_tan(nit000) |
|---|
| 834 | |
|---|
| 835 | !-------------------------------------------------------------------- |
|---|
| 836 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
|---|
| 837 | !-------------------------------------------------------------------- |
|---|
| 838 | |
|---|
| 839 | zsp2_1 = DOT_PRODUCT( ta_tl, ta_tl ) |
|---|
| 840 | zsp2_2 = DOT_PRODUCT( sa_tl, sa_tl ) |
|---|
| 841 | |
|---|
| 842 | zsp2 = zsp2_1 + zsp2_2 |
|---|
| 843 | !-------------------------------------------------------------------- |
|---|
| 844 | ! Storing data |
|---|
| 845 | !-------------------------------------------------------------------- |
|---|
| 846 | CALL trj_rd_spl(file_wop) |
|---|
| 847 | zta_wop (:,:,:) = ta (:,:,:) |
|---|
| 848 | zsa_wop (:,:,:) = sa (:,:,:) |
|---|
| 849 | !-------------------------------------------------------------------- |
|---|
| 850 | ! Compute the Linearization Error |
|---|
| 851 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
|---|
| 852 | ! and |
|---|
| 853 | ! Compute the Linearization Error |
|---|
| 854 | ! En = Nn -TL(gamma.dX0, t0,tn) |
|---|
| 855 | !-------------------------------------------------------------------- |
|---|
| 856 | ! Warning: Here we re-use local variables z()_out and z()_wop |
|---|
| 857 | ii=0 |
|---|
| 858 | DO jk = 1, jpk |
|---|
| 859 | DO jj = 1, jpj |
|---|
| 860 | DO ji = 1, jpi |
|---|
| 861 | zta_out (ji,jj,jk) = zta_out (ji,jj,jk) - zta_wop (ji,jj,jk) |
|---|
| 862 | zta_wop (ji,jj,jk) = zta_out (ji,jj,jk) - ta_tl (ji,jj,jk) |
|---|
| 863 | IF ( ta_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 864 | & zerrta(ji,jj,jk) = zta_out(ji,jj,jk)/ta_tl(ji,jj,jk) |
|---|
| 865 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 866 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 867 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 868 | ii = ii+1 |
|---|
| 869 | iiposta(ii) = ji |
|---|
| 870 | ijposta(ii) = jj |
|---|
| 871 | ikposta(ii) = jk |
|---|
| 872 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 873 | zscta (ii) = zta_wop(ji,jj,jk) |
|---|
| 874 | zscerrta (ii) = ( zerrta(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 875 | ENDIF |
|---|
| 876 | ENDIF |
|---|
| 877 | END DO |
|---|
| 878 | END DO |
|---|
| 879 | END DO |
|---|
| 880 | ii=0 |
|---|
| 881 | DO jk = 1, jpk |
|---|
| 882 | DO jj = 1, jpj |
|---|
| 883 | DO ji = 1, jpi |
|---|
| 884 | zsa_out (ji,jj,jk) = zsa_out (ji,jj,jk) - zsa_wop (ji,jj,jk) |
|---|
| 885 | zsa_wop (ji,jj,jk) = zsa_out (ji,jj,jk) - sa_tl (ji,jj,jk) |
|---|
| 886 | IF ( sa_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 887 | & zerrsa(ji,jj,jk) = zsa_out(ji,jj,jk)/sa_tl(ji,jj,jk) |
|---|
| 888 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 889 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 890 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 891 | ii = ii+1 |
|---|
| 892 | iipossa(ii) = ji |
|---|
| 893 | ijpossa(ii) = jj |
|---|
| 894 | ikpossa(ii) = jk |
|---|
| 895 | IF ( INT(tmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 896 | zscsa (ii) = zsa_wop(ji,jj,jk) |
|---|
| 897 | zscerrsa (ii) = ( zerrsa(ji,jj,jk) - 1.0_wp ) /gamma |
|---|
| 898 | ENDIF |
|---|
| 899 | ENDIF |
|---|
| 900 | END DO |
|---|
| 901 | END DO |
|---|
| 902 | END DO |
|---|
| 903 | |
|---|
| 904 | zsp1_1 = DOT_PRODUCT( zta_out, zta_out ) |
|---|
| 905 | zsp1_2 = DOT_PRODUCT( zsa_out, zsa_out ) |
|---|
| 906 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 907 | |
|---|
| 908 | zsp3_1 = DOT_PRODUCT( zta_wop, zta_wop ) |
|---|
| 909 | zsp3_2 = DOT_PRODUCT( zsa_wop, zsa_wop ) |
|---|
| 910 | zsp3 = zsp3_1 + zsp3_2 |
|---|
| 911 | !-------------------------------------------------------------------- |
|---|
| 912 | ! Print the linearization error En - norme 2 |
|---|
| 913 | !-------------------------------------------------------------------- |
|---|
| 914 | ! 14 char:'12345678901234' |
|---|
| 915 | cl_name = 'trasbc_tam:En ' |
|---|
| 916 | zzsp = SQRT(zsp3) |
|---|
| 917 | zzsp_1 = SQRT(zsp3_1) |
|---|
| 918 | zzsp_2 = SQRT(zsp3_2) |
|---|
| 919 | zgsp5 = zzsp |
|---|
| 920 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 921 | !-------------------------------------------------------------------- |
|---|
| 922 | ! Compute TLM norm2 |
|---|
| 923 | !-------------------------------------------------------------------- |
|---|
| 924 | zzsp = SQRT(zsp2) |
|---|
| 925 | zzsp_1 = SQRT(zsp2_1) |
|---|
| 926 | zzsp_2 = SQRT(zsp2_2) |
|---|
| 927 | zgsp4 = zzsp |
|---|
| 928 | cl_name = 'trasbc_tam:Ln2' |
|---|
| 929 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 930 | !-------------------------------------------------------------------- |
|---|
| 931 | ! Print the linearization error Nn - norme 2 |
|---|
| 932 | !-------------------------------------------------------------------- |
|---|
| 933 | zzsp = SQRT(zsp1) |
|---|
| 934 | zzsp_1 = SQRT(zsp1_1) |
|---|
| 935 | zzsp_2 = SQRT(zsp1_2) |
|---|
| 936 | cl_name = 'trasbc:Mhdx-Mx' |
|---|
| 937 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 938 | zgsp3 = SQRT( zsp3/zsp2 ) |
|---|
| 939 | zgsp7 = zgsp3/gamma |
|---|
| 940 | zgsp1 = zzsp |
|---|
| 941 | zgsp2 = zgsp1 / zgsp4 |
|---|
| 942 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
|---|
| 943 | |
|---|
| 944 | 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)" |
|---|
| 945 | WRITE(numtan,FMT) 'trasbc ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
|---|
| 946 | !-------------------------------------------------------------------- |
|---|
| 947 | ! Unitary calculus |
|---|
| 948 | !-------------------------------------------------------------------- |
|---|
| 949 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
|---|
| 950 | cl_name = 'trasbc ' |
|---|
| 951 | IF(lwp) THEN |
|---|
| 952 | DO ii=1, 100, 1 |
|---|
| 953 | IF ( zscta(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscta ', & |
|---|
| 954 | & cur_loop, h_ratio, ii, iiposta(ii), ijposta(ii), zscta(ii) |
|---|
| 955 | ENDDO |
|---|
| 956 | DO ii=1, 100, 1 |
|---|
| 957 | IF ( zscsa(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscsa ', & |
|---|
| 958 | & cur_loop, h_ratio, ii, iipossa(ii), ijpossa(ii), zscsa(ii) |
|---|
| 959 | ENDDO |
|---|
| 960 | DO ii=1, 100, 1 |
|---|
| 961 | IF ( zscerrta(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrta ', & |
|---|
| 962 | & cur_loop, h_ratio, ii, iiposta(ii), ijposta(ii), zscerrta(ii) |
|---|
| 963 | ENDDO |
|---|
| 964 | DO ii=1, 100, 1 |
|---|
| 965 | IF ( zscerrsa(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrsa ', & |
|---|
| 966 | & cur_loop, h_ratio, ii, iipossa(ii), ijpossa(ii), zscerrsa(ii) |
|---|
| 967 | ENDDO |
|---|
| 968 | ! write separator |
|---|
| 969 | WRITE(numtan_sc,"(A4)") '====' |
|---|
| 970 | ENDIF |
|---|
| 971 | ENDIF |
|---|
| 972 | |
|---|
| 973 | DEALLOCATE( & |
|---|
| 974 | & zsn_tlin, zta_tlin, zsa_tlin, & |
|---|
| 975 | & zqns_tlin, zemps_tlin, & |
|---|
| 976 | & zta_out, zsa_out, & |
|---|
| 977 | & zta_wop, zsa_wop, & |
|---|
| 978 | & z3r, z2r & |
|---|
| 979 | & ) |
|---|
| 980 | END SUBROUTINE tra_sbc_tlm_tst |
|---|
| 981 | !!====================================================================== |
|---|
| 982 | #endif |
|---|
| 983 | END MODULE trasbc_tam |
|---|
