| 1 | MODULE dynhpg_tam |
|---|
| 2 | #ifdef key_tam |
|---|
| 3 | !!====================================================================== |
|---|
| 4 | !! *** MODULE dynhpg_tam *** |
|---|
| 5 | !! Ocean dynamics: hydrostatic pressure gradient trend |
|---|
| 6 | !! Tangent and Adjoint module |
|---|
| 7 | !!====================================================================== |
|---|
| 8 | !! History of the direct module: |
|---|
| 9 | !! 1.0 ! 87-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
|---|
| 10 | !! 5.0 ! 91-11 (G. Madec) |
|---|
| 11 | !! 7.0 ! 96-01 (G. Madec) hpg_sco: Original code for s-coordinates |
|---|
| 12 | !! 8.0 ! 97-05 (G. Madec) split dynber into dynkeg and dynhpg |
|---|
| 13 | !! 8.5 ! 02-07 (G. Madec) F90: Free form and module |
|---|
| 14 | !! 8.5 ! 02-08 (A. Bozec) hpg_zps: Original code |
|---|
| 15 | !! 9.0 ! 05-10 (A. Beckmann, B.W. An) various s-coordinate options |
|---|
| 16 | !! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
|---|
| 17 | !! 9.0 ! 05-11 (G. Madec) style & small optimisation |
|---|
| 18 | !! History of the TAM module: |
|---|
| 19 | !! 9.0 ! 08-06 (A. Vidard) Skeleton |
|---|
| 20 | !! ! 08-11 (A. Vidard) Nemo v3 |
|---|
| 21 | !!---------------------------------------------------------------------- |
|---|
| 22 | |
|---|
| 23 | !!---------------------------------------------------------------------- |
|---|
| 24 | !! dyn_hpg : update the momentum trend with the now horizontal |
|---|
| 25 | !! gradient of the hydrostatic pressure |
|---|
| 26 | !! hpg_ctl : initialisation and control of options |
|---|
| 27 | !! hpg_zco : z-coordinate scheme |
|---|
| 28 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
|---|
| 29 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
|---|
| 30 | !! hpg_hel : s-coordinate (helsinki modification) |
|---|
| 31 | !! hpg_wdj : s-coordinate (weighted density jacobian) |
|---|
| 32 | !! hpg_djc : s-coordinate (Density Jacobian with Cubic polynomial) |
|---|
| 33 | !! hpg_rot : s-coordinate (ROTated axes scheme) |
|---|
| 34 | !!---------------------------------------------------------------------- |
|---|
| 35 | USE par_kind, ONLY: & ! Precision variables |
|---|
| 36 | & wp |
|---|
| 37 | USE par_oce, ONLY: & ! Ocean space and time domain variables |
|---|
| 38 | & jpi, jpj, jpk, & |
|---|
| 39 | & jpim1, jpjm1, jpkm1, & |
|---|
| 40 | & jpiglo |
|---|
| 41 | USE oce_tam , ONLY: & ! ocean dynamics and tracers |
|---|
| 42 | & ua_tl, va_tl, rhd_tl, & |
|---|
| 43 | & ua_ad, va_ad, rhd_ad, & |
|---|
| 44 | & gru_tl, grv_tl, gru_ad, & |
|---|
| 45 | & grv_ad, tn_tl, sn_tl, & |
|---|
| 46 | & gtu_tl, gtv_tl, gsu_tl, & |
|---|
| 47 | & gsv_tl, rhop_tl |
|---|
| 48 | USE dom_oce , ONLY: & ! ocean space and time domain |
|---|
| 49 | & lk_vvl, e1u, e2u, & |
|---|
| 50 | & e1v, e2v, & |
|---|
| 51 | #if defined key_zco |
|---|
| 52 | & e3t_0, e3w_0, & |
|---|
| 53 | #else |
|---|
| 54 | & e3u, e3v, e3w, & |
|---|
| 55 | #endif |
|---|
| 56 | & mbathy, umask, vmask, & |
|---|
| 57 | & mig, mjg, nldi, & |
|---|
| 58 | & nldj, nlei, nlej |
|---|
| 59 | USE dynhpg , ONLY: & |
|---|
| 60 | & ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, & |
|---|
| 61 | & ln_hpg_hel, ln_hpg_wdj, ln_hpg_djc, & |
|---|
| 62 | & ln_hpg_rot, rn_gamma, ln_dynhpg_imp, & |
|---|
| 63 | & nhpg |
|---|
| 64 | USE phycst , ONLY: & ! physical constants |
|---|
| 65 | & grav |
|---|
| 66 | USE in_out_manager, ONLY: & ! I/O manager |
|---|
| 67 | & ctl_stop, lwp, numout, & |
|---|
| 68 | & numnam, nit000, nitend |
|---|
| 69 | USE gridrandom , ONLY: & ! Random Gaussian noise on grids |
|---|
| 70 | & grid_random |
|---|
| 71 | USE dotprodfld, ONLY: & ! Computes dot product for 3D and 2D fields |
|---|
| 72 | & dot_product |
|---|
| 73 | USE tstool_tam , ONLY: & |
|---|
| 74 | & prntst_adj, prntst_tlm, stdu, & |
|---|
| 75 | & stdv, stdr, stdt, & ! |
|---|
| 76 | & stds |
|---|
| 77 | |
|---|
| 78 | IMPLICIT NONE |
|---|
| 79 | PRIVATE |
|---|
| 80 | |
|---|
| 81 | PUBLIC dyn_hpg_tan ! routine called by step_tam module |
|---|
| 82 | PUBLIC dyn_hpg_adj ! routine called by step_tam module |
|---|
| 83 | PUBLIC dyn_hpg_adj_tst! routine called by test module |
|---|
| 84 | #if defined key_tst_tlm |
|---|
| 85 | PUBLIC dyn_hpg_tlm_tst! routine called by test module |
|---|
| 86 | #endif |
|---|
| 87 | |
|---|
| 88 | !!* Namelist nam_dynhpg : Choice of horizontal pressure gradient computation |
|---|
| 89 | ! LOGICAL :: ln_hpg_zco = .TRUE. ! z-coordinate - full steps |
|---|
| 90 | ! LOGICAL :: ln_hpg_zps = .FALSE. ! z-coordinate - partial steps (interpolation) |
|---|
| 91 | ! LOGICAL :: ln_hpg_sco = .FALSE. ! s-coordinate (standard jacobian formulation) |
|---|
| 92 | ! LOGICAL :: ln_hpg_hel = .FALSE. ! s-coordinate (helsinki modification) |
|---|
| 93 | ! LOGICAL :: ln_hpg_wdj = .FALSE. ! s-coordinate (weighted density jacobian) |
|---|
| 94 | ! LOGICAL :: ln_hpg_djc = .FALSE. ! s-coordinate (Density Jacobian with Cubic polynomial) |
|---|
| 95 | ! LOGICAL :: ln_hpg_rot = .FALSE. ! s-coordinate (ROTated axes scheme) |
|---|
| 96 | ! REAL(wp) :: gamm = 0.e0 ! weighting coefficient |
|---|
| 97 | |
|---|
| 98 | ! INTEGER :: nhpg = 0 ! = 0 to 6, type of pressure gradient scheme used |
|---|
| 99 | ! ! (deduced from ln_hpg_... flags) |
|---|
| 100 | |
|---|
| 101 | !! * Substitutions |
|---|
| 102 | # include "domzgr_substitute.h90" |
|---|
| 103 | # include "vectopt_loop_substitute.h90" |
|---|
| 104 | |
|---|
| 105 | CONTAINS |
|---|
| 106 | |
|---|
| 107 | SUBROUTINE dyn_hpg_tan( kt ) |
|---|
| 108 | !!--------------------------------------------------------------------- |
|---|
| 109 | !! *** ROUTINE dyn_hpg_tan *** |
|---|
| 110 | !! |
|---|
| 111 | !! ** Method of the direct routine: |
|---|
| 112 | !! Call the hydrostatic pressure gradient routine |
|---|
| 113 | !! using the scheme defined in the namelist |
|---|
| 114 | !! |
|---|
| 115 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 116 | !! - Save the trend (l_trddyn=T) |
|---|
| 117 | !!---------------------------------------------------------------------- |
|---|
| 118 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 119 | !! |
|---|
| 120 | !!---------------------------------------------------------------------- |
|---|
| 121 | IF( kt == nit000 ) CALL hpg_ctl_tam ! initialisation & control of options |
|---|
| 122 | |
|---|
| 123 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
|---|
| 124 | CASE ( 0 ) ; CALL hpg_zco_tan ( kt ) ! z-coordinate |
|---|
| 125 | CASE ( 1 ) ; CALL hpg_zps_tan ( kt ) ! z-coordinate plus partial steps (interpolation) |
|---|
| 126 | CASE ( 2 ) ; CALL hpg_sco_tan ( kt ) ! s-coordinate (standard jacobian formulation) |
|---|
| 127 | CASE ( 3 ) ; CALL hpg_hel_tan ( kt ) ! s-coordinate (helsinki modification) |
|---|
| 128 | CASE ( 4 ) ; CALL hpg_wdj_tan ( kt ) ! s-coordinate (weighted density jacobian) |
|---|
| 129 | CASE ( 5 ) ; CALL hpg_djc_tan ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
|---|
| 130 | CASE ( 6 ) ; CALL hpg_rot_tan ( kt ) ! s-coordinate (ROTated axes scheme) |
|---|
| 131 | END SELECT |
|---|
| 132 | END SUBROUTINE dyn_hpg_tan |
|---|
| 133 | SUBROUTINE dyn_hpg_adj( kt ) |
|---|
| 134 | !!--------------------------------------------------------------------- |
|---|
| 135 | !! *** ROUTINE dyn_hpg_adj *** |
|---|
| 136 | !! |
|---|
| 137 | !! ** Method of the direct routine: |
|---|
| 138 | !! call the hydrostatic pressure gradient routine |
|---|
| 139 | !! using the scheme defined in the namelist |
|---|
| 140 | !! |
|---|
| 141 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 142 | !! - Save the trend (l_trddyn=T) |
|---|
| 143 | !!---------------------------------------------------------------------- |
|---|
| 144 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 145 | !! |
|---|
| 146 | !!---------------------------------------------------------------------- |
|---|
| 147 | IF( kt == nitend ) CALL hpg_ctl_tam ! initialisation & control of options |
|---|
| 148 | |
|---|
| 149 | SELECT CASE ( nhpg ) ! Hydrastatic pressure gradient computation |
|---|
| 150 | CASE ( 0 ) ; CALL hpg_zco_adj ( kt ) ! z-coordinate |
|---|
| 151 | CASE ( 1 ) ; CALL hpg_zps_adj ( kt ) ! z-coordinate plus partial steps (interpolation) |
|---|
| 152 | CASE ( 2 ) ; CALL hpg_sco_adj ( kt ) ! s-coordinate (standard jacobian formulation) |
|---|
| 153 | CASE ( 3 ) ; CALL hpg_hel_adj ( kt ) ! s-coordinate (helsinki modification) |
|---|
| 154 | CASE ( 4 ) ; CALL hpg_wdj_adj ( kt ) ! s-coordinate (weighted density jacobian) |
|---|
| 155 | CASE ( 5 ) ; CALL hpg_djc_adj ( kt ) ! s-coordinate (Density Jacobian with Cubic polynomial) |
|---|
| 156 | CASE ( 6 ) ; CALL hpg_rot_adj ( kt ) ! s-coordinate (ROTated axes scheme) |
|---|
| 157 | END SELECT |
|---|
| 158 | END SUBROUTINE dyn_hpg_adj |
|---|
| 159 | |
|---|
| 160 | SUBROUTINE hpg_ctl_tam |
|---|
| 161 | !!---------------------------------------------------------------------- |
|---|
| 162 | !! *** ROUTINE hpg_ctl_tam *** |
|---|
| 163 | !! |
|---|
| 164 | !! ** Purpose : initializations for the hydrostatic pressure gradient |
|---|
| 165 | !! computation and consistency control |
|---|
| 166 | !! |
|---|
| 167 | !! ** Action : Read the namelist namdyn_hpg and check the consistency |
|---|
| 168 | !! with the type of vertical coordinate used (zco, zps, sco) |
|---|
| 169 | !!---------------------------------------------------------------------- |
|---|
| 170 | INTEGER :: ioptio = 0 ! temporary integer |
|---|
| 171 | |
|---|
| 172 | ! Namelist read in opa_flg |
|---|
| 173 | ! NAMELIST/nam_dynhpg/ ln_hpg_zco, ln_hpg_zps, ln_hpg_sco, ln_hpg_hel, & |
|---|
| 174 | ! & ln_hpg_wdj, ln_hpg_djc, ln_hpg_rot, gamm |
|---|
| 175 | !!---------------------------------------------------------------------- |
|---|
| 176 | |
|---|
| 177 | ! REWIND ( numnam ) ! Read Namelist nam_dynhpg : pressure gradient calculation options |
|---|
| 178 | ! READ ( numnam, nam_dynhpg ) |
|---|
| 179 | |
|---|
| 180 | IF(lwp) THEN ! Control print |
|---|
| 181 | WRITE(numout,*) |
|---|
| 182 | WRITE(numout,*) 'dyn_ctl_tam : hydrostatic pressure gradient' |
|---|
| 183 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
|---|
| 184 | WRITE(numout,*) ' Namelist namdyn_hpg : choice of hpg scheme' |
|---|
| 185 | WRITE(numout,*) ' z-coord. - full steps ln_hpg_zco = ', ln_hpg_zco |
|---|
| 186 | WRITE(numout,*) ' z-coord. - partial steps (interpolation) ln_hpg_zps = ', ln_hpg_zps |
|---|
| 187 | WRITE(numout,*) ' s-coord. (standard jacobian formulation) ln_hpg_sco = ', ln_hpg_sco |
|---|
| 188 | WRITE(numout,*) ' s-coord. (helsinki modification) ln_hpg_hel = ', ln_hpg_hel |
|---|
| 189 | WRITE(numout,*) ' s-coord. (weighted density jacobian) ln_hpg_wdj = ', ln_hpg_wdj |
|---|
| 190 | WRITE(numout,*) ' s-coord. (Density Jacobian: Cubic polynomial) ln_hpg_djc = ', ln_hpg_djc |
|---|
| 191 | WRITE(numout,*) ' s-coord. (ROTated axes scheme) ln_hpg_rot = ', ln_hpg_rot |
|---|
| 192 | WRITE(numout,*) ' weighting coeff. (wdj scheme) rn_gamma = ', rn_gamma |
|---|
| 193 | WRITE(numout,*) ' time stepping: centered (F) or semi-implicit (T) ln_dynhpg_imp = ', ln_dynhpg_imp |
|---|
| 194 | ENDIF |
|---|
| 195 | |
|---|
| 196 | IF( lk_vvl .AND. .NOT. ln_hpg_sco ) THEN |
|---|
| 197 | CALL ctl_stop( 'hpg_ctl_tam : variable volume key_vvl compatible only with the standard jacobian formulation hpg_sco') |
|---|
| 198 | ENDIF |
|---|
| 199 | |
|---|
| 200 | ! ! Set nhpg from ln_hpg_... flags |
|---|
| 201 | IF( ln_hpg_zco ) nhpg = 0 |
|---|
| 202 | IF( ln_hpg_zps ) nhpg = 1 |
|---|
| 203 | IF( ln_hpg_sco ) nhpg = 2 |
|---|
| 204 | IF( ln_hpg_hel ) nhpg = 3 |
|---|
| 205 | IF( ln_hpg_wdj ) nhpg = 4 |
|---|
| 206 | IF( ln_hpg_djc ) nhpg = 5 |
|---|
| 207 | IF( ln_hpg_rot ) nhpg = 6 |
|---|
| 208 | |
|---|
| 209 | ! ! Consitency check |
|---|
| 210 | ioptio = 0 |
|---|
| 211 | IF( ln_hpg_zco ) ioptio = ioptio + 1 |
|---|
| 212 | IF( ln_hpg_zps ) ioptio = ioptio + 1 |
|---|
| 213 | IF( ln_hpg_sco ) ioptio = ioptio + 1 |
|---|
| 214 | IF( ln_hpg_hel ) ioptio = ioptio + 1 |
|---|
| 215 | IF( ln_hpg_wdj ) ioptio = ioptio + 1 |
|---|
| 216 | IF( ln_hpg_djc ) ioptio = ioptio + 1 |
|---|
| 217 | IF( ln_hpg_rot ) ioptio = ioptio + 1 |
|---|
| 218 | IF ( ioptio /= 1 ) CALL ctl_stop( ' NO or several hydrostatic pressure gradient options used' ) |
|---|
| 219 | |
|---|
| 220 | ! |
|---|
| 221 | END SUBROUTINE hpg_ctl_tam |
|---|
| 222 | SUBROUTINE hpg_zco_tan( kt ) |
|---|
| 223 | !!--------------------------------------------------------------------- |
|---|
| 224 | !! *** ROUTINE hpg_zco_tan *** |
|---|
| 225 | !! |
|---|
| 226 | !! ** Method of the direct routine: |
|---|
| 227 | !! z-coordinate case, levels are horizontal surfaces. |
|---|
| 228 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 229 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 230 | !! density gradient along the model level from the suface to that |
|---|
| 231 | !! level: zhpi = grav ..... |
|---|
| 232 | !! zhpj = grav ..... |
|---|
| 233 | !! add it to the general momentum trend (ua,va). |
|---|
| 234 | !! ua = ua - 1/e1u * zhpi |
|---|
| 235 | !! va = va - 1/e2v * zhpj |
|---|
| 236 | !! |
|---|
| 237 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 238 | !!---------------------------------------------------------------------- |
|---|
| 239 | !! |
|---|
| 240 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 241 | !! |
|---|
| 242 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 243 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
|---|
| 244 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpitl, zhpjtl |
|---|
| 245 | !!---------------------------------------------------------------------- |
|---|
| 246 | |
|---|
| 247 | IF( kt == nit000 ) THEN |
|---|
| 248 | IF(lwp) WRITE(numout,*) |
|---|
| 249 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_tan : hydrostatic pressure gradient trend' |
|---|
| 250 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
|---|
| 251 | ENDIF |
|---|
| 252 | |
|---|
| 253 | ! Local constant initialization |
|---|
| 254 | zcoef0 = - grav * 0.5_wp |
|---|
| 255 | |
|---|
| 256 | ! Surface value |
|---|
| 257 | DO jj = 2, jpjm1 |
|---|
| 258 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 259 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 260 | ! hydrostatic pressure gradient |
|---|
| 261 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
|---|
| 262 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
|---|
| 263 | ! add to the general momentum trend |
|---|
| 264 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
|---|
| 265 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
|---|
| 266 | END DO |
|---|
| 267 | END DO |
|---|
| 268 | ! |
|---|
| 269 | ! interior value (2=<jk=<jpkm1) |
|---|
| 270 | DO jk = 2, jpkm1 |
|---|
| 271 | DO jj = 2, jpjm1 |
|---|
| 272 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 273 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 274 | ! hydrostatic pressure gradient |
|---|
| 275 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
|---|
| 276 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk)+rhd_tl(ji+1,jj,jk-1) ) & |
|---|
| 277 | & - ( rhd_tl(ji ,jj,jk)+rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
|---|
| 278 | |
|---|
| 279 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
|---|
| 280 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk)+rhd_tl(ji,jj+1,jk-1) ) & |
|---|
| 281 | & - ( rhd_tl(ji,jj, jk)+rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
|---|
| 282 | ! add to the general momentum trend |
|---|
| 283 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
|---|
| 284 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
|---|
| 285 | END DO |
|---|
| 286 | END DO |
|---|
| 287 | END DO |
|---|
| 288 | ! |
|---|
| 289 | END SUBROUTINE hpg_zco_tan |
|---|
| 290 | SUBROUTINE hpg_zco_adj( kt ) |
|---|
| 291 | !!--------------------------------------------------------------------- |
|---|
| 292 | !! *** ROUTINE hpg_zco_tan *** |
|---|
| 293 | !! |
|---|
| 294 | !! ** Method of the direct routine: |
|---|
| 295 | !! z-coordinate case, levels are horizontal surfaces. |
|---|
| 296 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 297 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 298 | !! density gradient along the model level from the suface to that |
|---|
| 299 | !! level: zhpi = grav ..... |
|---|
| 300 | !! zhpj = grav ..... |
|---|
| 301 | !! add it to the general momentum trend (ua,va). |
|---|
| 302 | !! ua = ua - 1/e1u * zhpi |
|---|
| 303 | !! va = va - 1/e2v * zhpj |
|---|
| 304 | !! |
|---|
| 305 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 306 | !!---------------------------------------------------------------------- |
|---|
| 307 | !! |
|---|
| 308 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 309 | !! |
|---|
| 310 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 311 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
|---|
| 312 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpiad, zhpjad |
|---|
| 313 | !!---------------------------------------------------------------------- |
|---|
| 314 | |
|---|
| 315 | IF( kt == nitend ) THEN |
|---|
| 316 | IF(lwp) WRITE(numout,*) |
|---|
| 317 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zco_adj : hydrostatic pressure gradient trend' |
|---|
| 318 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate case ' |
|---|
| 319 | ENDIF |
|---|
| 320 | ! adjoint variables initialization |
|---|
| 321 | zhpiad = 0.0_wp |
|---|
| 322 | zhpjad = 0.0_wp |
|---|
| 323 | ! Local constant initialization |
|---|
| 324 | zcoef0 = - grav * 0.5 |
|---|
| 325 | |
|---|
| 326 | ! interior value (2=<jk=<jpkm1) |
|---|
| 327 | DO jk = jpkm1, 2, -1 |
|---|
| 328 | DO jj = jpjm1, 2, -1 |
|---|
| 329 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 330 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 331 | ! add to the general momentum trend |
|---|
| 332 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
|---|
| 333 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
|---|
| 334 | ! hydrostatic pressure gradient |
|---|
| 335 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 336 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 337 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 338 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 339 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
|---|
| 340 | zhpjad(ji,jj ,jk ) = 0.0_wp |
|---|
| 341 | |
|---|
| 342 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 343 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 344 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 345 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 346 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
|---|
| 347 | zhpiad(ji ,jj,jk ) = 0.0_wp |
|---|
| 348 | |
|---|
| 349 | END DO |
|---|
| 350 | END DO |
|---|
| 351 | END DO |
|---|
| 352 | ! Surface value |
|---|
| 353 | DO jj = 2, jpjm1 |
|---|
| 354 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 355 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 356 | ! add to the general momentum trend |
|---|
| 357 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
|---|
| 358 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
|---|
| 359 | ! hydrostatic pressure gradient |
|---|
| 360 | rhd_ad(ji,jj+1,1) = rhd_ad(ji,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 361 | rhd_ad(ji,jj ,1) = rhd_ad(ji,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 362 | zhpjad(ji,jj,1) = 0.0_wp |
|---|
| 363 | |
|---|
| 364 | rhd_ad(ji+1,jj,1) = rhd_ad(ji+1,jj,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 365 | rhd_ad(ji ,jj,1) = rhd_ad(ji ,jj,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 366 | zhpiad(ji,jj,1) = 0.0_wp |
|---|
| 367 | END DO |
|---|
| 368 | END DO |
|---|
| 369 | ! |
|---|
| 370 | ! |
|---|
| 371 | END SUBROUTINE hpg_zco_adj |
|---|
| 372 | SUBROUTINE hpg_zps_tan( kt ) |
|---|
| 373 | !!--------------------------------------------------------------------- |
|---|
| 374 | !! *** ROUTINE hpg_zps *** |
|---|
| 375 | !! |
|---|
| 376 | !! ** Method of the direct routine: |
|---|
| 377 | !! z-coordinate plus partial steps case. blahblah... |
|---|
| 378 | !! |
|---|
| 379 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 380 | !!---------------------------------------------------------------------- |
|---|
| 381 | !! |
|---|
| 382 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 383 | !! |
|---|
| 384 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 385 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 386 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
|---|
| 387 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zhpitl, zhpjtl |
|---|
| 388 | !!---------------------------------------------------------------------- |
|---|
| 389 | |
|---|
| 390 | IF( kt == nit000 ) THEN |
|---|
| 391 | IF(lwp) WRITE(numout,*) |
|---|
| 392 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_tan : hydrostatic pressure gradient trend' |
|---|
| 393 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
|---|
| 394 | ENDIF |
|---|
| 395 | |
|---|
| 396 | ! Local constant initialization |
|---|
| 397 | zcoef0 = - grav * 0.5 |
|---|
| 398 | |
|---|
| 399 | ! Surface value |
|---|
| 400 | DO jj = 2, jpjm1 |
|---|
| 401 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 402 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 403 | ! hydrostatic pressure gradient |
|---|
| 404 | zhpitl(ji,jj,1) = zcoef1 * ( rhd_tl(ji+1,jj ,1) - rhd_tl(ji,jj,1) ) / e1u(ji,jj) |
|---|
| 405 | zhpjtl(ji,jj,1) = zcoef1 * ( rhd_tl(ji ,jj+1,1) - rhd_tl(ji,jj,1) ) / e2v(ji,jj) |
|---|
| 406 | ! add to the general momentum trend |
|---|
| 407 | ua_tl(ji,jj,1) = ua_tl(ji,jj,1) + zhpitl(ji,jj,1) |
|---|
| 408 | va_tl(ji,jj,1) = va_tl(ji,jj,1) + zhpjtl(ji,jj,1) |
|---|
| 409 | END DO |
|---|
| 410 | END DO |
|---|
| 411 | |
|---|
| 412 | ! interior value (2=<jk=<jpkm1) |
|---|
| 413 | DO jk = 2, jpkm1 |
|---|
| 414 | DO jj = 2, jpjm1 |
|---|
| 415 | DO ji = fs_2, fs_jpim1 ! vector opt. |
|---|
| 416 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 417 | ! hydrostatic pressure gradient |
|---|
| 418 | zhpitl(ji,jj,jk) = zhpitl(ji,jj,jk-1) & |
|---|
| 419 | & + zcoef1 * ( ( rhd_tl(ji+1,jj,jk) + rhd_tl(ji+1,jj,jk-1) ) & |
|---|
| 420 | & - ( rhd_tl(ji ,jj,jk) + rhd_tl(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
|---|
| 421 | |
|---|
| 422 | zhpjtl(ji,jj,jk) = zhpjtl(ji,jj,jk-1) & |
|---|
| 423 | & + zcoef1 * ( ( rhd_tl(ji,jj+1,jk) + rhd_tl(ji,jj+1,jk-1) ) & |
|---|
| 424 | & - ( rhd_tl(ji,jj, jk) + rhd_tl(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
|---|
| 425 | ! add to the general momentum trend |
|---|
| 426 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zhpitl(ji,jj,jk) |
|---|
| 427 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zhpjtl(ji,jj,jk) |
|---|
| 428 | END DO |
|---|
| 429 | END DO |
|---|
| 430 | END DO |
|---|
| 431 | |
|---|
| 432 | ! partial steps correction at the last level (new gradient with intgrd.F) |
|---|
| 433 | # if defined key_vectopt_loop |
|---|
| 434 | jj = 1 |
|---|
| 435 | DO ji = jpi+2, jpij-jpi-1 ! vector opt. (forced unrolling) |
|---|
| 436 | # else |
|---|
| 437 | DO jj = 2, jpjm1 |
|---|
| 438 | DO ji = 2, jpim1 |
|---|
| 439 | # endif |
|---|
| 440 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
|---|
| 441 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
|---|
| 442 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
|---|
| 443 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
|---|
| 444 | ! on i-direction |
|---|
| 445 | IF ( iku > 2 ) THEN |
|---|
| 446 | ! subtract old value |
|---|
| 447 | ua_tl(ji,jj,iku) = ua_tl(ji,jj,iku) - zhpitl(ji,jj,iku) |
|---|
| 448 | ! compute the new one |
|---|
| 449 | zhpitl (ji,jj,iku) = zhpitl(ji,jj,iku-1) & |
|---|
| 450 | + zcoef2 * ( rhd_tl(ji+1,jj,iku-1) - rhd_tl(ji,jj,iku-1) + gru_tl(ji,jj) ) / e1u(ji,jj) |
|---|
| 451 | ! add the new one to the general momentum trend |
|---|
| 452 | ua_tl(ji,jj,iku) = ua_tl(ji,jj,iku) + zhpitl(ji,jj,iku) |
|---|
| 453 | ENDIF |
|---|
| 454 | ! on j-direction |
|---|
| 455 | IF ( ikv > 2 ) THEN |
|---|
| 456 | ! subtract old value |
|---|
| 457 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) - zhpjtl(ji,jj,ikv) |
|---|
| 458 | ! compute the new one |
|---|
| 459 | zhpjtl (ji,jj,ikv) = zhpjtl(ji,jj,ikv-1) & |
|---|
| 460 | + zcoef3 * ( rhd_tl(ji,jj+1,ikv-1) - rhd_tl(ji,jj,ikv-1) + grv_tl(ji,jj) ) / e2v(ji,jj) |
|---|
| 461 | ! add the new one to the general momentum trend |
|---|
| 462 | va_tl(ji,jj,ikv) = va_tl(ji,jj,ikv) + zhpjtl(ji,jj,ikv) |
|---|
| 463 | ENDIF |
|---|
| 464 | # if ! defined key_vectopt_loop |
|---|
| 465 | END DO |
|---|
| 466 | # endif |
|---|
| 467 | END DO |
|---|
| 468 | ! |
|---|
| 469 | END SUBROUTINE hpg_zps_tan |
|---|
| 470 | SUBROUTINE hpg_zps_adj( kt ) |
|---|
| 471 | !!--------------------------------------------------------------------- |
|---|
| 472 | !! *** ROUTINE hpg_zps *** |
|---|
| 473 | !! |
|---|
| 474 | !! ** Method of the direct routine: |
|---|
| 475 | !! z-coordinate plus partial steps case. blahblah... |
|---|
| 476 | !! |
|---|
| 477 | !! ** Action : - Update (ua_tl,va_tl) with the now hydrastatic pressure trend |
|---|
| 478 | !!---------------------------------------------------------------------- |
|---|
| 479 | !! |
|---|
| 480 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 481 | !! |
|---|
| 482 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 483 | INTEGER :: iku, ikv ! temporary integers |
|---|
| 484 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
|---|
| 485 | REAL(wp), DIMENSION(jpi,jpj,jpk):: zhpiad, zhpjad |
|---|
| 486 | !!---------------------------------------------------------------------- |
|---|
| 487 | |
|---|
| 488 | IF( kt == nitend ) THEN |
|---|
| 489 | IF(lwp) WRITE(numout,*) |
|---|
| 490 | IF(lwp) WRITE(numout,*) 'dyn:hpg_zps_adj : hydrostatic pressure gradient trend' |
|---|
| 491 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
|---|
| 492 | ENDIF |
|---|
| 493 | zhpiad(:,:,:) = 0.0_wp |
|---|
| 494 | zhpjad(:,:,:) = 0.0_wp |
|---|
| 495 | ! Local constant initialization |
|---|
| 496 | zcoef0 = - grav * 0.5 |
|---|
| 497 | |
|---|
| 498 | ! partial steps correction at the last level (new gradient with intgrd.F) |
|---|
| 499 | # if defined key_vectopt_loop |
|---|
| 500 | jj = 1 |
|---|
| 501 | DO ji = jpij-jpi-1, jpi+2, -1 ! vector opt. (forced unrolling) |
|---|
| 502 | # else |
|---|
| 503 | DO jj = jpjm1, 2, -1 |
|---|
| 504 | DO ji = jpim1, 2, -1 |
|---|
| 505 | # endif |
|---|
| 506 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
|---|
| 507 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
|---|
| 508 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
|---|
| 509 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
|---|
| 510 | ! on i-direction |
|---|
| 511 | IF ( iku > 2 ) THEN |
|---|
| 512 | ! add the new one to the general momentum trend |
|---|
| 513 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) + ua_ad(ji,jj,iku) |
|---|
| 514 | ! compute the new one |
|---|
| 515 | rhd_ad(ji+1,jj,iku-1) = rhd_ad(ji+1,jj,iku-1) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 516 | rhd_ad(ji,jj,iku-1) = rhd_ad(ji,jj,iku-1) - zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 517 | gru_ad(ji,jj) = gru_ad(ji,jj) + zhpiad (ji,jj,iku) * zcoef2 / e1u(ji,jj) |
|---|
| 518 | zhpiad(ji,jj,iku-1) = zhpiad(ji,jj,iku-1) + zhpiad (ji,jj,iku) |
|---|
| 519 | zhpiad (ji,jj,iku) = 0.0_wp |
|---|
| 520 | ! subtract old value |
|---|
| 521 | zhpiad(ji,jj,iku) = zhpiad(ji,jj,iku) - ua_ad(ji,jj,iku) |
|---|
| 522 | ENDIF |
|---|
| 523 | ! on j-direction |
|---|
| 524 | IF ( ikv > 2 ) THEN |
|---|
| 525 | ! add the new one to the general momentum trend |
|---|
| 526 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) + va_ad(ji,jj,ikv) |
|---|
| 527 | ! compute the new one |
|---|
| 528 | rhd_ad(ji,jj+1,ikv-1) = rhd_ad(ji,jj+1,ikv-1) + zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 529 | rhd_ad(ji,jj,ikv-1) = rhd_ad(ji,jj,ikv-1) -zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 530 | grv_ad(ji,jj) = grv_ad(ji,jj) +zhpjad (ji,jj,ikv) * zcoef3 / e2v(ji,jj) |
|---|
| 531 | zhpjad(ji,jj,ikv-1) = zhpjad(ji,jj,ikv-1) + zhpjad(ji,jj,ikv) |
|---|
| 532 | zhpjad (ji,jj,ikv) = 0.0_wp |
|---|
| 533 | ! subtract old value |
|---|
| 534 | zhpjad(ji,jj,ikv) = zhpjad(ji,jj,ikv) - va_ad(ji,jj,ikv) |
|---|
| 535 | ENDIF |
|---|
| 536 | # if ! defined key_vectopt_loop |
|---|
| 537 | END DO |
|---|
| 538 | # endif |
|---|
| 539 | END DO |
|---|
| 540 | ! |
|---|
| 541 | |
|---|
| 542 | |
|---|
| 543 | ! interior value (2=<jk=<jpkm1) |
|---|
| 544 | DO jk = jpkm1, 2, -1 |
|---|
| 545 | DO jj = jpjm1, 2, -1 |
|---|
| 546 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 547 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
|---|
| 548 | ! add to the general momentum trend |
|---|
| 549 | zhpiad(ji,jj,jk) = zhpiad(ji,jj,jk) + ua_ad(ji,jj,jk) |
|---|
| 550 | zhpjad(ji,jj,jk) = zhpjad(ji,jj,jk) + va_ad(ji,jj,jk) |
|---|
| 551 | ! hydrostatic pressure gradient |
|---|
| 552 | rhd_ad(ji,jj+1,jk ) = rhd_ad(ji,jj+1,jk ) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 553 | rhd_ad(ji,jj+1,jk-1) = rhd_ad(ji,jj+1,jk-1) + zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 554 | rhd_ad(ji,jj ,jk ) = rhd_ad(ji,jj ,jk ) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 555 | rhd_ad(ji,jj ,jk-1) = rhd_ad(ji,jj ,jk-1) - zhpjad(ji,jj,jk) * zcoef1 / e2v(ji,jj) |
|---|
| 556 | zhpjad(ji,jj ,jk-1) = zhpjad(ji,jj ,jk-1) + zhpjad(ji,jj,jk) |
|---|
| 557 | zhpjad(ji,jj ,jk ) = 0.0_wp |
|---|
| 558 | |
|---|
| 559 | rhd_ad(ji+1,jj,jk ) = rhd_ad(ji+1,jj,jk ) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 560 | rhd_ad(ji+1,jj,jk-1) = rhd_ad(ji+1,jj,jk-1) + zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 561 | rhd_ad(ji ,jj,jk ) = rhd_ad(ji ,jj,jk ) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 562 | rhd_ad(ji ,jj,jk-1) = rhd_ad(ji ,jj,jk-1) - zhpiad(ji,jj,jk) * zcoef1 / e1u(ji,jj) |
|---|
| 563 | zhpiad(ji ,jj,jk-1) = zhpiad(ji ,jj,jk-1) + zhpiad(ji,jj,jk) |
|---|
| 564 | zhpiad(ji ,jj,jk ) = 0.0_wp |
|---|
| 565 | END DO |
|---|
| 566 | END DO |
|---|
| 567 | END DO |
|---|
| 568 | ! Surface value |
|---|
| 569 | DO jj = jpjm1, 2, -1 |
|---|
| 570 | DO ji = fs_jpim1, fs_2, -1 ! vector opt. |
|---|
| 571 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
|---|
| 572 | ! add to the general momentum trend |
|---|
| 573 | zhpiad(ji,jj,1) = zhpiad(ji,jj,1) + ua_ad(ji,jj,1) |
|---|
| 574 | zhpjad(ji,jj,1) = zhpjad(ji,jj,1) + va_ad(ji,jj,1) |
|---|
| 575 | ! hydrostatic pressure gradient |
|---|
| 576 | rhd_ad(ji+1,jj ,1) = rhd_ad(ji+1,jj ,1) + zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 577 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpiad(ji,jj,1) * zcoef1 / e1u(ji,jj) |
|---|
| 578 | rhd_ad(ji ,jj+1,1) = rhd_ad(ji ,jj+1,1) + zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 579 | rhd_ad(ji ,jj ,1) = rhd_ad(ji ,jj ,1) - zhpjad(ji,jj,1) * zcoef1 / e2v(ji,jj) |
|---|
| 580 | zhpiad(ji ,jj ,1) = 0.0_wp |
|---|
| 581 | zhpjad(ji ,jj ,1) = 0.0_wp |
|---|
| 582 | END DO |
|---|
| 583 | END DO |
|---|
| 584 | |
|---|
| 585 | END SUBROUTINE hpg_zps_adj |
|---|
| 586 | SUBROUTINE hpg_sco_tan( kt ) |
|---|
| 587 | !!--------------------------------------------------------------------- |
|---|
| 588 | !! *** ROUTINE hpg_sco_tan *** |
|---|
| 589 | !! |
|---|
| 590 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
|---|
| 591 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 592 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 593 | !! density gradient along the model level from the suface to that |
|---|
| 594 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 595 | !! to the horizontal pressure gradient : |
|---|
| 596 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 597 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 598 | !! add it to the general momentum trend (ua,va). |
|---|
| 599 | !! ua = ua - 1/e1u * zhpi |
|---|
| 600 | !! va = va - 1/e2v * zhpj |
|---|
| 601 | !! |
|---|
| 602 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 603 | !!---------------------------------------------------------------------- |
|---|
| 604 | !! |
|---|
| 605 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 606 | CALL ctl_stop( 'hpg_sco_tan not available yet') |
|---|
| 607 | END SUBROUTINE hpg_sco_tan |
|---|
| 608 | SUBROUTINE hpg_sco_adj( kt ) |
|---|
| 609 | !!--------------------------------------------------------------------- |
|---|
| 610 | !! *** ROUTINE hpg_sco_adj *** |
|---|
| 611 | !! |
|---|
| 612 | !! ** Method of the direct routine: s-coordinate case. Jacobian scheme. |
|---|
| 613 | !! The now hydrostatic pressure gradient at a given level, jk, |
|---|
| 614 | !! is computed by taking the vertical integral of the in-situ |
|---|
| 615 | !! density gradient along the model level from the suface to that |
|---|
| 616 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 617 | !! to the horizontal pressure gradient : |
|---|
| 618 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 619 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 620 | !! add it to the general momentum trend (ua,va). |
|---|
| 621 | !! ua = ua - 1/e1u * zhpi |
|---|
| 622 | !! va = va - 1/e2v * zhpj |
|---|
| 623 | !! |
|---|
| 624 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 625 | !!---------------------------------------------------------------------- |
|---|
| 626 | !! |
|---|
| 627 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 628 | CALL ctl_stop( 'hpg_sco_adj not available yet') |
|---|
| 629 | END SUBROUTINE hpg_sco_adj |
|---|
| 630 | SUBROUTINE hpg_hel_tan( kt ) |
|---|
| 631 | !!--------------------------------------------------------------------- |
|---|
| 632 | !! *** ROUTINE hpg_hel_tan *** |
|---|
| 633 | !! |
|---|
| 634 | !! ** Method of the direct routine: s-coordinate case. |
|---|
| 635 | !! The now hydrostatic pressure gradient at a given level |
|---|
| 636 | !! jk is computed by taking the vertical integral of the in-situ |
|---|
| 637 | !! density gradient along the model level from the suface to that |
|---|
| 638 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 639 | !! to the horizontal pressure gradient : |
|---|
| 640 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 641 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 642 | !! add it to the general momentum trend (ua,va). |
|---|
| 643 | !! ua = ua - 1/e1u * zhpi |
|---|
| 644 | !! va = va - 1/e2v * zhpj |
|---|
| 645 | !! |
|---|
| 646 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 647 | !! - Save the trend (l_trddyn=T) |
|---|
| 648 | !!---------------------------------------------------------------------- |
|---|
| 649 | !! |
|---|
| 650 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 651 | CALL ctl_stop( 'hpg_hel_tan not available yet') |
|---|
| 652 | END SUBROUTINE hpg_hel_tan |
|---|
| 653 | SUBROUTINE hpg_hel_adj( kt ) |
|---|
| 654 | !!--------------------------------------------------------------------- |
|---|
| 655 | !! *** ROUTINE hpg_hel_adj *** |
|---|
| 656 | !! |
|---|
| 657 | !! ** Method of the direct routine: s-coordinate case. |
|---|
| 658 | !! The now hydrostatic pressure gradient at a given level |
|---|
| 659 | !! jk is computed by taking the vertical integral of the in-situ |
|---|
| 660 | !! density gradient along the model level from the suface to that |
|---|
| 661 | !! level. s-coordinates (ln_sco): a corrective term is added |
|---|
| 662 | !! to the horizontal pressure gradient : |
|---|
| 663 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
|---|
| 664 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
|---|
| 665 | !! add it to the general momentum trend (ua,va). |
|---|
| 666 | !! ua = ua - 1/e1u * zhpi |
|---|
| 667 | !! va = va - 1/e2v * zhpj |
|---|
| 668 | !! |
|---|
| 669 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
|---|
| 670 | !! - Save the trend (l_trddyn=T) |
|---|
| 671 | !!---------------------------------------------------------------------- |
|---|
| 672 | !! |
|---|
| 673 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 674 | CALL ctl_stop( 'hpg_hel_adj not available yet') |
|---|
| 675 | END SUBROUTINE hpg_hel_adj |
|---|
| 676 | SUBROUTINE hpg_wdj_tan( kt ) |
|---|
| 677 | !!--------------------------------------------------------------------- |
|---|
| 678 | !! *** ROUTINE hpg_wdj_tan *** |
|---|
| 679 | !! |
|---|
| 680 | !! ** Method of the direct roiutine: |
|---|
| 681 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
|---|
| 682 | !! The weighting coefficients from the namelist parameter gamm |
|---|
| 683 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
|---|
| 684 | !! |
|---|
| 685 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
|---|
| 686 | !!---------------------------------------------------------------------- |
|---|
| 687 | !! |
|---|
| 688 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 689 | CALL ctl_stop( 'hpg_wdj_tan not available yet') |
|---|
| 690 | END SUBROUTINE hpg_wdj_tan |
|---|
| 691 | SUBROUTINE hpg_wdj_adj( kt ) |
|---|
| 692 | !!--------------------------------------------------------------------- |
|---|
| 693 | !! *** ROUTINE hpg_wdj_adj *** |
|---|
| 694 | !! |
|---|
| 695 | !! ** Method of the direct roiutine: |
|---|
| 696 | !! Weighted Density Jacobian (wdj) scheme (song 1998) |
|---|
| 697 | !! The weighting coefficients from the namelist parameter gamm |
|---|
| 698 | !! (alpha=0.5-gamm ; beta=1-alpha=0.5+gamm) |
|---|
| 699 | !! |
|---|
| 700 | !! Reference : Song, Mon. Wea. Rev., 126, 3213-3230, 1998. |
|---|
| 701 | !!---------------------------------------------------------------------- |
|---|
| 702 | !! |
|---|
| 703 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 704 | CALL ctl_stop( 'hpg_wdj_adj not available yet') |
|---|
| 705 | END SUBROUTINE hpg_wdj_adj |
|---|
| 706 | SUBROUTINE hpg_djc_tan( kt ) |
|---|
| 707 | !!--------------------------------------------------------------------- |
|---|
| 708 | !! *** ROUTINE hpg_djc_tan *** |
|---|
| 709 | !! |
|---|
| 710 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
|---|
| 711 | !! |
|---|
| 712 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
|---|
| 713 | !!---------------------------------------------------------------------- |
|---|
| 714 | !! |
|---|
| 715 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 716 | !! |
|---|
| 717 | CALL ctl_stop( 'hpg_djc_tan not available yet') |
|---|
| 718 | END SUBROUTINE hpg_djc_tan |
|---|
| 719 | SUBROUTINE hpg_djc_adj( kt ) |
|---|
| 720 | !!--------------------------------------------------------------------- |
|---|
| 721 | !! *** ROUTINE hpg_djc_adj *** |
|---|
| 722 | !! |
|---|
| 723 | !! ** Method : Density Jacobian with Cubic polynomial scheme |
|---|
| 724 | !! |
|---|
| 725 | !! Reference: Shchepetkin and McWilliams, J. Geophys. Res., 108(C3), 3090, 2003 |
|---|
| 726 | !!---------------------------------------------------------------------- |
|---|
| 727 | !! |
|---|
| 728 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 729 | !! |
|---|
| 730 | CALL ctl_stop( 'hpg_djc_adj not available yet') |
|---|
| 731 | END SUBROUTINE hpg_djc_adj |
|---|
| 732 | SUBROUTINE hpg_rot_tan( kt ) |
|---|
| 733 | !!--------------------------------------------------------------------- |
|---|
| 734 | !! *** ROUTINE hpg_rot_tan *** |
|---|
| 735 | !! |
|---|
| 736 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
|---|
| 737 | !! |
|---|
| 738 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
|---|
| 739 | !!---------------------------------------------------------------------- |
|---|
| 740 | !! |
|---|
| 741 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 742 | !! |
|---|
| 743 | CALL ctl_stop( 'hpg_rot_tan not available yet') |
|---|
| 744 | END SUBROUTINE hpg_rot_tan |
|---|
| 745 | SUBROUTINE hpg_rot_adj( kt ) |
|---|
| 746 | !!--------------------------------------------------------------------- |
|---|
| 747 | !! *** ROUTINE hpg_rot_adj *** |
|---|
| 748 | !! |
|---|
| 749 | !! ** Method : rotated axes scheme (Thiem and Berntsen 2005) |
|---|
| 750 | !! |
|---|
| 751 | !! Reference: Thiem & Berntsen, Ocean Modelling, In press, 2005. |
|---|
| 752 | !!---------------------------------------------------------------------- |
|---|
| 753 | !! |
|---|
| 754 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 755 | !! |
|---|
| 756 | CALL ctl_stop( 'hpg_rot_adj not available yet') |
|---|
| 757 | END SUBROUTINE hpg_rot_adj |
|---|
| 758 | |
|---|
| 759 | SUBROUTINE dyn_hpg_adj_tst( kumadt ) |
|---|
| 760 | !!----------------------------------------------------------------------- |
|---|
| 761 | !! |
|---|
| 762 | !! *** ROUTINE dynhpg_adj_tst *** |
|---|
| 763 | !! |
|---|
| 764 | !! ** Purpose : Test the adjoint routine. |
|---|
| 765 | !! |
|---|
| 766 | !! ** Method : Verify the scalar product |
|---|
| 767 | !! |
|---|
| 768 | !! ( L dx )^T W dy = dx^T L^T W dy |
|---|
| 769 | !! |
|---|
| 770 | !! where L = tangent routine |
|---|
| 771 | !! L^T = adjoint routine |
|---|
| 772 | !! W = diagonal matrix of scale factors |
|---|
| 773 | !! dx = input perturbation (random field) |
|---|
| 774 | !! dy = L dx |
|---|
| 775 | !! |
|---|
| 776 | !! ** Action : Separate tests are applied for the following dx and dy: |
|---|
| 777 | !! |
|---|
| 778 | !! 1) dx = ( SSH ) and dy = ( SSH ) |
|---|
| 779 | !! |
|---|
| 780 | !! History : |
|---|
| 781 | !! ! 08-07 (A. Vidard) |
|---|
| 782 | !!----------------------------------------------------------------------- |
|---|
| 783 | !! * Modules used |
|---|
| 784 | |
|---|
| 785 | !! * Arguments |
|---|
| 786 | INTEGER, INTENT(IN) :: & |
|---|
| 787 | & kumadt ! Output unit |
|---|
| 788 | |
|---|
| 789 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 790 | & zrhd_tlin, & ! in situ density anomalie |
|---|
| 791 | & zua_tlin, & ! after u- velocity |
|---|
| 792 | & zva_tlin, & ! after v- velocity |
|---|
| 793 | & zua_tlout, & ! after u- velocity |
|---|
| 794 | & zva_tlout ! after v- velocity |
|---|
| 795 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 796 | & zrhd_adout, & ! in situ density anomalie |
|---|
| 797 | & zua_adout, & ! after u- velocity |
|---|
| 798 | & zva_adout, & ! after v- velocity |
|---|
| 799 | & zua_adin, & ! after u- velocity |
|---|
| 800 | & zva_adin ! after v- velocity |
|---|
| 801 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 802 | & zgru_tlin, & |
|---|
| 803 | & zgrv_tlin, & |
|---|
| 804 | & zgru_adout, & |
|---|
| 805 | & zgrv_adout |
|---|
| 806 | |
|---|
| 807 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 808 | & zrh, & ! 3D random field for rhd |
|---|
| 809 | & zau, & ! 3D random field for u |
|---|
| 810 | & zav ! 3D random field for v |
|---|
| 811 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 812 | & zgru, & ! 2D random field for gru |
|---|
| 813 | & zgrv ! 2D random field for grv |
|---|
| 814 | REAL(KIND=wp) :: & |
|---|
| 815 | & zsp1, & ! scalar product involving the tangent routine |
|---|
| 816 | & zsp1_1, & ! scalar product components |
|---|
| 817 | & zsp1_2, & |
|---|
| 818 | & zsp2, & ! scalar product involving the adjoint routine |
|---|
| 819 | & zsp2_1, & ! scalar product components |
|---|
| 820 | & zsp2_2, & |
|---|
| 821 | & zsp2_3, & |
|---|
| 822 | & zsp2_4, & |
|---|
| 823 | & zsp2_5 |
|---|
| 824 | INTEGER, DIMENSION(jpi,jpj) :: & |
|---|
| 825 | & iseed_2d ! 2D seed for the random number generator |
|---|
| 826 | INTEGER :: & |
|---|
| 827 | & iseed, & |
|---|
| 828 | & ji, & |
|---|
| 829 | & jj, & |
|---|
| 830 | & jk |
|---|
| 831 | CHARACTER(LEN=14) :: cl_name |
|---|
| 832 | |
|---|
| 833 | ! Allocate memory |
|---|
| 834 | ALLOCATE( & |
|---|
| 835 | & zrhd_tlin(jpi,jpj,jpk), & |
|---|
| 836 | & zua_tlin(jpi,jpj,jpk), & |
|---|
| 837 | & zva_tlin(jpi,jpj,jpk), & |
|---|
| 838 | & zgru_tlin(jpi,jpj), & |
|---|
| 839 | & zgrv_tlin(jpi,jpj), & |
|---|
| 840 | & zua_tlout(jpi,jpj,jpk), & |
|---|
| 841 | & zva_tlout(jpi,jpj,jpk), & |
|---|
| 842 | & zrhd_adout(jpi,jpj,jpk), & |
|---|
| 843 | & zua_adout(jpi,jpj,jpk), & |
|---|
| 844 | & zva_adout(jpi,jpj,jpk), & |
|---|
| 845 | & zgru_adout(jpi,jpj), & |
|---|
| 846 | & zgrv_adout(jpi,jpj), & |
|---|
| 847 | & zua_adin(jpi,jpj,jpk), & |
|---|
| 848 | & zva_adin(jpi,jpj,jpk), & |
|---|
| 849 | & zrh(jpi,jpj,jpk), & |
|---|
| 850 | & zau(jpi,jpj,jpk), & |
|---|
| 851 | & zav(jpi,jpj,jpk), & |
|---|
| 852 | & zgru(jpi,jpj), & |
|---|
| 853 | & zgrv(jpi,jpj) & |
|---|
| 854 | & ) |
|---|
| 855 | |
|---|
| 856 | |
|---|
| 857 | !================================================================== |
|---|
| 858 | ! 1) dx = ( un_tl, vn_tl, hdivn_tl ) and |
|---|
| 859 | ! dy = ( hdivb_tl, hdivn_tl ) |
|---|
| 860 | !================================================================== |
|---|
| 861 | |
|---|
| 862 | !-------------------------------------------------------------------- |
|---|
| 863 | ! Reset the tangent and adjoint variables |
|---|
| 864 | !-------------------------------------------------------------------- |
|---|
| 865 | zrhd_tlin(:,:,:) = 0.0_wp |
|---|
| 866 | zua_tlin(:,:,:) = 0.0_wp |
|---|
| 867 | zva_tlin(:,:,:) = 0.0_wp |
|---|
| 868 | zgru_tlin(:,:) = 0.0_wp |
|---|
| 869 | zgrv_tlin(:,:) = 0.0_wp |
|---|
| 870 | zua_tlout(:,:,:) = 0.0_wp |
|---|
| 871 | zva_tlout(:,:,:) = 0.0_wp |
|---|
| 872 | zgru_adout(:,:) = 0.0_wp |
|---|
| 873 | zgrv_adout(:,:) = 0.0_wp |
|---|
| 874 | zrhd_adout(:,:,:) = 0.0_wp |
|---|
| 875 | zua_adout(:,:,:) = 0.0_wp |
|---|
| 876 | zva_adout(:,:,:) = 0.0_wp |
|---|
| 877 | zua_adin(:,:,:) = 0.0_wp |
|---|
| 878 | zva_adin(:,:,:) = 0.0_wp |
|---|
| 879 | zrh(:,:,:) = 0.0_wp |
|---|
| 880 | zau(:,:,:) = 0.0_wp |
|---|
| 881 | zav(:,:,:) = 0.0_wp |
|---|
| 882 | zgru(:,:) = 0.0_wp |
|---|
| 883 | zgrv(:,:) = 0.0_wp |
|---|
| 884 | |
|---|
| 885 | |
|---|
| 886 | gru_tl(:,:) = 0.0_wp |
|---|
| 887 | grv_tl(:,:) = 0.0_wp |
|---|
| 888 | gru_ad(:,:) = 0.0_wp |
|---|
| 889 | grv_ad(:,:) = 0.0_wp |
|---|
| 890 | ua_tl(:,:,:) = 0.0_wp |
|---|
| 891 | va_tl(:,:,:) = 0.0_wp |
|---|
| 892 | rhd_tl(:,:,:) = 0.0_wp |
|---|
| 893 | ua_ad(:,:,:) = 0.0_wp |
|---|
| 894 | va_ad(:,:,:) = 0.0_wp |
|---|
| 895 | rhd_ad(:,:,:) = 0.0_wp |
|---|
| 896 | |
|---|
| 897 | !-------------------------------------------------------------------- |
|---|
| 898 | ! Initialize the tangent input with random noise: dx |
|---|
| 899 | !-------------------------------------------------------------------- |
|---|
| 900 | |
|---|
| 901 | DO jj = 1, jpj |
|---|
| 902 | DO ji = 1, jpi |
|---|
| 903 | iseed_2d(ji,jj) = - ( 596035 + & |
|---|
| 904 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 905 | END DO |
|---|
| 906 | END DO |
|---|
| 907 | CALL grid_random( iseed_2d, zau, 'U', 0.0_wp, stdu ) |
|---|
| 908 | |
|---|
| 909 | DO jj = 1, jpj |
|---|
| 910 | DO ji = 1, jpi |
|---|
| 911 | iseed_2d(ji,jj) = - ( 523432 + & |
|---|
| 912 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 913 | END DO |
|---|
| 914 | END DO |
|---|
| 915 | CALL grid_random( iseed_2d, zav, 'V', 0.0_wp, stdv ) |
|---|
| 916 | |
|---|
| 917 | DO jj = 1, jpj |
|---|
| 918 | DO ji = 1, jpi |
|---|
| 919 | iseed_2d(ji,jj) = - ( 456953 + & |
|---|
| 920 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 921 | END DO |
|---|
| 922 | END DO |
|---|
| 923 | CALL grid_random( iseed_2d, zrh, 'W', 0.0_wp, stdr ) |
|---|
| 924 | |
|---|
| 925 | DO jj = 1, jpj |
|---|
| 926 | DO ji = 1, jpi |
|---|
| 927 | iseed_2d(ji,jj) = - ( 432545 + & |
|---|
| 928 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 929 | END DO |
|---|
| 930 | END DO |
|---|
| 931 | CALL grid_random( iseed_2d, zgru, 'U', 0.0_wp, stdu ) |
|---|
| 932 | |
|---|
| 933 | DO jj = 1, jpj |
|---|
| 934 | DO ji = 1, jpi |
|---|
| 935 | iseed_2d(ji,jj) = - ( 287503 + & |
|---|
| 936 | & mig(ji) + ( mjg(jj) - 1 ) * jpiglo ) |
|---|
| 937 | END DO |
|---|
| 938 | END DO |
|---|
| 939 | CALL grid_random( iseed_2d, zgrv, 'V', 0.0_wp, stdv ) |
|---|
| 940 | |
|---|
| 941 | DO jk = 1, jpk |
|---|
| 942 | DO jj = nldj, nlej |
|---|
| 943 | DO ji = nldi, nlei |
|---|
| 944 | zrhd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
|---|
| 945 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
|---|
| 946 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
|---|
| 947 | END DO |
|---|
| 948 | END DO |
|---|
| 949 | END DO |
|---|
| 950 | DO jj = nldj, nlej |
|---|
| 951 | DO ji = nldi, nlei |
|---|
| 952 | zgru_tlin(ji,jj) = zgru(ji,jj) |
|---|
| 953 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
|---|
| 954 | END DO |
|---|
| 955 | END DO |
|---|
| 956 | ua_tl(:,:,:) = zua_tlin(:,:,:) |
|---|
| 957 | va_tl(:,:,:) = zva_tlin(:,:,:) |
|---|
| 958 | rhd_tl(:,:,:) = zrhd_tlin(:,:,:) |
|---|
| 959 | gru_tl(:,:) = zgru_tlin(:,:) |
|---|
| 960 | grv_tl(:,:) = zgrv_tlin(:,:) |
|---|
| 961 | |
|---|
| 962 | CALL dyn_hpg_tan ( nit000 ) |
|---|
| 963 | |
|---|
| 964 | zua_tlout(:,:,:) = ua_tl(:,:,:) |
|---|
| 965 | zva_tlout(:,:,:) = va_tl(:,:,:) |
|---|
| 966 | !-------------------------------------------------------------------- |
|---|
| 967 | ! Initialize the adjoint variables: dy^* = W dy |
|---|
| 968 | !-------------------------------------------------------------------- |
|---|
| 969 | |
|---|
| 970 | DO jk = 1, jpk |
|---|
| 971 | DO jj = nldj, nlej |
|---|
| 972 | DO ji = nldi, nlei |
|---|
| 973 | zua_adin(ji,jj,jk) = zua_tlout(ji,jj,jk) & |
|---|
| 974 | & * e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) & |
|---|
| 975 | & * umask(ji,jj,jk) |
|---|
| 976 | zva_adin(ji,jj,jk) = zva_tlout(ji,jj,jk) & |
|---|
| 977 | & * e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) & |
|---|
| 978 | & * vmask(ji,jj,jk) |
|---|
| 979 | END DO |
|---|
| 980 | END DO |
|---|
| 981 | END DO |
|---|
| 982 | !-------------------------------------------------------------------- |
|---|
| 983 | ! Compute the scalar product: ( L dx )^T W dy |
|---|
| 984 | !-------------------------------------------------------------------- |
|---|
| 985 | |
|---|
| 986 | zsp1_1 = DOT_PRODUCT( zua_tlout, zua_adin ) |
|---|
| 987 | zsp1_2 = DOT_PRODUCT( zva_tlout, zva_adin ) |
|---|
| 988 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 989 | |
|---|
| 990 | !-------------------------------------------------------------------- |
|---|
| 991 | ! Call the adjoint routine: dx^* = L^T dy^* |
|---|
| 992 | !-------------------------------------------------------------------- |
|---|
| 993 | |
|---|
| 994 | ua_ad(:,:,:) = zua_adin(:,:,:) |
|---|
| 995 | va_ad(:,:,:) = zva_adin(:,:,:) |
|---|
| 996 | |
|---|
| 997 | CALL dyn_hpg_adj ( nit000 ) |
|---|
| 998 | |
|---|
| 999 | zgru_adout(:,:) = gru_ad(:,:) |
|---|
| 1000 | zgrv_adout(:,:) = grv_ad(:,:) |
|---|
| 1001 | zrhd_adout(:,:,:) = rhd_ad(:,:,:) |
|---|
| 1002 | zua_adout(:,:,:) = ua_ad(:,:,:) |
|---|
| 1003 | zva_adout(:,:,:) = va_ad(:,:,:) |
|---|
| 1004 | |
|---|
| 1005 | zsp2_1 = DOT_PRODUCT( zgru_tlin, zgru_adout ) |
|---|
| 1006 | zsp2_2 = DOT_PRODUCT( zgrv_tlin, zgrv_adout ) |
|---|
| 1007 | zsp2_3 = DOT_PRODUCT( zrhd_tlin, zrhd_adout ) |
|---|
| 1008 | zsp2_4 = DOT_PRODUCT( zua_tlin, zua_adout ) |
|---|
| 1009 | zsp2_5 = DOT_PRODUCT( zva_tlin, zva_adout ) |
|---|
| 1010 | zsp2 = zsp2_1 + zsp2_2 + zsp2_3 + zsp2_4 + zsp2_5 |
|---|
| 1011 | ! Compare the scalar products |
|---|
| 1012 | |
|---|
| 1013 | cl_name = 'dyn_hpg_adj ' |
|---|
| 1014 | CALL prntst_adj( cl_name, kumadt, zsp1, zsp2 ) |
|---|
| 1015 | |
|---|
| 1016 | DEALLOCATE( & |
|---|
| 1017 | & zrhd_tlin, & |
|---|
| 1018 | & zua_tlin, & |
|---|
| 1019 | & zva_tlin, & |
|---|
| 1020 | & zgru_tlin, & |
|---|
| 1021 | & zgrv_tlin, & |
|---|
| 1022 | & zua_tlout, & |
|---|
| 1023 | & zva_tlout, & |
|---|
| 1024 | & zrhd_adout, & |
|---|
| 1025 | & zua_adout, & |
|---|
| 1026 | & zva_adout, & |
|---|
| 1027 | & zgru_adout, & |
|---|
| 1028 | & zgrv_adout, & |
|---|
| 1029 | & zua_adin, & |
|---|
| 1030 | & zva_adin, & |
|---|
| 1031 | & zrh, & |
|---|
| 1032 | & zau, & |
|---|
| 1033 | & zav, & |
|---|
| 1034 | & zgru, & |
|---|
| 1035 | & zgrv & |
|---|
| 1036 | & ) |
|---|
| 1037 | END SUBROUTINE dyn_hpg_adj_tst |
|---|
| 1038 | #if defined key_tst_tlm |
|---|
| 1039 | SUBROUTINE dyn_hpg_tlm_tst( kumadt ) |
|---|
| 1040 | !!----------------------------------------------------------------------- |
|---|
| 1041 | !! |
|---|
| 1042 | !! *** ROUTINE dyn_hpg_tlm_tst *** |
|---|
| 1043 | !! |
|---|
| 1044 | !! ** Purpose : Test the adjoint routine. |
|---|
| 1045 | !! |
|---|
| 1046 | !! ** Method : Verify the tangent with Taylor expansion |
|---|
| 1047 | !! |
|---|
| 1048 | !! M(x+hdx) = M(x) + L(hdx) + O(h^2) |
|---|
| 1049 | !! |
|---|
| 1050 | !! where L = tangent routine |
|---|
| 1051 | !! M = direct routine |
|---|
| 1052 | !! dx = input perturbation (random field) |
|---|
| 1053 | !! h = ration on perturbation |
|---|
| 1054 | !! |
|---|
| 1055 | !! History : |
|---|
| 1056 | !! ! 09-08 (A. Vigilant) |
|---|
| 1057 | !!----------------------------------------------------------------------- |
|---|
| 1058 | !! * Modules used |
|---|
| 1059 | USE dynhpg |
|---|
| 1060 | USE zpshde |
|---|
| 1061 | USE eosbn2, ONLY: & ! horizontal & vertical advective trend |
|---|
| 1062 | & eos |
|---|
| 1063 | USE zpshde_tam |
|---|
| 1064 | USE eosbn2_tam, ONLY: & ! horizontal & vertical advective trend |
|---|
| 1065 | & eos_tan |
|---|
| 1066 | USE tamtrj ! writing out state trajectory |
|---|
| 1067 | USE par_tlm, ONLY: & |
|---|
| 1068 | & tlm_bch, & |
|---|
| 1069 | & cur_loop, & |
|---|
| 1070 | & h_ratio |
|---|
| 1071 | USE istate_mod |
|---|
| 1072 | USE divcur ! horizontal divergence and relative vorticity |
|---|
| 1073 | USE gridrandom, ONLY: & |
|---|
| 1074 | & grid_rd_sd |
|---|
| 1075 | USE trj_tam |
|---|
| 1076 | USE oce , ONLY: & ! ocean dynamics and tracers variables |
|---|
| 1077 | & ua, va, rhd, & |
|---|
| 1078 | & gru, grv, & |
|---|
| 1079 | & un, vn, & |
|---|
| 1080 | & tn, sn, gtu, gtv, & |
|---|
| 1081 | & gsu, gsv, rhop |
|---|
| 1082 | USE tamctl, ONLY: & ! Control parameters |
|---|
| 1083 | & numtan, numtan_sc |
|---|
| 1084 | !! * Arguments |
|---|
| 1085 | INTEGER, INTENT(IN) :: & |
|---|
| 1086 | & kumadt ! Output unit |
|---|
| 1087 | !! * Local declarations |
|---|
| 1088 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 1089 | & zrd_tlin, & ! in situ density anomalie |
|---|
| 1090 | & zua_tlin, & ! after u- velocity |
|---|
| 1091 | & zva_tlin, & ! after v- velocity |
|---|
| 1092 | & ztn_tlin, & ! after u- velocity |
|---|
| 1093 | & zsn_tlin, & ! after v- velocity |
|---|
| 1094 | & zua_wop, & ! after u- velocity |
|---|
| 1095 | & zva_wop, & ! after v- velocity |
|---|
| 1096 | & zua_out, & ! after u- velocity |
|---|
| 1097 | & zva_out ! after v- velocity |
|---|
| 1098 | |
|---|
| 1099 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 1100 | & zgru_tlin, & |
|---|
| 1101 | & zgrv_tlin |
|---|
| 1102 | |
|---|
| 1103 | REAL(KIND=wp), DIMENSION(:,:,:), ALLOCATABLE :: & |
|---|
| 1104 | & zrh, & ! 3D random field for rhd |
|---|
| 1105 | & zau, & ! 3D random field for u |
|---|
| 1106 | & zav ! 3D random field for v |
|---|
| 1107 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: & |
|---|
| 1108 | & zgru, & ! 2D random field for gru |
|---|
| 1109 | & zgrv ! 2D random field for grv |
|---|
| 1110 | |
|---|
| 1111 | REAL(KIND=wp) :: & |
|---|
| 1112 | & zsp1, & ! scalar product |
|---|
| 1113 | & zsp1_1, & ! scalar product |
|---|
| 1114 | & zsp1_2, & |
|---|
| 1115 | & zsp2, & ! scalar product |
|---|
| 1116 | & zsp2_1, & ! scalar product |
|---|
| 1117 | & zsp2_2, & |
|---|
| 1118 | & zsp3, & ! scalar product |
|---|
| 1119 | & zsp3_1, & |
|---|
| 1120 | & zsp3_2, & |
|---|
| 1121 | & zzsp, & ! scalar product |
|---|
| 1122 | & zzsp_1, & |
|---|
| 1123 | & zzsp_2, & |
|---|
| 1124 | & gamma, & |
|---|
| 1125 | & zgsp1, & |
|---|
| 1126 | & zgsp2, & |
|---|
| 1127 | & zgsp3, & |
|---|
| 1128 | & zgsp4, & |
|---|
| 1129 | & zgsp5, & |
|---|
| 1130 | & zgsp6, & |
|---|
| 1131 | & zgsp7 |
|---|
| 1132 | INTEGER :: & |
|---|
| 1133 | & ji, & |
|---|
| 1134 | & jj, & |
|---|
| 1135 | & jk |
|---|
| 1136 | CHARACTER(LEN=14) :: cl_name |
|---|
| 1137 | CHARACTER (LEN=128) :: file_out, file_wop, file_xdx |
|---|
| 1138 | CHARACTER (LEN=90) :: FMT |
|---|
| 1139 | REAL(KIND=wp), DIMENSION(100):: & |
|---|
| 1140 | & zscua, zscva, & |
|---|
| 1141 | & zscerrua, & |
|---|
| 1142 | & zscerrva |
|---|
| 1143 | INTEGER, DIMENSION(100):: & |
|---|
| 1144 | & iiposua, iiposva, & |
|---|
| 1145 | & ijposua, ijposva, & |
|---|
| 1146 | & ikposua, ikposva |
|---|
| 1147 | INTEGER:: & |
|---|
| 1148 | & ii, & |
|---|
| 1149 | & isamp=40, & |
|---|
| 1150 | & jsamp=40, & |
|---|
| 1151 | & ksamp=10, & |
|---|
| 1152 | & numsctlm |
|---|
| 1153 | REAL(KIND=wp), DIMENSION(jpi,jpj,jpk) :: & |
|---|
| 1154 | & zerrua, zerrva |
|---|
| 1155 | ! Allocate memory |
|---|
| 1156 | ALLOCATE( & |
|---|
| 1157 | & zrd_tlin(jpi,jpj,jpk), & |
|---|
| 1158 | & zua_tlin(jpi,jpj,jpk), & |
|---|
| 1159 | & zva_tlin(jpi,jpj,jpk), & |
|---|
| 1160 | & ztn_tlin(jpi,jpj,jpk), & |
|---|
| 1161 | & zsn_tlin(jpi,jpj,jpk), & |
|---|
| 1162 | & zgru_tlin(jpi,jpj), & |
|---|
| 1163 | & zgrv_tlin(jpi,jpj), & |
|---|
| 1164 | & zua_wop (jpi,jpj,jpk), & |
|---|
| 1165 | & zva_wop (jpi,jpj,jpk), & |
|---|
| 1166 | & zua_out (jpi,jpj,jpk), & |
|---|
| 1167 | & zva_out (jpi,jpj,jpk), & |
|---|
| 1168 | & zrh( jpi,jpj,jpk), & |
|---|
| 1169 | & zau( jpi,jpj,jpk), & |
|---|
| 1170 | & zav( jpi,jpj,jpk), & |
|---|
| 1171 | & zgru( jpi,jpj), & |
|---|
| 1172 | & zgrv( jpi,jpj) & |
|---|
| 1173 | & ) |
|---|
| 1174 | |
|---|
| 1175 | !-------------------------------------------------------------------- |
|---|
| 1176 | ! Reset variables |
|---|
| 1177 | !-------------------------------------------------------------------- |
|---|
| 1178 | zrd_tlin( :,:,:) = 0.0_wp |
|---|
| 1179 | zgru_tlin( :,:) = 0.0_wp |
|---|
| 1180 | zgrv_tlin( :,:) = 0.0_wp |
|---|
| 1181 | zua_tlin( :,:,:) = 0.0_wp |
|---|
| 1182 | zva_tlin( :,:,:) = 0.0_wp |
|---|
| 1183 | ztn_tlin( :,:,:) = 0.0_wp |
|---|
| 1184 | zsn_tlin( :,:,:) = 0.0_wp |
|---|
| 1185 | zua_out ( :,:,:) = 0.0_wp |
|---|
| 1186 | zva_out ( :,:,:) = 0.0_wp |
|---|
| 1187 | zua_wop ( :,:,:) = 0.0_wp |
|---|
| 1188 | zva_wop ( :,:,:) = 0.0_wp |
|---|
| 1189 | |
|---|
| 1190 | zrh(:,:,:) = 0.0_wp |
|---|
| 1191 | zau(:,:,:) = 0.0_wp |
|---|
| 1192 | zav(:,:,:) = 0.0_wp |
|---|
| 1193 | zgru(:,:) = 0.0_wp |
|---|
| 1194 | zgrv(:,:) = 0.0_wp |
|---|
| 1195 | |
|---|
| 1196 | zscua(:) = 0.0_wp |
|---|
| 1197 | zscva(:) = 0.0_wp |
|---|
| 1198 | zscerrua(:) = 0.0_wp |
|---|
| 1199 | zscerrva(:) = 0.0_wp |
|---|
| 1200 | zerrua(:,:,:) = 0.0_wp |
|---|
| 1201 | zerrva(:,:,:) = 0.0_wp |
|---|
| 1202 | !-------------------------------------------------------------------- |
|---|
| 1203 | ! Output filename Xn=F(X0) |
|---|
| 1204 | !-------------------------------------------------------------------- |
|---|
| 1205 | !! CALL tlm_namrd |
|---|
| 1206 | gamma = h_ratio |
|---|
| 1207 | file_wop='trj_wop_dynhpg' |
|---|
| 1208 | file_xdx='trj_xdx_dynhpg' |
|---|
| 1209 | !-------------------------------------------------------------------- |
|---|
| 1210 | ! Initialize the tangent input with random noise: dx |
|---|
| 1211 | !-------------------------------------------------------------------- |
|---|
| 1212 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 1213 | CALL grid_rd_sd( 596035, zau, 'U', 0.0_wp, stdu) |
|---|
| 1214 | CALL grid_rd_sd( 523432, zav, 'V', 0.0_wp, stdv) |
|---|
| 1215 | CALL grid_rd_sd( 456953, zrh, 'W', 0.0_wp, stdr) |
|---|
| 1216 | CALL grid_rd_sd( 432545, zgru, 'U', 0.0_wp, stdu) |
|---|
| 1217 | CALL grid_rd_sd( 287503, zgrv, 'V', 0.0_wp, stdv) |
|---|
| 1218 | DO jk = 1, jpk |
|---|
| 1219 | DO jj = nldj, nlej |
|---|
| 1220 | DO ji = nldi, nlei |
|---|
| 1221 | zrd_tlin(ji,jj,jk) = zrh(ji,jj,jk) |
|---|
| 1222 | zua_tlin(ji,jj,jk) = zau(ji,jj,jk) |
|---|
| 1223 | zva_tlin(ji,jj,jk) = zav(ji,jj,jk) |
|---|
| 1224 | END DO |
|---|
| 1225 | END DO |
|---|
| 1226 | END DO |
|---|
| 1227 | |
|---|
| 1228 | DO jj = nldj, nlej |
|---|
| 1229 | DO ji = nldi, nlei |
|---|
| 1230 | zgru_tlin(ji,jj) = zgru(ji,jj) |
|---|
| 1231 | zgrv_tlin(ji,jj) = zgrv(ji,jj) |
|---|
| 1232 | END DO |
|---|
| 1233 | END DO |
|---|
| 1234 | ENDIF |
|---|
| 1235 | !-------------------------------------------------------------------- |
|---|
| 1236 | ! Complete Init for Direct |
|---|
| 1237 | !------------------------------------------------------------------- |
|---|
| 1238 | IF ( tlm_bch /= 2 ) CALL istate_p |
|---|
| 1239 | |
|---|
| 1240 | ! *** initialize the reference trajectory |
|---|
| 1241 | ! ------------ |
|---|
| 1242 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 1243 | ua(:,:,:) = un(:,:,:) |
|---|
| 1244 | va(:,:,:) = vn(:,:,:) |
|---|
| 1245 | |
|---|
| 1246 | ! Compute rhd, gru and grv |
|---|
| 1247 | CALL eos(tn, sn, rhd, rhop) |
|---|
| 1248 | CALL zps_hde(nit000, tn, sn, rhd, gtu, gsu, gru, gtv, gsv, grv) |
|---|
| 1249 | |
|---|
| 1250 | |
|---|
| 1251 | IF (( cur_loop .NE. 0) .OR. ( gamma .NE. 0.0_wp) )THEN |
|---|
| 1252 | |
|---|
| 1253 | zrd_tlin(:,:,:) = gamma * zrd_tlin(:,:,:) |
|---|
| 1254 | rhd(:,:,:) = rhd(:,:,:) + zrd_tlin(:,:,:) |
|---|
| 1255 | |
|---|
| 1256 | zua_tlin(:,:,:) = gamma * zua_tlin(:,:,:) |
|---|
| 1257 | ua(:,:,:) = ua(:,:,:) + zua_tlin(:,:,:) |
|---|
| 1258 | |
|---|
| 1259 | zva_tlin(:,:,:) = gamma * zva_tlin(:,:,:) |
|---|
| 1260 | va(:,:,:) = va(:,:,:) + zva_tlin(:,:,:) |
|---|
| 1261 | |
|---|
| 1262 | zgru_tlin(:,:) = gamma * zgru_tlin(:,:) |
|---|
| 1263 | gru(:,:) = gru(:,:) + zgru_tlin(:,:) |
|---|
| 1264 | |
|---|
| 1265 | zgrv_tlin(:,:) = gamma * zgrv_tlin(:,:) |
|---|
| 1266 | grv(:,:) = grv(:,:) + zgrv_tlin(:,:) |
|---|
| 1267 | ENDIF |
|---|
| 1268 | !-------------------------------------------------------------------- |
|---|
| 1269 | ! Compute the direct model F(X0,t=n) = Xn |
|---|
| 1270 | !-------------------------------------------------------------------- |
|---|
| 1271 | IF ( tlm_bch /= 2 ) CALL dyn_hpg(nit000) |
|---|
| 1272 | IF ( tlm_bch == 0 ) CALL trj_wri_spl(file_wop) |
|---|
| 1273 | IF ( tlm_bch == 1 ) CALL trj_wri_spl(file_xdx) |
|---|
| 1274 | !-------------------------------------------------------------------- |
|---|
| 1275 | ! Compute the Tangent |
|---|
| 1276 | !-------------------------------------------------------------------- |
|---|
| 1277 | IF ( tlm_bch == 2 ) THEN |
|---|
| 1278 | !-------------------------------------------------------------------- |
|---|
| 1279 | ! Initialize the tangent variables |
|---|
| 1280 | !-------------------------------------------------------------------- |
|---|
| 1281 | CALL trj_rea( nit000-1, 1 ) |
|---|
| 1282 | ua(:,:,:) = un(:,:,:) |
|---|
| 1283 | va(:,:,:) = vn(:,:,:) |
|---|
| 1284 | gru_tl ( :,:) = zgru_tlin (:,: ) |
|---|
| 1285 | grv_tl ( :,:) = zgrv_tlin (:,: ) |
|---|
| 1286 | rhd_tl (:,:,:) = zrd_tlin (:,:,:) |
|---|
| 1287 | ua_tl (:,:,:) = zua_tlin (:,:,:) |
|---|
| 1288 | va_tl (:,:,:) = zva_tlin (:,:,:) |
|---|
| 1289 | CALL dyn_hpg_tan(nit000) |
|---|
| 1290 | !-------------------------------------------------------------------- |
|---|
| 1291 | ! Compute the scalar product: ( L(t0,tn) gamma dx0 ) ) |
|---|
| 1292 | !-------------------------------------------------------------------- |
|---|
| 1293 | zsp2_1 = DOT_PRODUCT( ua_tl, ua_tl ) |
|---|
| 1294 | zsp2_2 = DOT_PRODUCT( va_tl, va_tl ) |
|---|
| 1295 | zsp2 = zsp2_1 + zsp2_2 |
|---|
| 1296 | !-------------------------------------------------------------------- |
|---|
| 1297 | ! Storing data |
|---|
| 1298 | !-------------------------------------------------------------------- |
|---|
| 1299 | CALL trj_rd_spl(file_wop) |
|---|
| 1300 | zua_wop (:,:,:) = ua (:,:,:) |
|---|
| 1301 | zva_wop (:,:,:) = va (:,:,:) |
|---|
| 1302 | CALL trj_rd_spl(file_xdx) |
|---|
| 1303 | zua_out (:,:,:) = ua (:,:,:) |
|---|
| 1304 | zva_out (:,:,:) = va (:,:,:) |
|---|
| 1305 | !-------------------------------------------------------------------- |
|---|
| 1306 | ! Compute the Linearization Error |
|---|
| 1307 | ! Nn = M( X0+gamma.dX0, t0,tn) - M(X0, t0,tn) |
|---|
| 1308 | ! and |
|---|
| 1309 | ! Compute the Linearization Error |
|---|
| 1310 | ! En = Nn -TL(gamma.dX0, t0,tn) |
|---|
| 1311 | !-------------------------------------------------------------------- |
|---|
| 1312 | ! Warning: Here we re-use local variables z()_out and z()_wop |
|---|
| 1313 | ii=0 |
|---|
| 1314 | DO jk = 1, jpk |
|---|
| 1315 | DO jj = 1, jpj |
|---|
| 1316 | DO ji = 1, jpi |
|---|
| 1317 | zua_out (ji,jj,jk) = zua_out (ji,jj,jk) - zua_wop (ji,jj,jk) |
|---|
| 1318 | zua_wop (ji,jj,jk) = zua_out (ji,jj,jk) - ua_tl (ji,jj,jk) |
|---|
| 1319 | IF ( ua_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 1320 | & zerrua(ji,jj,jk) = zua_out(ji,jj,jk)/ua_tl(ji,jj,jk) |
|---|
| 1321 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 1322 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 1323 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 1324 | ii = ii+1 |
|---|
| 1325 | iiposua(ii) = ji |
|---|
| 1326 | ijposua(ii) = jj |
|---|
| 1327 | ikposua(ii) = jk |
|---|
| 1328 | IF ( INT(umask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 1329 | zscua (ii) = zua_wop(ji,jj,jk) |
|---|
| 1330 | zscerrua (ii) = ( zerrua(ji,jj,jk) - 1.0_wp ) /gamma |
|---|
| 1331 | ENDIF |
|---|
| 1332 | ENDIF |
|---|
| 1333 | END DO |
|---|
| 1334 | END DO |
|---|
| 1335 | END DO |
|---|
| 1336 | ii=0 |
|---|
| 1337 | DO jk = 1, jpk |
|---|
| 1338 | DO jj = 1, jpj |
|---|
| 1339 | DO ji = 1, jpi |
|---|
| 1340 | zva_out (ji,jj,jk) = zva_out (ji,jj,jk) - zva_wop (ji,jj,jk) |
|---|
| 1341 | zva_wop (ji,jj,jk) = zva_out (ji,jj,jk) - va_tl (ji,jj,jk) |
|---|
| 1342 | IF ( va_tl(ji,jj,jk) .NE. 0.0_wp ) & |
|---|
| 1343 | & zerrva(ji,jj,jk) = zva_out(ji,jj,jk)/va_tl(ji,jj,jk) |
|---|
| 1344 | IF( (MOD(ji, isamp) .EQ. 0) .AND. & |
|---|
| 1345 | & (MOD(jj, jsamp) .EQ. 0) .AND. & |
|---|
| 1346 | & (MOD(jk, ksamp) .EQ. 0) ) THEN |
|---|
| 1347 | ii = ii+1 |
|---|
| 1348 | iiposva(ii) = ji |
|---|
| 1349 | ijposva(ii) = jj |
|---|
| 1350 | ikposva(ii) = jk |
|---|
| 1351 | IF ( INT(vmask(ji,jj,jk)) .NE. 0) THEN |
|---|
| 1352 | zscva (ii) = zua_wop(ji,jj,jk) |
|---|
| 1353 | zscerrva (ii) = ( zerrva(ji,jj,jk) - 1.0_wp ) / gamma |
|---|
| 1354 | ENDIF |
|---|
| 1355 | ENDIF |
|---|
| 1356 | END DO |
|---|
| 1357 | END DO |
|---|
| 1358 | END DO |
|---|
| 1359 | zsp1_1 = DOT_PRODUCT( zua_out, zua_out ) |
|---|
| 1360 | zsp1_2 = DOT_PRODUCT( zva_out, zva_out ) |
|---|
| 1361 | zsp1 = zsp1_1 + zsp1_2 |
|---|
| 1362 | |
|---|
| 1363 | zsp3_1 = DOT_PRODUCT( zua_wop, zua_wop ) |
|---|
| 1364 | zsp3_2 = DOT_PRODUCT( zva_wop, zva_wop ) |
|---|
| 1365 | zsp3 = zsp3_1 + zsp3_2 |
|---|
| 1366 | !-------------------------------------------------------------------- |
|---|
| 1367 | ! Print the linearization error En - norme 2 |
|---|
| 1368 | !-------------------------------------------------------------------- |
|---|
| 1369 | ! 14 char:'12345678901234' |
|---|
| 1370 | cl_name = 'dynhpg_tam:En ' |
|---|
| 1371 | zzsp = dsqrt(zsp3) |
|---|
| 1372 | zzsp_1 = dsqrt(zsp3_1) |
|---|
| 1373 | zzsp_2 = dsqrt(zsp3_2) |
|---|
| 1374 | |
|---|
| 1375 | zgsp5 = zzsp |
|---|
| 1376 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1377 | !-------------------------------------------------------------------- |
|---|
| 1378 | ! Compute TLM norm2 |
|---|
| 1379 | !-------------------------------------------------------------------- |
|---|
| 1380 | zzsp = SQRT(zsp2) |
|---|
| 1381 | zzsp_1 = SQRT(zsp2_1) |
|---|
| 1382 | zzsp_2 = SQRT(zsp2_2) |
|---|
| 1383 | zgsp4 = zzsp |
|---|
| 1384 | cl_name = 'dynhpg_tam:Ln2' |
|---|
| 1385 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1386 | !-------------------------------------------------------------------- |
|---|
| 1387 | ! Print the linearization error Nn - norme 2 |
|---|
| 1388 | !-------------------------------------------------------------------- |
|---|
| 1389 | zzsp = SQRT(zsp1) |
|---|
| 1390 | zzsp_1 = SQRT(zsp1_1) |
|---|
| 1391 | zzsp_2 = SQRT(zsp1_2) |
|---|
| 1392 | cl_name = 'dynhpg:Mhdx-Mx' |
|---|
| 1393 | CALL prntst_tlm( cl_name, kumadt, zzsp, h_ratio ) |
|---|
| 1394 | zgsp3 = SQRT( zsp3/zsp2 ) |
|---|
| 1395 | zgsp7 = zgsp3/gamma |
|---|
| 1396 | zgsp1 = zzsp |
|---|
| 1397 | zgsp2 = zgsp1 / zgsp4 |
|---|
| 1398 | zgsp6 = (zgsp2 - 1.0_wp)/gamma |
|---|
| 1399 | |
|---|
| 1400 | 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)" |
|---|
| 1401 | WRITE(numtan,FMT) 'dynhpg ', cur_loop, h_ratio, zgsp1, zgsp2, zgsp3, zgsp4, zgsp5, zgsp6, zgsp7 |
|---|
| 1402 | !-------------------------------------------------------------------- |
|---|
| 1403 | ! Unitary calculus |
|---|
| 1404 | !-------------------------------------------------------------------- |
|---|
| 1405 | FMT = "(A8,2X,A8,2X,I4.4,2X,E6.1,2X,I4.4,2X,I4.4,2X,I4.4,2X,E20.13,1X)" |
|---|
| 1406 | cl_name = 'dynhpg ' |
|---|
| 1407 | IF (lwp) THEN |
|---|
| 1408 | DO ii=1, 100, 1 |
|---|
| 1409 | IF ( zscua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscua ', & |
|---|
| 1410 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscua(ii) |
|---|
| 1411 | ENDDO |
|---|
| 1412 | DO ii=1, 100, 1 |
|---|
| 1413 | IF ( zscva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscva ', & |
|---|
| 1414 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscva(ii) |
|---|
| 1415 | ENDDO |
|---|
| 1416 | DO ii=1, 100, 1 |
|---|
| 1417 | IF ( zscerrua(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrua ', & |
|---|
| 1418 | & cur_loop, h_ratio, ii, iiposua(ii), ijposua(ii), zscerrua(ii) |
|---|
| 1419 | ENDDO |
|---|
| 1420 | DO ii=1, 100, 1 |
|---|
| 1421 | IF ( zscerrva(ii) .NE. 0.0_wp ) WRITE(numtan_sc,FMT) cl_name, 'zscerrva ', & |
|---|
| 1422 | & cur_loop, h_ratio, ii, iiposva(ii), ijposva(ii), zscerrva(ii) |
|---|
| 1423 | ENDDO |
|---|
| 1424 | |
|---|
| 1425 | ! write separator |
|---|
| 1426 | WRITE(numtan_sc,"(A4)") '====' |
|---|
| 1427 | ENDIF |
|---|
| 1428 | |
|---|
| 1429 | ENDIF |
|---|
| 1430 | DEALLOCATE( & |
|---|
| 1431 | & zrd_tlin, zgru_tlin, zgrv_tlin, & |
|---|
| 1432 | & zua_tlin, zva_tlin, & |
|---|
| 1433 | & ztn_tlin, zsn_tlin, & |
|---|
| 1434 | & zua_out, zva_out, & |
|---|
| 1435 | & zua_wop, zva_wop, & |
|---|
| 1436 | & zrh, & |
|---|
| 1437 | & zau, & |
|---|
| 1438 | & zav, & |
|---|
| 1439 | & zgru, & |
|---|
| 1440 | & zgrv & |
|---|
| 1441 | & ) |
|---|
| 1442 | END SUBROUTINE dyn_hpg_tlm_tst |
|---|
| 1443 | !!====================================================================== |
|---|
| 1444 | #endif |
|---|
| 1445 | #endif |
|---|
| 1446 | END MODULE dynhpg_tam |
|---|
