| 1 | MODULE tranpc |
|---|
| 2 | !!============================================================================== |
|---|
| 3 | !! *** MODULE tranpc *** |
|---|
| 4 | !! Ocean active tracers: non penetrative convective adjustment scheme |
|---|
| 5 | !!============================================================================== |
|---|
| 6 | !! History : 1.0 ! 1990-09 (G. Madec) Original code |
|---|
| 7 | !! ! 1996-01 (G. Madec) statement function for e3 |
|---|
| 8 | !! NEMO 1.0 ! 2002-06 (G. Madec) free form F90 |
|---|
| 9 | !! 3.0 ! 2008-06 (G. Madec) applied on ta, sa and called before tranxt in step.F90 |
|---|
| 10 | !! 3.3 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA |
|---|
| 11 | !! 3.6 ! 2015-05 (L. Brodeau) new algorithm based on local Brunt-Vaisala freq. |
|---|
| 12 | !!---------------------------------------------------------------------- |
|---|
| 13 | |
|---|
| 14 | !!---------------------------------------------------------------------- |
|---|
| 15 | !! tra_npc : apply the non penetrative convection scheme |
|---|
| 16 | !!---------------------------------------------------------------------- |
|---|
| 17 | USE oce ! ocean dynamics and active tracers |
|---|
| 18 | USE dom_oce ! ocean space and time domain |
|---|
| 19 | USE phycst ! physical constants |
|---|
| 20 | USE zdf_oce ! ocean vertical physics |
|---|
| 21 | USE trd_oce ! ocean active tracer trends |
|---|
| 22 | USE trdtra ! ocean active tracer trends |
|---|
| 23 | USE eosbn2 ! equation of state (eos routine) |
|---|
| 24 | ! |
|---|
| 25 | USE lbclnk ! lateral boundary conditions (or mpp link) |
|---|
| 26 | USE in_out_manager ! I/O manager |
|---|
| 27 | USE lib_mpp ! MPP library |
|---|
| 28 | USE wrk_nemo ! Memory Allocation |
|---|
| 29 | USE timing ! Timing |
|---|
| 30 | |
|---|
| 31 | IMPLICIT NONE |
|---|
| 32 | PRIVATE |
|---|
| 33 | |
|---|
| 34 | PUBLIC tra_npc ! routine called by step.F90 |
|---|
| 35 | |
|---|
| 36 | !! * Substitutions |
|---|
| 37 | # include "vectopt_loop_substitute.h90" |
|---|
| 38 | !!---------------------------------------------------------------------- |
|---|
| 39 | !! NEMO/OPA 3.6 , NEMO Consortium (2014) |
|---|
| 40 | !! $Id$ |
|---|
| 41 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
|---|
| 42 | !!---------------------------------------------------------------------- |
|---|
| 43 | CONTAINS |
|---|
| 44 | |
|---|
| 45 | SUBROUTINE tra_npc( kt ) |
|---|
| 46 | !!---------------------------------------------------------------------- |
|---|
| 47 | !! *** ROUTINE tranpc *** |
|---|
| 48 | !! |
|---|
| 49 | !! ** Purpose : Non-penetrative convective adjustment scheme. solve |
|---|
| 50 | !! the static instability of the water column on after fields |
|---|
| 51 | !! while conserving heat and salt contents. |
|---|
| 52 | !! |
|---|
| 53 | !! ** Method : updated algorithm able to deal with non-linear equation of state |
|---|
| 54 | !! (i.e. static stability computed locally) |
|---|
| 55 | !! |
|---|
| 56 | !! ** Action : - (ta,sa) after the application od the npc scheme |
|---|
| 57 | !! - send the associated trends for on-line diagnostics (l_trdtra=T) |
|---|
| 58 | !! |
|---|
| 59 | !! References : Madec, et al., 1991, JPO, 21, 9, 1349-1371. |
|---|
| 60 | !!---------------------------------------------------------------------- |
|---|
| 61 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 62 | ! |
|---|
| 63 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 64 | INTEGER :: inpcc ! number of statically instable water column |
|---|
| 65 | INTEGER :: jiter, ikbot, ikp, ikup, ikdown, ilayer, ik_low ! local integers |
|---|
| 66 | LOGICAL :: l_bottom_reached, l_column_treated |
|---|
| 67 | REAL(wp) :: zta, zalfa, zsum_temp, zsum_alfa, zaw, zdz, zsum_z |
|---|
| 68 | REAL(wp) :: zsa, zbeta, zsum_sali, zsum_beta, zbw, zrw, z1_r2dt |
|---|
| 69 | REAL(wp), PARAMETER :: zn2_zero = 1.e-14_wp ! acceptance criteria for neutrality (N2==0) |
|---|
| 70 | REAL(wp), POINTER, DIMENSION(:) :: zvn2 ! vertical profile of N2 at 1 given point... |
|---|
| 71 | REAL(wp), POINTER, DIMENSION(:,:) :: zvts ! vertical profile of T and S at 1 given point... |
|---|
| 72 | REAL(wp), POINTER, DIMENSION(:,:) :: zvab ! vertical profile of alpha and beta |
|---|
| 73 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zn2 ! N^2 |
|---|
| 74 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zab ! alpha and beta |
|---|
| 75 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdt, ztrds ! 3D workspace |
|---|
| 76 | ! |
|---|
| 77 | LOGICAL, PARAMETER :: l_LB_debug = .FALSE. ! set to true if you want to follow what is |
|---|
| 78 | INTEGER :: ilc1, jlc1, klc1, nncpu ! actually happening in a water column at point "ilc1, jlc1" |
|---|
| 79 | LOGICAL :: lp_monitor_point = .FALSE. ! in CPU domain "nncpu" |
|---|
| 80 | !!---------------------------------------------------------------------- |
|---|
| 81 | ! |
|---|
| 82 | IF( nn_timing == 1 ) CALL timing_start('tra_npc') |
|---|
| 83 | ! |
|---|
| 84 | IF( MOD( kt, nn_npc ) == 0 ) THEN |
|---|
| 85 | ! |
|---|
| 86 | CALL wrk_alloc( jpi, jpj, jpk, zn2 ) ! N2 |
|---|
| 87 | CALL wrk_alloc( jpi, jpj, jpk, 2, zab ) ! Alpha and Beta |
|---|
| 88 | CALL wrk_alloc( jpk, 2, zvts, zvab ) ! 1D column vector at point ji,jj |
|---|
| 89 | CALL wrk_alloc( jpk, zvn2 ) ! 1D column vector at point ji,jj |
|---|
| 90 | |
|---|
| 91 | IF( l_trdtra ) THEN !* Save initial after fields |
|---|
| 92 | CALL wrk_alloc( jpi, jpj, jpk, ztrdt, ztrds ) |
|---|
| 93 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
|---|
| 94 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
|---|
| 95 | ENDIF |
|---|
| 96 | |
|---|
| 97 | IF( l_LB_debug ) THEN |
|---|
| 98 | ! Location of 1 known convection site to follow what's happening in the water column |
|---|
| 99 | ilc1 = 45 ; jlc1 = 3 ; ! ORCA2 4x4, Antarctic coast, more than 2 unstable portions in the water column... |
|---|
| 100 | nncpu = 1 ; ! the CPU domain contains the convection spot |
|---|
| 101 | klc1 = mbkt(ilc1,jlc1) ! bottom of the ocean for debug point... |
|---|
| 102 | ENDIF |
|---|
| 103 | |
|---|
| 104 | CALL eos_rab( tsa, zab ) ! after alpha and beta (given on T-points) |
|---|
| 105 | CALL bn2 ( tsa, zab, zn2 ) ! after Brunt-Vaisala (given on W-points) |
|---|
| 106 | |
|---|
| 107 | inpcc = 0 |
|---|
| 108 | |
|---|
| 109 | DO jj = 2, jpjm1 ! interior column only |
|---|
| 110 | DO ji = fs_2, fs_jpim1 |
|---|
| 111 | ! |
|---|
| 112 | IF( tmask(ji,jj,2) == 1 ) THEN ! At least 2 ocean points |
|---|
| 113 | ! ! consider one ocean column |
|---|
| 114 | zvts(:,jp_tem) = tsa(ji,jj,:,jp_tem) ! temperature |
|---|
| 115 | zvts(:,jp_sal) = tsa(ji,jj,:,jp_sal) ! salinity |
|---|
| 116 | |
|---|
| 117 | zvab(:,jp_tem) = zab(ji,jj,:,jp_tem) ! Alpha |
|---|
| 118 | zvab(:,jp_sal) = zab(ji,jj,:,jp_sal) ! Beta |
|---|
| 119 | zvn2(:) = zn2(ji,jj,:) ! N^2 |
|---|
| 120 | |
|---|
| 121 | IF( l_LB_debug ) THEN !LB debug: |
|---|
| 122 | lp_monitor_point = .FALSE. |
|---|
| 123 | IF( ( ji == ilc1 ).AND.( jj == jlc1 ) ) lp_monitor_point = .TRUE. |
|---|
| 124 | ! writing only if on CPU domain where conv region is: |
|---|
| 125 | lp_monitor_point = (narea == nncpu).AND.lp_monitor_point |
|---|
| 126 | ENDIF !LB debug end |
|---|
| 127 | |
|---|
| 128 | ikbot = mbkt(ji,jj) ! ikbot: ocean bottom T-level |
|---|
| 129 | ikp = 1 ! because N2 is irrelevant at the surface level (will start at ikp=2) |
|---|
| 130 | ilayer = 0 |
|---|
| 131 | jiter = 0 |
|---|
| 132 | l_column_treated = .FALSE. |
|---|
| 133 | |
|---|
| 134 | DO WHILE ( .NOT. l_column_treated ) |
|---|
| 135 | ! |
|---|
| 136 | jiter = jiter + 1 |
|---|
| 137 | |
|---|
| 138 | IF( jiter >= 400 ) EXIT |
|---|
| 139 | |
|---|
| 140 | l_bottom_reached = .FALSE. |
|---|
| 141 | |
|---|
| 142 | DO WHILE ( .NOT. l_bottom_reached ) |
|---|
| 143 | |
|---|
| 144 | ikp = ikp + 1 |
|---|
| 145 | |
|---|
| 146 | !! Testing level ikp for instability |
|---|
| 147 | !! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 148 | IF( zvn2(ikp) < -zn2_zero ) THEN ! Instability found! |
|---|
| 149 | |
|---|
| 150 | ilayer = ilayer + 1 ! yet another instable portion of the water column found.... |
|---|
| 151 | |
|---|
| 152 | IF( lp_monitor_point ) THEN |
|---|
| 153 | WRITE(numout,*) |
|---|
| 154 | IF( ilayer == 1 .AND. jiter == 1 ) THEN ! first time a column is spoted with an instability |
|---|
| 155 | WRITE(numout,*) |
|---|
| 156 | WRITE(numout,*) 'Time step = ',kt,' !!!' |
|---|
| 157 | ENDIF |
|---|
| 158 | WRITE(numout,*) ' * Iteration #',jiter,': found instable portion #',ilayer, & |
|---|
| 159 | & ' in column! Starting at ikp =', ikp |
|---|
| 160 | WRITE(numout,*) ' *** N2 for point (i,j) = ',ji,' , ',jj |
|---|
| 161 | DO jk = 1, klc1 |
|---|
| 162 | WRITE(numout,*) jk, zvn2(jk) |
|---|
| 163 | END DO |
|---|
| 164 | WRITE(numout,*) |
|---|
| 165 | ENDIF |
|---|
| 166 | |
|---|
| 167 | |
|---|
| 168 | IF( jiter == 1 ) inpcc = inpcc + 1 |
|---|
| 169 | |
|---|
| 170 | IF( lp_monitor_point ) WRITE(numout, *) 'Negative N2 at ikp =',ikp,' for layer #', ilayer |
|---|
| 171 | |
|---|
| 172 | !! ikup is the uppermost point where mixing will start: |
|---|
| 173 | ikup = ikp - 1 ! ikup is always "at most at ikp-1", less if neutral levels overlying |
|---|
| 174 | |
|---|
| 175 | !! If the points above ikp-1 have N2 == 0 they must also be mixed: |
|---|
| 176 | IF( ikp > 2 ) THEN |
|---|
| 177 | DO jk = ikp-1, 2, -1 |
|---|
| 178 | IF( ABS(zvn2(jk)) < zn2_zero ) THEN |
|---|
| 179 | ikup = ikup - 1 ! 1 more upper level has N2=0 and must be added for the mixing |
|---|
| 180 | ELSE |
|---|
| 181 | EXIT |
|---|
| 182 | ENDIF |
|---|
| 183 | END DO |
|---|
| 184 | ENDIF |
|---|
| 185 | |
|---|
| 186 | IF( ikup < 1 ) CALL ctl_stop( 'tra_npc : PROBLEM #1') |
|---|
| 187 | |
|---|
| 188 | zsum_temp = 0._wp |
|---|
| 189 | zsum_sali = 0._wp |
|---|
| 190 | zsum_alfa = 0._wp |
|---|
| 191 | zsum_beta = 0._wp |
|---|
| 192 | zsum_z = 0._wp |
|---|
| 193 | |
|---|
| 194 | DO jk = ikup, ikbot ! Inside the instable (and overlying neutral) portion of the column |
|---|
| 195 | ! |
|---|
| 196 | zdz = e3t_n(ji,jj,jk) |
|---|
| 197 | zsum_temp = zsum_temp + zvts(jk,jp_tem)*zdz |
|---|
| 198 | zsum_sali = zsum_sali + zvts(jk,jp_sal)*zdz |
|---|
| 199 | zsum_alfa = zsum_alfa + zvab(jk,jp_tem)*zdz |
|---|
| 200 | zsum_beta = zsum_beta + zvab(jk,jp_sal)*zdz |
|---|
| 201 | zsum_z = zsum_z + zdz |
|---|
| 202 | ! |
|---|
| 203 | IF( jk == ikbot ) EXIT ! avoid array-index overshoot in case ikbot = jpk, cause we're calling jk+1 next line |
|---|
| 204 | !! EXIT when we have reached the last layer that is instable (N2<0) or neutral (N2=0): |
|---|
| 205 | IF( zvn2(jk+1) > zn2_zero ) EXIT |
|---|
| 206 | END DO |
|---|
| 207 | |
|---|
| 208 | ikdown = jk ! for the current unstable layer, ikdown is the deepest point with a negative or neutral N2 |
|---|
| 209 | IF( ikup == ikdown ) CALL ctl_stop( 'tra_npc : PROBLEM #2') |
|---|
| 210 | |
|---|
| 211 | ! Mixing Temperature, salinity, alpha and beta from ikup to ikdown included: |
|---|
| 212 | zta = zsum_temp/zsum_z |
|---|
| 213 | zsa = zsum_sali/zsum_z |
|---|
| 214 | zalfa = zsum_alfa/zsum_z |
|---|
| 215 | zbeta = zsum_beta/zsum_z |
|---|
| 216 | |
|---|
| 217 | IF( lp_monitor_point ) THEN |
|---|
| 218 | WRITE(numout,*) 'MIXED T, S, alfa and beta between ikup =',ikup, & |
|---|
| 219 | & ' and ikdown =',ikdown,', in layer #',ilayer |
|---|
| 220 | WRITE(numout,*) ' => Mean temp. in that portion =', zta |
|---|
| 221 | WRITE(numout,*) ' => Mean sali. in that portion =', zsa |
|---|
| 222 | WRITE(numout,*) ' => Mean Alfa in that portion =', zalfa |
|---|
| 223 | WRITE(numout,*) ' => Mean Beta in that portion =', zbeta |
|---|
| 224 | ENDIF |
|---|
| 225 | |
|---|
| 226 | !! Homogenaizing the temperature, salinity, alpha and beta in this portion of the column |
|---|
| 227 | DO jk = ikup, ikdown |
|---|
| 228 | zvts(jk,jp_tem) = zta |
|---|
| 229 | zvts(jk,jp_sal) = zsa |
|---|
| 230 | zvab(jk,jp_tem) = zalfa |
|---|
| 231 | zvab(jk,jp_sal) = zbeta |
|---|
| 232 | END DO |
|---|
| 233 | |
|---|
| 234 | |
|---|
| 235 | !! Updating N2 in the relvant portion of the water column |
|---|
| 236 | !! Temperature, Salinity, Alpha and Beta have been homogenized in the unstable portion |
|---|
| 237 | !! => Need to re-compute N2! will use Alpha and Beta! |
|---|
| 238 | |
|---|
| 239 | ikup = MAX(2,ikup) ! ikup can never be 1 ! |
|---|
| 240 | ik_low = MIN(ikdown+1,ikbot) ! we must go 1 point deeper than ikdown! |
|---|
| 241 | |
|---|
| 242 | DO jk = ikup, ik_low ! we must go 1 point deeper than ikdown! |
|---|
| 243 | |
|---|
| 244 | !! Interpolating alfa and beta at W point: |
|---|
| 245 | zrw = (gdepw_n(ji,jj,jk ) - gdept_n(ji,jj,jk)) & |
|---|
| 246 | & / (gdept_n(ji,jj,jk-1) - gdept_n(ji,jj,jk)) |
|---|
| 247 | zaw = zvab(jk,jp_tem) * (1._wp - zrw) + zvab(jk-1,jp_tem) * zrw |
|---|
| 248 | zbw = zvab(jk,jp_sal) * (1._wp - zrw) + zvab(jk-1,jp_sal) * zrw |
|---|
| 249 | |
|---|
| 250 | !! N2 at W point, doing exactly as in eosbn2.F90: |
|---|
| 251 | zvn2(jk) = grav*( zaw * ( zvts(jk-1,jp_tem) - zvts(jk,jp_tem) ) & |
|---|
| 252 | & - zbw * ( zvts(jk-1,jp_sal) - zvts(jk,jp_sal) ) ) & |
|---|
| 253 | & / e3w_n(ji,jj,jk) * tmask(ji,jj,jk) |
|---|
| 254 | |
|---|
| 255 | !! OR, faster => just considering the vertical gradient of density |
|---|
| 256 | !! as only the signa maters... |
|---|
| 257 | !zvn2(jk) = ( zaw * ( zvts(jk-1,jp_tem) - zvts(jk,jp_tem) ) & |
|---|
| 258 | ! & - zbw * ( zvts(jk-1,jp_sal) - zvts(jk,jp_sal) ) ) |
|---|
| 259 | |
|---|
| 260 | END DO |
|---|
| 261 | |
|---|
| 262 | ikp = MIN(ikdown+1,ikbot) |
|---|
| 263 | |
|---|
| 264 | |
|---|
| 265 | ENDIF !IF( zvn2(ikp) < 0. ) |
|---|
| 266 | |
|---|
| 267 | |
|---|
| 268 | IF( ikp == ikbot ) l_bottom_reached = .TRUE. |
|---|
| 269 | ! |
|---|
| 270 | END DO ! DO WHILE ( .NOT. l_bottom_reached ) |
|---|
| 271 | |
|---|
| 272 | IF( ikp /= ikbot ) CALL ctl_stop( 'tra_npc : PROBLEM #3') |
|---|
| 273 | |
|---|
| 274 | ! ******* At this stage ikp == ikbot ! ******* |
|---|
| 275 | |
|---|
| 276 | IF( ilayer > 0 ) THEN !! least an unstable layer has been found |
|---|
| 277 | ! |
|---|
| 278 | IF( lp_monitor_point ) THEN |
|---|
| 279 | WRITE(numout,*) |
|---|
| 280 | WRITE(numout,*) 'After ',jiter,' iteration(s), we neutralized ',ilayer,' instable layer(s)' |
|---|
| 281 | WRITE(numout,*) ' ==> N2 at i,j=',ji,',',jj,' now looks like this:' |
|---|
| 282 | DO jk = 1, klc1 |
|---|
| 283 | WRITE(numout,*) jk, zvn2(jk) |
|---|
| 284 | END DO |
|---|
| 285 | WRITE(numout,*) |
|---|
| 286 | ENDIF |
|---|
| 287 | ! |
|---|
| 288 | ikp = 1 ! starting again at the surface for the next iteration |
|---|
| 289 | ilayer = 0 |
|---|
| 290 | ENDIF |
|---|
| 291 | ! |
|---|
| 292 | IF( ikp >= ikbot ) l_column_treated = .TRUE. |
|---|
| 293 | ! |
|---|
| 294 | END DO ! DO WHILE ( .NOT. l_column_treated ) |
|---|
| 295 | |
|---|
| 296 | !! Updating tsa: |
|---|
| 297 | tsa(ji,jj,:,jp_tem) = zvts(:,jp_tem) |
|---|
| 298 | tsa(ji,jj,:,jp_sal) = zvts(:,jp_sal) |
|---|
| 299 | |
|---|
| 300 | !! LB: Potentially some other global variable beside theta and S can be treated here |
|---|
| 301 | !! like BGC tracers. |
|---|
| 302 | |
|---|
| 303 | IF( lp_monitor_point ) WRITE(numout,*) |
|---|
| 304 | |
|---|
| 305 | ENDIF ! IF( tmask(ji,jj,3) == 1 ) THEN |
|---|
| 306 | |
|---|
| 307 | END DO ! ji |
|---|
| 308 | END DO ! jj |
|---|
| 309 | ! |
|---|
| 310 | IF( l_trdtra ) THEN ! send the Non penetrative mixing trends for diagnostic |
|---|
| 311 | z1_r2dt = 1._wp / (2._wp * rdt) |
|---|
| 312 | ztrdt(:,:,:) = ( tsa(:,:,:,jp_tem) - ztrdt(:,:,:) ) * z1_r2dt |
|---|
| 313 | ztrds(:,:,:) = ( tsa(:,:,:,jp_sal) - ztrds(:,:,:) ) * z1_r2dt |
|---|
| 314 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_npc, ztrdt ) |
|---|
| 315 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_npc, ztrds ) |
|---|
| 316 | CALL wrk_dealloc( jpi, jpj, jpk, ztrdt, ztrds ) |
|---|
| 317 | ENDIF |
|---|
| 318 | ! |
|---|
| 319 | CALL lbc_lnk( tsa(:,:,:,jp_tem), 'T', 1. ) ; CALL lbc_lnk( tsa(:,:,:,jp_sal), 'T', 1. ) |
|---|
| 320 | ! |
|---|
| 321 | IF( lwp .AND. l_LB_debug ) THEN |
|---|
| 322 | WRITE(numout,*) 'Exiting tra_npc , kt = ',kt,', => numb. of statically instable water-columns: ', inpcc |
|---|
| 323 | WRITE(numout,*) |
|---|
| 324 | ENDIF |
|---|
| 325 | ! |
|---|
| 326 | CALL wrk_dealloc(jpi, jpj, jpk, zn2 ) |
|---|
| 327 | CALL wrk_dealloc(jpi, jpj, jpk, 2, zab ) |
|---|
| 328 | CALL wrk_dealloc(jpk, zvn2 ) |
|---|
| 329 | CALL wrk_dealloc(jpk, 2, zvts, zvab ) |
|---|
| 330 | ! |
|---|
| 331 | ENDIF ! IF( MOD( kt, nn_npc ) == 0 ) THEN |
|---|
| 332 | ! |
|---|
| 333 | IF( nn_timing == 1 ) CALL timing_stop('tra_npc') |
|---|
| 334 | ! |
|---|
| 335 | END SUBROUTINE tra_npc |
|---|
| 336 | |
|---|
| 337 | !!====================================================================== |
|---|
| 338 | END MODULE tranpc |
|---|
