[1231] | 1 | MODULE traadv_qck |
---|
| 2 | !!============================================================================== |
---|
| 3 | !! *** MODULE traadv_qck *** |
---|
[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
---|
[1231] | 5 | !!============================================================================== |
---|
[1559] | 6 | !! History : 3.0 ! 2008-07 (G. Reffray) Original code |
---|
[2528] | 7 | !! 3.3 ! 2010-05 (C.Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
---|
[1231] | 8 | !!---------------------------------------------------------------------- |
---|
| 9 | |
---|
| 10 | !!---------------------------------------------------------------------- |
---|
[2528] | 11 | !! tra_adv_qck : update the tracer trend with the horizontal advection |
---|
| 12 | !! trends using a 3rd order finite difference scheme |
---|
| 13 | !! tra_adv_qck_i : apply QUICK scheme in i-direction |
---|
| 14 | !! tra_adv_qck_j : apply QUICK scheme in j-direction |
---|
[1559] | 15 | !! tra_adv_cen2_k : 2nd centered scheme for the vertical advection |
---|
[1231] | 16 | !!---------------------------------------------------------------------- |
---|
| 17 | USE oce ! ocean dynamics and active tracers |
---|
| 18 | USE dom_oce ! ocean space and time domain |
---|
[4990] | 19 | USE trc_oce ! share passive tracers/Ocean variables |
---|
| 20 | USE trd_oce ! trends: ocean variables |
---|
| 21 | USE trdtra ! trends manager: tracers |
---|
| 22 | USE diaptr ! poleward transport diagnostics |
---|
| 23 | ! |
---|
[1231] | 24 | USE lib_mpp ! distribued memory computing |
---|
| 25 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
---|
| 26 | USE in_out_manager ! I/O manager |
---|
[3294] | 27 | USE wrk_nemo ! Memory Allocation |
---|
| 28 | USE timing ! Timing |
---|
[3625] | 29 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
[1231] | 30 | |
---|
| 31 | IMPLICIT NONE |
---|
| 32 | PRIVATE |
---|
| 33 | |
---|
[1559] | 34 | PUBLIC tra_adv_qck ! routine called by step.F90 |
---|
[1231] | 35 | |
---|
[2528] | 36 | LOGICAL :: l_trd ! flag to compute trends |
---|
| 37 | REAL(wp) :: r1_6 = 1./ 6. ! 1/6 ratio |
---|
[1559] | 38 | |
---|
[1231] | 39 | !! * Substitutions |
---|
| 40 | # include "vectopt_loop_substitute.h90" |
---|
| 41 | !!---------------------------------------------------------------------- |
---|
[2528] | 42 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
[1231] | 43 | !! $Id$ |
---|
[2528] | 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[1231] | 45 | !!---------------------------------------------------------------------- |
---|
| 46 | CONTAINS |
---|
| 47 | |
---|
[3294] | 48 | SUBROUTINE tra_adv_qck ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
---|
[2528] | 49 | & ptb, ptn, pta, kjpt ) |
---|
[1231] | 50 | !!---------------------------------------------------------------------- |
---|
| 51 | !! *** ROUTINE tra_adv_qck *** |
---|
| 52 | !! |
---|
| 53 | !! ** Purpose : Compute the now trend due to the advection of tracers |
---|
| 54 | !! and add it to the general trend of passive tracer equations. |
---|
| 55 | !! |
---|
| 56 | !! ** Method : The advection is evaluated by a third order scheme |
---|
[1559] | 57 | !! For a positive velocity u : u(i)>0 |
---|
| 58 | !! |--FU--|--FC--|--FD--|------| |
---|
| 59 | !! i-1 i i+1 i+2 |
---|
[1231] | 60 | !! |
---|
[1559] | 61 | !! For a negative velocity u : u(i)<0 |
---|
| 62 | !! |------|--FD--|--FC--|--FU--| |
---|
| 63 | !! i-1 i i+1 i+2 |
---|
| 64 | !! where FU is the second upwind point |
---|
| 65 | !! FD is the first douwning point |
---|
| 66 | !! FC is the central point (or the first upwind point) |
---|
[1231] | 67 | !! |
---|
[1559] | 68 | !! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) } |
---|
| 69 | !! with C(i)=|u(i)|dx(i)/dt (=Courant number) |
---|
[1231] | 70 | !! |
---|
| 71 | !! dt = 2*rdtra and the scalar values are tb and sb |
---|
| 72 | !! |
---|
[2528] | 73 | !! On the vertical, the simple centered scheme used ptn |
---|
[1231] | 74 | !! |
---|
[1559] | 75 | !! The fluxes are bounded by the ULTIMATE limiter to |
---|
| 76 | !! guarantee the monotonicity of the solution and to |
---|
[1231] | 77 | !! prevent the appearance of spurious numerical oscillations |
---|
| 78 | !! |
---|
[6140] | 79 | !! ** Action : - update pta with the now advective tracer trends |
---|
| 80 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
---|
| 81 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
---|
[1231] | 82 | !! |
---|
| 83 | !! ** Reference : Leonard (1979, 1991) |
---|
| 84 | !!---------------------------------------------------------------------- |
---|
[2528] | 85 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[3294] | 86 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
[2528] | 87 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 88 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
[6140] | 89 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[2528] | 90 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
---|
| 91 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[1231] | 93 | !!---------------------------------------------------------------------- |
---|
[3294] | 94 | ! |
---|
| 95 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_qck') |
---|
| 96 | ! |
---|
| 97 | IF( kt == kit000 ) THEN |
---|
[1231] | 98 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 99 | IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme on ', cdtype |
---|
[1231] | 100 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 101 | IF(lwp) WRITE(numout,*) |
---|
| 102 | ENDIF |
---|
[5836] | 103 | ! |
---|
[4990] | 104 | l_trd = .FALSE. |
---|
| 105 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
---|
[4499] | 106 | ! |
---|
[6140] | 107 | ! ! horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme |
---|
[2528] | 108 | CALL tra_adv_qck_i( kt, cdtype, p2dt, pun, ptb, ptn, pta, kjpt ) |
---|
| 109 | CALL tra_adv_qck_j( kt, cdtype, p2dt, pvn, ptb, ptn, pta, kjpt ) |
---|
[1231] | 110 | |
---|
[6140] | 111 | ! ! vertical fluxes are computed with the 2nd order centered scheme |
---|
[2528] | 112 | CALL tra_adv_cen2_k( kt, cdtype, pwn, ptn, pta, kjpt ) |
---|
[1231] | 113 | ! |
---|
[3294] | 114 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_qck') |
---|
| 115 | ! |
---|
[1231] | 116 | END SUBROUTINE tra_adv_qck |
---|
| 117 | |
---|
| 118 | |
---|
[2528] | 119 | SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pun, & |
---|
| 120 | & ptb, ptn, pta, kjpt ) |
---|
[1231] | 121 | !!---------------------------------------------------------------------- |
---|
| 122 | !! |
---|
| 123 | !!---------------------------------------------------------------------- |
---|
[2715] | 124 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 125 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 126 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
[6140] | 127 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[2715] | 128 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun ! i-velocity components |
---|
| 129 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 130 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[2528] | 131 | !! |
---|
[5836] | 132 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[6140] | 133 | REAL(wp) :: ztra, zbtr, zdir, zdx, zmsk ! local scalars |
---|
[5836] | 134 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwx, zfu, zfc, zfd |
---|
[1231] | 135 | !---------------------------------------------------------------------- |
---|
[2715] | 136 | ! |
---|
[4990] | 137 | CALL wrk_alloc( jpi, jpj, jpk, zwx, zfu, zfc, zfd ) |
---|
[2528] | 138 | ! ! =========== |
---|
| 139 | DO jn = 1, kjpt ! tracer loop |
---|
| 140 | ! ! =========== |
---|
[5836] | 141 | zfu(:,:,:) = 0._wp ; zfc(:,:,:) = 0._wp |
---|
| 142 | zfd(:,:,:) = 0._wp ; zwx(:,:,:) = 0._wp |
---|
| 143 | ! |
---|
| 144 | !!gm why not using a SHIFT instruction... |
---|
| 145 | DO jk = 1, jpkm1 !--- Computation of the ustream and downstream value of the tracer and the mask |
---|
[2528] | 146 | DO jj = 2, jpjm1 |
---|
| 147 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 148 | zfc(ji,jj,jk) = ptb(ji-1,jj,jk,jn) ! Upstream in the x-direction for the tracer |
---|
| 149 | zfd(ji,jj,jk) = ptb(ji+1,jj,jk,jn) ! Downstream in the x-direction for the tracer |
---|
[2528] | 150 | END DO |
---|
[1559] | 151 | END DO |
---|
| 152 | END DO |
---|
[2528] | 153 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 154 | |
---|
[1231] | 155 | ! |
---|
| 156 | ! Horizontal advective fluxes |
---|
| 157 | ! --------------------------- |
---|
[2528] | 158 | DO jk = 1, jpkm1 |
---|
| 159 | DO jj = 2, jpjm1 |
---|
| 160 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 161 | zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 162 | zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T |
---|
| 163 | END DO |
---|
| 164 | END DO |
---|
[1559] | 165 | END DO |
---|
[1231] | 166 | ! |
---|
[2528] | 167 | DO jk = 1, jpkm1 |
---|
| 168 | DO jj = 2, jpjm1 |
---|
| 169 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 170 | zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
[6140] | 171 | zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * e3u_n(ji,jj,jk) |
---|
| 172 | zwx(ji,jj,jk) = ABS( pun(ji,jj,jk) ) * p2dt / zdx ! (0<zc_cfl<1 : Courant number on x-direction) |
---|
[2528] | 173 | zfc(ji,jj,jk) = zdir * ptb(ji ,jj,jk,jn) + ( 1. - zdir ) * ptb(ji+1,jj,jk,jn) ! FC in the x-direction for T |
---|
| 174 | zfd(ji,jj,jk) = zdir * ptb(ji+1,jj,jk,jn) + ( 1. - zdir ) * ptb(ji ,jj,jk,jn) ! FD in the x-direction for T |
---|
| 175 | END DO |
---|
| 176 | END DO |
---|
| 177 | END DO |
---|
| 178 | !--- Lateral boundary conditions |
---|
| 179 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) |
---|
| 180 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwx(:,:,:), 'T', 1. ) |
---|
| 181 | |
---|
[1231] | 182 | !--- QUICKEST scheme |
---|
[2528] | 183 | CALL quickest( zfu, zfd, zfc, zwx ) |
---|
[1231] | 184 | ! |
---|
[2528] | 185 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
---|
| 186 | DO jk = 1, jpkm1 |
---|
| 187 | DO jj = 2, jpjm1 |
---|
| 188 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 189 | zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2. |
---|
[2715] | 190 | END DO |
---|
[1231] | 191 | END DO |
---|
| 192 | END DO |
---|
[2528] | 193 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 194 | |
---|
[1231] | 195 | ! |
---|
[2528] | 196 | ! Tracer flux on the x-direction |
---|
| 197 | DO jk = 1, jpkm1 |
---|
| 198 | ! |
---|
[1231] | 199 | DO jj = 2, jpjm1 |
---|
[2528] | 200 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 201 | zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 202 | !--- If the second ustream point is a land point |
---|
| 203 | !--- the flux is computed by the 1st order UPWIND scheme |
---|
| 204 | zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk) |
---|
| 205 | zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk) |
---|
| 206 | zwx(ji,jj,jk) = zwx(ji,jj,jk) * pun(ji,jj,jk) |
---|
[1231] | 207 | END DO |
---|
| 208 | END DO |
---|
[3300] | 209 | END DO |
---|
| 210 | ! |
---|
| 211 | CALL lbc_lnk( zwx(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 212 | ! |
---|
| 213 | ! Computation of the trend |
---|
| 214 | DO jk = 1, jpkm1 |
---|
[2528] | 215 | DO jj = 2, jpjm1 |
---|
| 216 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 217 | zbtr = r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
---|
[2528] | 218 | ! horizontal advective trends |
---|
| 219 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) ) |
---|
| 220 | !--- add it to the general tracer trends |
---|
| 221 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
| 222 | END DO |
---|
| 223 | END DO |
---|
[1231] | 224 | END DO |
---|
[6140] | 225 | ! ! trend diagnostics |
---|
[4990] | 226 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_xad, zwx, pun, ptn(:,:,:,jn) ) |
---|
[2528] | 227 | ! |
---|
| 228 | END DO |
---|
| 229 | ! |
---|
[4990] | 230 | CALL wrk_dealloc( jpi, jpj, jpk, zwx, zfu, zfc, zfd ) |
---|
[2715] | 231 | ! |
---|
[1559] | 232 | END SUBROUTINE tra_adv_qck_i |
---|
[1231] | 233 | |
---|
| 234 | |
---|
[2528] | 235 | SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pvn, & |
---|
| 236 | & ptb, ptn, pta, kjpt ) |
---|
[1231] | 237 | !!---------------------------------------------------------------------- |
---|
| 238 | !! |
---|
| 239 | !!---------------------------------------------------------------------- |
---|
[2715] | 240 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 241 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 242 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
[6140] | 243 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[2715] | 244 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pvn ! j-velocity components |
---|
| 245 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 246 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[1559] | 247 | !! |
---|
[2715] | 248 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[6140] | 249 | REAL(wp) :: ztra, zbtr, zdir, zdx, zmsk ! local scalars |
---|
[4990] | 250 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwy, zfu, zfc, zfd |
---|
[1231] | 251 | !---------------------------------------------------------------------- |
---|
[2715] | 252 | ! |
---|
[4990] | 253 | CALL wrk_alloc( jpi, jpj, jpk, zwy, zfu, zfc, zfd ) |
---|
[3294] | 254 | ! |
---|
[2528] | 255 | ! ! =========== |
---|
| 256 | DO jn = 1, kjpt ! tracer loop |
---|
| 257 | ! ! =========== |
---|
| 258 | zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0 |
---|
| 259 | zfd(:,:,:) = 0.0 ; zwy(:,:,:) = 0.0 |
---|
| 260 | ! |
---|
| 261 | DO jk = 1, jpkm1 |
---|
| 262 | ! |
---|
| 263 | !--- Computation of the ustream and downstream value of the tracer and the mask |
---|
| 264 | DO jj = 2, jpjm1 |
---|
| 265 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 266 | ! Upstream in the x-direction for the tracer |
---|
| 267 | zfc(ji,jj,jk) = ptb(ji,jj-1,jk,jn) |
---|
| 268 | ! Downstream in the x-direction for the tracer |
---|
| 269 | zfd(ji,jj,jk) = ptb(ji,jj+1,jk,jn) |
---|
| 270 | END DO |
---|
[1559] | 271 | END DO |
---|
| 272 | END DO |
---|
[2528] | 273 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 274 | |
---|
| 275 | |
---|
[1231] | 276 | ! |
---|
| 277 | ! Horizontal advective fluxes |
---|
| 278 | ! --------------------------- |
---|
| 279 | ! |
---|
[2528] | 280 | DO jk = 1, jpkm1 |
---|
| 281 | DO jj = 2, jpjm1 |
---|
| 282 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 283 | zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 284 | zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji,jj+1,jk) ! FU in the x-direction for T |
---|
| 285 | END DO |
---|
[1559] | 286 | END DO |
---|
| 287 | END DO |
---|
[1231] | 288 | ! |
---|
[2528] | 289 | DO jk = 1, jpkm1 |
---|
| 290 | DO jj = 2, jpjm1 |
---|
| 291 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 292 | zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
[6140] | 293 | zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * e3v_n(ji,jj,jk) |
---|
| 294 | zwy(ji,jj,jk) = ABS( pvn(ji,jj,jk) ) * p2dt / zdx ! (0<zc_cfl<1 : Courant number on x-direction) |
---|
[2528] | 295 | zfc(ji,jj,jk) = zdir * ptb(ji,jj ,jk,jn) + ( 1. - zdir ) * ptb(ji,jj+1,jk,jn) ! FC in the x-direction for T |
---|
| 296 | zfd(ji,jj,jk) = zdir * ptb(ji,jj+1,jk,jn) + ( 1. - zdir ) * ptb(ji,jj ,jk,jn) ! FD in the x-direction for T |
---|
| 297 | END DO |
---|
| 298 | END DO |
---|
| 299 | END DO |
---|
| 300 | |
---|
| 301 | !--- Lateral boundary conditions |
---|
| 302 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) |
---|
| 303 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwy(:,:,:), 'T', 1. ) |
---|
| 304 | |
---|
[1231] | 305 | !--- QUICKEST scheme |
---|
[2528] | 306 | CALL quickest( zfu, zfd, zfc, zwy ) |
---|
[1231] | 307 | ! |
---|
[2528] | 308 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
---|
| 309 | DO jk = 1, jpkm1 |
---|
| 310 | DO jj = 2, jpjm1 |
---|
| 311 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 312 | zfu(ji,jj,jk) = tmask(ji,jj-1,jk) + tmask(ji,jj,jk) + tmask(ji,jj+1,jk) - 2. |
---|
| 313 | END DO |
---|
[1231] | 314 | END DO |
---|
| 315 | END DO |
---|
[2528] | 316 | !--- Lateral boundary conditions |
---|
| 317 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) |
---|
| 318 | ! |
---|
| 319 | ! Tracer flux on the x-direction |
---|
| 320 | DO jk = 1, jpkm1 |
---|
| 321 | ! |
---|
[1231] | 322 | DO jj = 2, jpjm1 |
---|
[2528] | 323 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 324 | zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 325 | !--- If the second ustream point is a land point |
---|
| 326 | !--- the flux is computed by the 1st order UPWIND scheme |
---|
| 327 | zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji,jj+1,jk) |
---|
| 328 | zwy(ji,jj,jk) = zmsk * zwy(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk) |
---|
| 329 | zwy(ji,jj,jk) = zwy(ji,jj,jk) * pvn(ji,jj,jk) |
---|
[1231] | 330 | END DO |
---|
| 331 | END DO |
---|
[3300] | 332 | END DO |
---|
| 333 | ! |
---|
| 334 | CALL lbc_lnk( zwy(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 335 | ! |
---|
| 336 | ! Computation of the trend |
---|
| 337 | DO jk = 1, jpkm1 |
---|
[2528] | 338 | DO jj = 2, jpjm1 |
---|
| 339 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 340 | zbtr = r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
---|
[2528] | 341 | ! horizontal advective trends |
---|
| 342 | ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) ) |
---|
| 343 | !--- add it to the general tracer trends |
---|
| 344 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
[1231] | 345 | END DO |
---|
| 346 | END DO |
---|
[2528] | 347 | END DO |
---|
[6140] | 348 | ! ! trend diagnostics |
---|
[4990] | 349 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_yad, zwy, pvn, ptn(:,:,:,jn) ) |
---|
[2528] | 350 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[5147] | 351 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
| 352 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) |
---|
| 353 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) |
---|
[1231] | 354 | ENDIF |
---|
[2528] | 355 | ! |
---|
| 356 | END DO |
---|
| 357 | ! |
---|
[4990] | 358 | CALL wrk_dealloc( jpi, jpj, jpk, zwy, zfu, zfc, zfd ) |
---|
[2715] | 359 | ! |
---|
[1559] | 360 | END SUBROUTINE tra_adv_qck_j |
---|
[1231] | 361 | |
---|
| 362 | |
---|
[2528] | 363 | SUBROUTINE tra_adv_cen2_k( kt, cdtype, pwn, & |
---|
| 364 | & ptn, pta, kjpt ) |
---|
[1231] | 365 | !!---------------------------------------------------------------------- |
---|
| 366 | !! |
---|
| 367 | !!---------------------------------------------------------------------- |
---|
[2715] | 368 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 369 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 370 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 371 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pwn ! vertical velocity |
---|
| 372 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! before and now tracer fields |
---|
| 373 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
| 374 | ! |
---|
[2528] | 375 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[4990] | 376 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwz |
---|
[1559] | 377 | !!---------------------------------------------------------------------- |
---|
[4990] | 378 | ! |
---|
[5836] | 379 | CALL wrk_alloc( jpi,jpj,jpk, zwz ) |
---|
| 380 | ! |
---|
[6140] | 381 | zwz(:,:, 1 ) = 0._wp ! surface & bottom values set to zero for all tracers |
---|
| 382 | zwz(:,:,jpk) = 0._wp |
---|
[5836] | 383 | ! |
---|
[2528] | 384 | ! ! =========== |
---|
| 385 | DO jn = 1, kjpt ! tracer loop |
---|
| 386 | ! ! =========== |
---|
| 387 | ! |
---|
[5836] | 388 | DO jk = 2, jpkm1 !* Interior point (w-masked 2nd order centered flux) |
---|
[2528] | 389 | DO jj = 2, jpjm1 |
---|
| 390 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 391 | zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1,jn) + ptn(ji,jj,jk,jn) ) * wmask(ji,jj,jk) |
---|
[2528] | 392 | END DO |
---|
[1231] | 393 | END DO |
---|
| 394 | END DO |
---|
[6140] | 395 | IF( ln_linssh ) THEN !* top value (only in linear free surf. as zwz is multiplied by wmask) |
---|
[5836] | 396 | IF( ln_isfcav ) THEN ! ice-shelf cavities (top of the ocean) |
---|
| 397 | DO jj = 1, jpj |
---|
| 398 | DO ji = 1, jpi |
---|
| 399 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptn(ji,jj,mikt(ji,jj),jn) ! linear free surface |
---|
| 400 | END DO |
---|
| 401 | END DO |
---|
[6140] | 402 | ELSE ! no ocean cavities (only ocean surface) |
---|
[5836] | 403 | zwz(:,:,1) = pwn(:,:,1) * ptn(:,:,1,jn) |
---|
| 404 | ENDIF |
---|
| 405 | ENDIF |
---|
[2528] | 406 | ! |
---|
| 407 | DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==! |
---|
| 408 | DO jj = 2, jpjm1 |
---|
| 409 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5836] | 410 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) - ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) ) & |
---|
[6140] | 411 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
---|
[2528] | 412 | END DO |
---|
[1231] | 413 | END DO |
---|
| 414 | END DO |
---|
[6140] | 415 | ! ! Send trends for diagnostic |
---|
[4990] | 416 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_zad, zwz, pwn, ptn(:,:,:,jn) ) |
---|
[2528] | 417 | ! |
---|
[1231] | 418 | END DO |
---|
| 419 | ! |
---|
[6140] | 420 | CALL wrk_dealloc( jpi,jpj,jpk, zwz ) |
---|
[4990] | 421 | ! |
---|
[1559] | 422 | END SUBROUTINE tra_adv_cen2_k |
---|
[1231] | 423 | |
---|
| 424 | |
---|
[2528] | 425 | SUBROUTINE quickest( pfu, pfd, pfc, puc ) |
---|
[1231] | 426 | !!---------------------------------------------------------------------- |
---|
| 427 | !! |
---|
[2528] | 428 | !! ** Purpose : Computation of advective flux with Quickest scheme |
---|
| 429 | !! |
---|
| 430 | !! ** Method : |
---|
[1231] | 431 | !!---------------------------------------------------------------------- |
---|
[2528] | 432 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfu ! second upwind point |
---|
| 433 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfd ! first douwning point |
---|
| 434 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point) |
---|
| 435 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux |
---|
| 436 | !! |
---|
| 437 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 438 | REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars |
---|
| 439 | REAL(wp) :: zc, zcurv, zfho ! - - |
---|
| 440 | !---------------------------------------------------------------------- |
---|
[3294] | 441 | ! |
---|
| 442 | IF( nn_timing == 1 ) CALL timing_start('quickest') |
---|
| 443 | ! |
---|
[2528] | 444 | DO jk = 1, jpkm1 |
---|
| 445 | DO jj = 1, jpj |
---|
| 446 | DO ji = 1, jpi |
---|
| 447 | zc = puc(ji,jj,jk) ! Courant number |
---|
| 448 | zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk) |
---|
| 449 | zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) ) |
---|
| 450 | zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) ) |
---|
| 451 | zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv |
---|
| 452 | zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST |
---|
| 453 | ! |
---|
| 454 | zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk) |
---|
| 455 | zcoef2 = ABS( zcoef1 ) |
---|
| 456 | zcoef3 = ABS( zcurv ) |
---|
| 457 | IF( zcoef3 >= zcoef2 ) THEN |
---|
| 458 | zfho = pfc(ji,jj,jk) |
---|
| 459 | ELSE |
---|
| 460 | zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF |
---|
| 461 | IF( zcoef1 >= 0. ) THEN |
---|
| 462 | zfho = MAX( pfc(ji,jj,jk), zfho ) |
---|
| 463 | zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) ) |
---|
| 464 | ELSE |
---|
| 465 | zfho = MIN( pfc(ji,jj,jk), zfho ) |
---|
| 466 | zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) ) |
---|
| 467 | ENDIF |
---|
| 468 | ENDIF |
---|
| 469 | puc(ji,jj,jk) = zfho |
---|
| 470 | END DO |
---|
| 471 | END DO |
---|
| 472 | END DO |
---|
[1231] | 473 | ! |
---|
[3294] | 474 | IF( nn_timing == 1 ) CALL timing_stop('quickest') |
---|
| 475 | ! |
---|
[1231] | 476 | END SUBROUTINE quickest |
---|
| 477 | |
---|
| 478 | !!====================================================================== |
---|
| 479 | END MODULE traadv_qck |
---|