[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 |
---|
[2528] | 19 | USE trdmod_oce ! ocean space and time domain |
---|
| 20 | USE trdtra ! ocean tracers trends |
---|
[1231] | 21 | USE trabbl ! advective term in the BBL |
---|
| 22 | USE lib_mpp ! distribued memory computing |
---|
| 23 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
---|
| 24 | USE dynspg_oce ! surface pressure gradient variables |
---|
| 25 | USE in_out_manager ! I/O manager |
---|
| 26 | USE diaptr ! poleward transport diagnostics |
---|
[2528] | 27 | USE trc_oce ! share passive tracers/Ocean variables |
---|
[3294] | 28 | USE wrk_nemo ! Memory Allocation |
---|
| 29 | USE timing ! Timing |
---|
[3625] | 30 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
[1231] | 31 | |
---|
| 32 | IMPLICIT NONE |
---|
| 33 | PRIVATE |
---|
| 34 | |
---|
[1559] | 35 | PUBLIC tra_adv_qck ! routine called by step.F90 |
---|
[1231] | 36 | |
---|
[2528] | 37 | LOGICAL :: l_trd ! flag to compute trends |
---|
| 38 | REAL(wp) :: r1_6 = 1./ 6. ! 1/6 ratio |
---|
[1559] | 39 | |
---|
[1231] | 40 | !! * Substitutions |
---|
| 41 | # include "domzgr_substitute.h90" |
---|
| 42 | # include "vectopt_loop_substitute.h90" |
---|
| 43 | !!---------------------------------------------------------------------- |
---|
[2528] | 44 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
[1231] | 45 | !! $Id$ |
---|
[2528] | 46 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[1231] | 47 | !!---------------------------------------------------------------------- |
---|
| 48 | CONTAINS |
---|
| 49 | |
---|
[3294] | 50 | SUBROUTINE tra_adv_qck ( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
---|
[2528] | 51 | & ptb, ptn, pta, kjpt ) |
---|
[1231] | 52 | !!---------------------------------------------------------------------- |
---|
| 53 | !! *** ROUTINE tra_adv_qck *** |
---|
| 54 | !! |
---|
| 55 | !! ** Purpose : Compute the now trend due to the advection of tracers |
---|
| 56 | !! and add it to the general trend of passive tracer equations. |
---|
| 57 | !! |
---|
| 58 | !! ** Method : The advection is evaluated by a third order scheme |
---|
[1559] | 59 | !! For a positive velocity u : u(i)>0 |
---|
| 60 | !! |--FU--|--FC--|--FD--|------| |
---|
| 61 | !! i-1 i i+1 i+2 |
---|
[1231] | 62 | !! |
---|
[1559] | 63 | !! For a negative velocity u : u(i)<0 |
---|
| 64 | !! |------|--FD--|--FC--|--FU--| |
---|
| 65 | !! i-1 i i+1 i+2 |
---|
| 66 | !! where FU is the second upwind point |
---|
| 67 | !! FD is the first douwning point |
---|
| 68 | !! FC is the central point (or the first upwind point) |
---|
[1231] | 69 | !! |
---|
[1559] | 70 | !! Flux(i) = u(i) * { 0.5(FC+FD) -0.5C(i)(FD-FC) -((1-C(i))/6)(FU+FD-2FC) } |
---|
| 71 | !! with C(i)=|u(i)|dx(i)/dt (=Courant number) |
---|
[1231] | 72 | !! |
---|
| 73 | !! dt = 2*rdtra and the scalar values are tb and sb |
---|
| 74 | !! |
---|
[2528] | 75 | !! On the vertical, the simple centered scheme used ptn |
---|
[1231] | 76 | !! |
---|
[1559] | 77 | !! The fluxes are bounded by the ULTIMATE limiter to |
---|
| 78 | !! guarantee the monotonicity of the solution and to |
---|
[1231] | 79 | !! prevent the appearance of spurious numerical oscillations |
---|
| 80 | !! |
---|
[2528] | 81 | !! ** Action : - update (pta) with the now advective tracer trends |
---|
| 82 | !! - save the trends |
---|
[1231] | 83 | !! |
---|
| 84 | !! ** Reference : Leonard (1979, 1991) |
---|
| 85 | !!---------------------------------------------------------------------- |
---|
[2528] | 86 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[3294] | 87 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
[2528] | 88 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 89 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 90 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
---|
| 91 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
---|
| 92 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 93 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[1231] | 94 | !!---------------------------------------------------------------------- |
---|
| 95 | |
---|
[3294] | 96 | ! |
---|
| 97 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_qck') |
---|
| 98 | ! |
---|
| 99 | IF( kt == kit000 ) THEN |
---|
[1231] | 100 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 101 | IF(lwp) WRITE(numout,*) 'tra_adv_qck : 3rd order quickest advection scheme on ', cdtype |
---|
[1231] | 102 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~' |
---|
| 103 | IF(lwp) WRITE(numout,*) |
---|
[2528] | 104 | ! |
---|
| 105 | l_trd = .FALSE. |
---|
| 106 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
---|
[1231] | 107 | ENDIF |
---|
| 108 | |
---|
| 109 | ! I. The horizontal fluxes are computed with the QUICKEST + ULTIMATE scheme |
---|
[2528] | 110 | CALL tra_adv_qck_i( kt, cdtype, p2dt, pun, ptb, ptn, pta, kjpt ) |
---|
| 111 | CALL tra_adv_qck_j( kt, cdtype, p2dt, pvn, ptb, ptn, pta, kjpt ) |
---|
[1231] | 112 | |
---|
| 113 | ! II. The vertical fluxes are computed with the 2nd order centered scheme |
---|
[2528] | 114 | CALL tra_adv_cen2_k( kt, cdtype, pwn, ptn, pta, kjpt ) |
---|
[1231] | 115 | ! |
---|
[3294] | 116 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_qck') |
---|
| 117 | ! |
---|
[1231] | 118 | END SUBROUTINE tra_adv_qck |
---|
| 119 | |
---|
| 120 | |
---|
[2528] | 121 | SUBROUTINE tra_adv_qck_i( kt, cdtype, p2dt, pun, & |
---|
| 122 | & ptb, ptn, pta, kjpt ) |
---|
[1231] | 123 | !!---------------------------------------------------------------------- |
---|
| 124 | !! |
---|
| 125 | !!---------------------------------------------------------------------- |
---|
[2715] | 126 | USE oce , ONLY: zwx => ua ! ua used as workspace |
---|
| 127 | ! |
---|
| 128 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 129 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 130 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 131 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
---|
| 132 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun ! i-velocity components |
---|
| 133 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 134 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[2528] | 135 | !! |
---|
[2715] | 136 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
| 137 | REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars |
---|
[3294] | 138 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zfu, zfc, zfd |
---|
[1231] | 139 | !---------------------------------------------------------------------- |
---|
[2715] | 140 | ! |
---|
[3294] | 141 | CALL wrk_alloc( jpi, jpj, jpk, zfu, zfc, zfd ) |
---|
[2528] | 142 | ! ! =========== |
---|
| 143 | DO jn = 1, kjpt ! tracer loop |
---|
| 144 | ! ! =========== |
---|
| 145 | zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0 |
---|
| 146 | zfd(:,:,:) = 0.0 ; zwx(:,:,:) = 0.0 |
---|
| 147 | ! |
---|
| 148 | DO jk = 1, jpkm1 |
---|
| 149 | ! |
---|
| 150 | !--- Computation of the ustream and downstream value of the tracer and the mask |
---|
| 151 | DO jj = 2, jpjm1 |
---|
| 152 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 153 | ! Upstream in the x-direction for the tracer |
---|
| 154 | zfc(ji,jj,jk) = ptb(ji-1,jj,jk,jn) |
---|
| 155 | ! Downstream in the x-direction for the tracer |
---|
| 156 | zfd(ji,jj,jk) = ptb(ji+1,jj,jk,jn) |
---|
| 157 | END DO |
---|
[1559] | 158 | END DO |
---|
| 159 | END DO |
---|
[2528] | 160 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 161 | |
---|
[1231] | 162 | ! |
---|
| 163 | ! Horizontal advective fluxes |
---|
| 164 | ! --------------------------- |
---|
| 165 | ! |
---|
[2528] | 166 | DO jk = 1, jpkm1 |
---|
| 167 | DO jj = 2, jpjm1 |
---|
| 168 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 169 | zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 170 | zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji+1,jj,jk) ! FU in the x-direction for T |
---|
| 171 | END DO |
---|
| 172 | END DO |
---|
[1559] | 173 | END DO |
---|
[1231] | 174 | ! |
---|
[2528] | 175 | DO jk = 1, jpkm1 |
---|
| 176 | zdt = p2dt(jk) |
---|
| 177 | DO jj = 2, jpjm1 |
---|
| 178 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 179 | zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
[3301] | 180 | zdx = ( zdir * e1t(ji,jj) + ( 1. - zdir ) * e1t(ji+1,jj) ) * e2u(ji,jj) * fse3u(ji,jj,jk) |
---|
[2528] | 181 | zwx(ji,jj,jk) = ABS( pun(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction) |
---|
| 182 | 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 |
---|
| 183 | 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 |
---|
| 184 | END DO |
---|
| 185 | END DO |
---|
| 186 | END DO |
---|
| 187 | !--- Lateral boundary conditions |
---|
| 188 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) |
---|
| 189 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwx(:,:,:), 'T', 1. ) |
---|
| 190 | |
---|
[1231] | 191 | !--- QUICKEST scheme |
---|
[2528] | 192 | CALL quickest( zfu, zfd, zfc, zwx ) |
---|
[1231] | 193 | ! |
---|
[2528] | 194 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
---|
| 195 | DO jk = 1, jpkm1 |
---|
| 196 | DO jj = 2, jpjm1 |
---|
| 197 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 198 | zfu(ji,jj,jk) = tmask(ji-1,jj,jk) + tmask(ji,jj,jk) + tmask(ji+1,jj,jk) - 2. |
---|
[2715] | 199 | END DO |
---|
[1231] | 200 | END DO |
---|
| 201 | END DO |
---|
[2528] | 202 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 203 | |
---|
[1231] | 204 | ! |
---|
[2528] | 205 | ! Tracer flux on the x-direction |
---|
| 206 | DO jk = 1, jpkm1 |
---|
| 207 | ! |
---|
[1231] | 208 | DO jj = 2, jpjm1 |
---|
[2528] | 209 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 210 | zdir = 0.5 + SIGN( 0.5, pun(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 211 | !--- If the second ustream point is a land point |
---|
| 212 | !--- the flux is computed by the 1st order UPWIND scheme |
---|
| 213 | zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji+1,jj,jk) |
---|
| 214 | zwx(ji,jj,jk) = zmsk * zwx(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk) |
---|
| 215 | zwx(ji,jj,jk) = zwx(ji,jj,jk) * pun(ji,jj,jk) |
---|
[1231] | 216 | END DO |
---|
| 217 | END DO |
---|
[3300] | 218 | END DO |
---|
| 219 | ! |
---|
| 220 | CALL lbc_lnk( zwx(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 221 | ! |
---|
| 222 | ! Computation of the trend |
---|
| 223 | DO jk = 1, jpkm1 |
---|
[2528] | 224 | DO jj = 2, jpjm1 |
---|
| 225 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 226 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 227 | ! horizontal advective trends |
---|
| 228 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj,jk) ) |
---|
| 229 | !--- add it to the general tracer trends |
---|
| 230 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
| 231 | END DO |
---|
| 232 | END DO |
---|
[1231] | 233 | END DO |
---|
[2528] | 234 | ! ! trend diagnostics (contribution of upstream fluxes) |
---|
| 235 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_xad, zwx, pun, ptn(:,:,:,jn) ) |
---|
| 236 | ! |
---|
| 237 | END DO |
---|
| 238 | ! |
---|
[3294] | 239 | CALL wrk_dealloc( jpi, jpj, jpk, zfu, zfc, zfd ) |
---|
[2715] | 240 | ! |
---|
[1559] | 241 | END SUBROUTINE tra_adv_qck_i |
---|
[1231] | 242 | |
---|
| 243 | |
---|
[2528] | 244 | SUBROUTINE tra_adv_qck_j( kt, cdtype, p2dt, pvn, & |
---|
| 245 | & ptb, ptn, pta, kjpt ) |
---|
[1231] | 246 | !!---------------------------------------------------------------------- |
---|
| 247 | !! |
---|
| 248 | !!---------------------------------------------------------------------- |
---|
[2715] | 249 | USE oce , ONLY: zwy => ua ! ua used as workspace |
---|
| 250 | ! |
---|
| 251 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 252 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 253 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 254 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
---|
| 255 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pvn ! j-velocity components |
---|
| 256 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 257 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[1559] | 258 | !! |
---|
[2715] | 259 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
| 260 | REAL(wp) :: ztra, zbtr, zdir, zdx, zdt, zmsk ! local scalars |
---|
[3294] | 261 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zfu, zfc, zfd |
---|
[1231] | 262 | !---------------------------------------------------------------------- |
---|
[2715] | 263 | ! |
---|
[3294] | 264 | CALL wrk_alloc( jpi, jpj, jpk, zfu, zfc, zfd ) |
---|
| 265 | ! |
---|
[2528] | 266 | ! ! =========== |
---|
| 267 | DO jn = 1, kjpt ! tracer loop |
---|
| 268 | ! ! =========== |
---|
| 269 | zfu(:,:,:) = 0.0 ; zfc(:,:,:) = 0.0 |
---|
| 270 | zfd(:,:,:) = 0.0 ; zwy(:,:,:) = 0.0 |
---|
| 271 | ! |
---|
| 272 | DO jk = 1, jpkm1 |
---|
| 273 | ! |
---|
| 274 | !--- Computation of the ustream and downstream value of the tracer and the mask |
---|
| 275 | DO jj = 2, jpjm1 |
---|
| 276 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 277 | ! Upstream in the x-direction for the tracer |
---|
| 278 | zfc(ji,jj,jk) = ptb(ji,jj-1,jk,jn) |
---|
| 279 | ! Downstream in the x-direction for the tracer |
---|
| 280 | zfd(ji,jj,jk) = ptb(ji,jj+1,jk,jn) |
---|
| 281 | END DO |
---|
[1559] | 282 | END DO |
---|
| 283 | END DO |
---|
[2528] | 284 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 285 | |
---|
| 286 | |
---|
[1231] | 287 | ! |
---|
| 288 | ! Horizontal advective fluxes |
---|
| 289 | ! --------------------------- |
---|
| 290 | ! |
---|
[2528] | 291 | DO jk = 1, jpkm1 |
---|
| 292 | DO jj = 2, jpjm1 |
---|
| 293 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 294 | zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 295 | zfu(ji,jj,jk) = zdir * zfc(ji,jj,jk ) + ( 1. - zdir ) * zfd(ji,jj+1,jk) ! FU in the x-direction for T |
---|
| 296 | END DO |
---|
[1559] | 297 | END DO |
---|
| 298 | END DO |
---|
[1231] | 299 | ! |
---|
[2528] | 300 | DO jk = 1, jpkm1 |
---|
| 301 | zdt = p2dt(jk) |
---|
| 302 | DO jj = 2, jpjm1 |
---|
| 303 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 304 | zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
[3301] | 305 | zdx = ( zdir * e2t(ji,jj) + ( 1. - zdir ) * e2t(ji,jj+1) ) * e1v(ji,jj) * fse3v(ji,jj,jk) |
---|
[2528] | 306 | zwy(ji,jj,jk) = ABS( pvn(ji,jj,jk) ) * zdt / zdx ! (0<zc_cfl<1 : Courant number on x-direction) |
---|
| 307 | 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 |
---|
| 308 | 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 |
---|
| 309 | END DO |
---|
| 310 | END DO |
---|
| 311 | END DO |
---|
| 312 | |
---|
| 313 | !--- Lateral boundary conditions |
---|
| 314 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zfd(:,:,:), 'T', 1. ) |
---|
| 315 | CALL lbc_lnk( zfc(:,:,:), 'T', 1. ) ; CALL lbc_lnk( zwy(:,:,:), 'T', 1. ) |
---|
| 316 | |
---|
[1231] | 317 | !--- QUICKEST scheme |
---|
[2528] | 318 | CALL quickest( zfu, zfd, zfc, zwy ) |
---|
[1231] | 319 | ! |
---|
[2528] | 320 | ! Mask at the T-points in the x-direction (mask=0 or mask=1) |
---|
| 321 | DO jk = 1, jpkm1 |
---|
| 322 | DO jj = 2, jpjm1 |
---|
| 323 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 324 | zfu(ji,jj,jk) = tmask(ji,jj-1,jk) + tmask(ji,jj,jk) + tmask(ji,jj+1,jk) - 2. |
---|
| 325 | END DO |
---|
[1231] | 326 | END DO |
---|
| 327 | END DO |
---|
[2528] | 328 | !--- Lateral boundary conditions |
---|
| 329 | CALL lbc_lnk( zfu(:,:,:), 'T', 1. ) |
---|
| 330 | ! |
---|
| 331 | ! Tracer flux on the x-direction |
---|
| 332 | DO jk = 1, jpkm1 |
---|
| 333 | ! |
---|
[1231] | 334 | DO jj = 2, jpjm1 |
---|
[2528] | 335 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 336 | zdir = 0.5 + SIGN( 0.5, pvn(ji,jj,jk) ) ! if pun > 0 : zdir = 1 otherwise zdir = 0 |
---|
| 337 | !--- If the second ustream point is a land point |
---|
| 338 | !--- the flux is computed by the 1st order UPWIND scheme |
---|
| 339 | zmsk = zdir * zfu(ji,jj,jk) + ( 1. - zdir ) * zfu(ji,jj+1,jk) |
---|
| 340 | zwy(ji,jj,jk) = zmsk * zwy(ji,jj,jk) + ( 1. - zmsk ) * zfc(ji,jj,jk) |
---|
| 341 | zwy(ji,jj,jk) = zwy(ji,jj,jk) * pvn(ji,jj,jk) |
---|
[1231] | 342 | END DO |
---|
| 343 | END DO |
---|
[3300] | 344 | END DO |
---|
| 345 | ! |
---|
| 346 | CALL lbc_lnk( zwy(:,:,:), 'T', 1. ) ! Lateral boundary conditions |
---|
| 347 | ! |
---|
| 348 | ! Computation of the trend |
---|
| 349 | DO jk = 1, jpkm1 |
---|
[2528] | 350 | DO jj = 2, jpjm1 |
---|
| 351 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 352 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 353 | ! horizontal advective trends |
---|
| 354 | ztra = - zbtr * ( zwy(ji,jj,jk) - zwy(ji,jj-1,jk) ) |
---|
| 355 | !--- add it to the general tracer trends |
---|
| 356 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
[1231] | 357 | END DO |
---|
| 358 | END DO |
---|
[2528] | 359 | END DO |
---|
| 360 | ! ! trend diagnostics (contribution of upstream fluxes) |
---|
| 361 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_yad, zwy, pvn, ptn(:,:,:,jn) ) |
---|
| 362 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
| 363 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN |
---|
| 364 | IF( jn == jp_tem ) htr_adv(:) = ptr_vj( zwy(:,:,:) ) |
---|
| 365 | IF( jn == jp_sal ) str_adv(:) = ptr_vj( zwy(:,:,:) ) |
---|
[1231] | 366 | ENDIF |
---|
[2528] | 367 | ! |
---|
| 368 | END DO |
---|
| 369 | ! |
---|
[3294] | 370 | CALL wrk_dealloc( jpi, jpj, jpk, zfu, zfc, zfd ) |
---|
[2715] | 371 | ! |
---|
[1559] | 372 | END SUBROUTINE tra_adv_qck_j |
---|
[1231] | 373 | |
---|
| 374 | |
---|
[2528] | 375 | SUBROUTINE tra_adv_cen2_k( kt, cdtype, pwn, & |
---|
| 376 | & ptn, pta, kjpt ) |
---|
[1231] | 377 | !!---------------------------------------------------------------------- |
---|
| 378 | !! |
---|
| 379 | !!---------------------------------------------------------------------- |
---|
[2715] | 380 | USE oce, ONLY: zwz => ua ! ua used as workspace |
---|
| 381 | ! |
---|
| 382 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 383 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 384 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 385 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pwn ! vertical velocity |
---|
| 386 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptn ! before and now tracer fields |
---|
| 387 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
| 388 | ! |
---|
[2528] | 389 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[2715] | 390 | REAL(wp) :: zbtr , ztra ! local scalars |
---|
[1559] | 391 | !!---------------------------------------------------------------------- |
---|
[2528] | 392 | |
---|
| 393 | ! ! =========== |
---|
| 394 | DO jn = 1, kjpt ! tracer loop |
---|
| 395 | ! ! =========== |
---|
| 396 | ! 1. Bottom value : flux set to zero |
---|
| 397 | zwz(:,:,jpk) = 0.e0 ! Bottom value : flux set to zero |
---|
| 398 | ! |
---|
| 399 | ! ! Surface value |
---|
| 400 | IF( lk_vvl ) THEN ; zwz(:,:, 1 ) = 0.e0 ! Variable volume : flux set to zero |
---|
| 401 | ELSE ; zwz(:,:, 1 ) = pwn(:,:,1) * ptn(:,:,1,jn) ! Constant volume : advective flux through the surface |
---|
| 402 | ENDIF |
---|
| 403 | ! |
---|
| 404 | DO jk = 2, jpkm1 ! Interior point: second order centered tracer flux at w-point |
---|
| 405 | DO jj = 2, jpjm1 |
---|
| 406 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 407 | zwz(ji,jj,jk) = 0.5 * pwn(ji,jj,jk) * ( ptn(ji,jj,jk-1,jn) + ptn(ji,jj,jk,jn) ) |
---|
| 408 | END DO |
---|
[1231] | 409 | END DO |
---|
| 410 | END DO |
---|
[2528] | 411 | ! |
---|
| 412 | DO jk = 1, jpkm1 !== Tracer flux divergence added to the general trend ==! |
---|
| 413 | DO jj = 2, jpjm1 |
---|
| 414 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 415 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 416 | ! k- vertical advective trends |
---|
| 417 | ztra = - zbtr * ( zwz(ji,jj,jk) - zwz(ji,jj,jk+1) ) |
---|
| 418 | ! added to the general tracer trends |
---|
| 419 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
| 420 | END DO |
---|
[1231] | 421 | END DO |
---|
| 422 | END DO |
---|
[2528] | 423 | ! ! Save the vertical advective trends for diagnostic |
---|
| 424 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_zad, zwz, pwn, ptn(:,:,:,jn) ) |
---|
| 425 | ! |
---|
[1231] | 426 | END DO |
---|
| 427 | ! |
---|
[1559] | 428 | END SUBROUTINE tra_adv_cen2_k |
---|
[1231] | 429 | |
---|
| 430 | |
---|
[2528] | 431 | SUBROUTINE quickest( pfu, pfd, pfc, puc ) |
---|
[1231] | 432 | !!---------------------------------------------------------------------- |
---|
| 433 | !! |
---|
[2528] | 434 | !! ** Purpose : Computation of advective flux with Quickest scheme |
---|
| 435 | !! |
---|
| 436 | !! ** Method : |
---|
[1231] | 437 | !!---------------------------------------------------------------------- |
---|
[2528] | 438 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfu ! second upwind point |
---|
| 439 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfd ! first douwning point |
---|
| 440 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pfc ! the central point (or the first upwind point) |
---|
| 441 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: puc ! input as Courant number ; output as flux |
---|
| 442 | !! |
---|
| 443 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 444 | REAL(wp) :: zcoef1, zcoef2, zcoef3 ! local scalars |
---|
| 445 | REAL(wp) :: zc, zcurv, zfho ! - - |
---|
| 446 | !---------------------------------------------------------------------- |
---|
[3294] | 447 | ! |
---|
| 448 | IF( nn_timing == 1 ) CALL timing_start('quickest') |
---|
| 449 | ! |
---|
[2528] | 450 | DO jk = 1, jpkm1 |
---|
| 451 | DO jj = 1, jpj |
---|
| 452 | DO ji = 1, jpi |
---|
| 453 | zc = puc(ji,jj,jk) ! Courant number |
---|
| 454 | zcurv = pfd(ji,jj,jk) + pfu(ji,jj,jk) - 2. * pfc(ji,jj,jk) |
---|
| 455 | zcoef1 = 0.5 * ( pfc(ji,jj,jk) + pfd(ji,jj,jk) ) |
---|
| 456 | zcoef2 = 0.5 * zc * ( pfd(ji,jj,jk) - pfc(ji,jj,jk) ) |
---|
| 457 | zcoef3 = ( 1. - ( zc * zc ) ) * r1_6 * zcurv |
---|
| 458 | zfho = zcoef1 - zcoef2 - zcoef3 ! phi_f QUICKEST |
---|
| 459 | ! |
---|
| 460 | zcoef1 = pfd(ji,jj,jk) - pfu(ji,jj,jk) |
---|
| 461 | zcoef2 = ABS( zcoef1 ) |
---|
| 462 | zcoef3 = ABS( zcurv ) |
---|
| 463 | IF( zcoef3 >= zcoef2 ) THEN |
---|
| 464 | zfho = pfc(ji,jj,jk) |
---|
| 465 | ELSE |
---|
| 466 | zcoef3 = pfu(ji,jj,jk) + ( ( pfc(ji,jj,jk) - pfu(ji,jj,jk) ) / MAX( zc, 1.e-9 ) ) ! phi_REF |
---|
| 467 | IF( zcoef1 >= 0. ) THEN |
---|
| 468 | zfho = MAX( pfc(ji,jj,jk), zfho ) |
---|
| 469 | zfho = MIN( zfho, MIN( zcoef3, pfd(ji,jj,jk) ) ) |
---|
| 470 | ELSE |
---|
| 471 | zfho = MIN( pfc(ji,jj,jk), zfho ) |
---|
| 472 | zfho = MAX( zfho, MAX( zcoef3, pfd(ji,jj,jk) ) ) |
---|
| 473 | ENDIF |
---|
| 474 | ENDIF |
---|
| 475 | puc(ji,jj,jk) = zfho |
---|
| 476 | END DO |
---|
| 477 | END DO |
---|
| 478 | END DO |
---|
[1231] | 479 | ! |
---|
[3294] | 480 | IF( nn_timing == 1 ) CALL timing_stop('quickest') |
---|
| 481 | ! |
---|
[1231] | 482 | END SUBROUTINE quickest |
---|
| 483 | |
---|
| 484 | !!====================================================================== |
---|
| 485 | END MODULE traadv_qck |
---|