[5770] | 1 | MODULE traadv_fct |
---|
[3] | 2 | !!============================================================================== |
---|
[5770] | 3 | !! *** MODULE traadv_fct *** |
---|
| 4 | !! Ocean tracers: horizontal & vertical advective trend (2nd/4th order Flux Corrected Transport method) |
---|
[3] | 5 | !!============================================================================== |
---|
[5770] | 6 | !! History : 3.7 ! 2015-09 (L. Debreu, G. Madec) original code (inspired from traadv_tvd.F90) |
---|
[503] | 7 | !!---------------------------------------------------------------------- |
---|
[3] | 8 | |
---|
| 9 | !!---------------------------------------------------------------------- |
---|
[5770] | 10 | !! tra_adv_fct : update the tracer trend with a 3D advective trends using a 2nd or 4th order FCT scheme |
---|
| 11 | !! tra_adv_fct_zts: update the tracer trend with a 3D advective trends using a 2nd order FCT scheme |
---|
| 12 | !! with sub-time-stepping in the vertical direction |
---|
| 13 | !! nonosc : compute monotonic tracer fluxes by a non-oscillatory algorithm |
---|
| 14 | !! interp_4th_cpt : 4th order compact scheme for the vertical component of the advection |
---|
[3] | 15 | !!---------------------------------------------------------------------- |
---|
[3625] | 16 | USE oce ! ocean dynamics and active tracers |
---|
| 17 | USE dom_oce ! ocean space and time domain |
---|
[4990] | 18 | USE trc_oce ! share passive tracers/Ocean variables |
---|
| 19 | USE trd_oce ! trends: ocean variables |
---|
[3625] | 20 | USE trdtra ! tracers trends |
---|
[4990] | 21 | USE diaptr ! poleward transport diagnostics |
---|
| 22 | ! |
---|
[5770] | 23 | USE in_out_manager ! I/O manager |
---|
[3625] | 24 | USE lib_mpp ! MPP library |
---|
| 25 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
---|
[5770] | 26 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
[3625] | 27 | USE wrk_nemo ! Memory Allocation |
---|
| 28 | USE timing ! Timing |
---|
[3] | 29 | |
---|
| 30 | IMPLICIT NONE |
---|
| 31 | PRIVATE |
---|
| 32 | |
---|
[5770] | 33 | PUBLIC tra_adv_fct ! routine called by traadv.F90 |
---|
| 34 | PUBLIC tra_adv_fct_zts ! routine called by traadv.F90 |
---|
| 35 | PUBLIC interp_4th_cpt ! routine called by traadv_cen.F90 |
---|
[3] | 36 | |
---|
[5770] | 37 | LOGICAL :: l_trd ! flag to compute trends |
---|
| 38 | REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 |
---|
[2528] | 39 | |
---|
[3] | 40 | !! * Substitutions |
---|
| 41 | # include "vectopt_loop_substitute.h90" |
---|
| 42 | !!---------------------------------------------------------------------- |
---|
[5770] | 43 | !! NEMO/OPA 3.7 , NEMO Consortium (2014) |
---|
[1152] | 44 | !! $Id$ |
---|
[2528] | 45 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 46 | !!---------------------------------------------------------------------- |
---|
| 47 | CONTAINS |
---|
| 48 | |
---|
[5770] | 49 | SUBROUTINE tra_adv_fct( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
---|
| 50 | & ptb, ptn, pta, kjpt, kn_fct_h, kn_fct_v ) |
---|
[3] | 51 | !!---------------------------------------------------------------------- |
---|
[5770] | 52 | !! *** ROUTINE tra_adv_fct *** |
---|
[3] | 53 | !! |
---|
[6140] | 54 | !! ** Purpose : Compute the now trend due to total advection of tracers |
---|
| 55 | !! and add it to the general trend of tracer equations |
---|
[3] | 56 | !! |
---|
[5770] | 57 | !! ** Method : - 2nd or 4th FCT scheme on the horizontal direction |
---|
| 58 | !! (choice through the value of kn_fct) |
---|
[6140] | 59 | !! - on the vertical the 4th order is a compact scheme |
---|
[5770] | 60 | !! - corrected flux (monotonic correction) |
---|
[3] | 61 | !! |
---|
[6140] | 62 | !! ** Action : - update pta with the now advective tracer trends |
---|
| 63 | !! - send trends to trdtra module for further diagnostcs (l_trdtra=T) |
---|
| 64 | !! - htr_adv, str_adv : poleward advective heat and salt transport (ln_diaptr=T) |
---|
[503] | 65 | !!---------------------------------------------------------------------- |
---|
[2528] | 66 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[3294] | 67 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
[2528] | 68 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 69 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
[5770] | 70 | INTEGER , INTENT(in ) :: kn_fct_h ! order of the FCT scheme (=2 or 4) |
---|
| 71 | INTEGER , INTENT(in ) :: kn_fct_v ! order of the FCT scheme (=2 or 4) |
---|
[6140] | 72 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[2528] | 73 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
---|
| 74 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 75 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[2715] | 76 | ! |
---|
[5770] | 77 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[6140] | 78 | REAL(wp) :: ztra ! local scalar |
---|
[5770] | 79 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk, zC2t_u, zC4t_u ! - - |
---|
| 80 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk, zC2t_v, zC4t_v ! - - |
---|
| 81 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwx, zwy, zwz, ztu, ztv, zltu, zltv, ztw |
---|
| 82 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdx, ztrdy, ztrdz |
---|
[3] | 83 | !!---------------------------------------------------------------------- |
---|
[3294] | 84 | ! |
---|
[5770] | 85 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_fct') |
---|
[3294] | 86 | ! |
---|
[5770] | 87 | CALL wrk_alloc( jpi,jpj,jpk, zwi, zwx, zwy, zwz, ztu, ztv, zltu, zltv, ztw ) |
---|
[3294] | 88 | ! |
---|
| 89 | IF( kt == kit000 ) THEN |
---|
[2528] | 90 | IF(lwp) WRITE(numout,*) |
---|
[5770] | 91 | IF(lwp) WRITE(numout,*) 'tra_adv_fct : FCT advection scheme on ', cdtype |
---|
[2528] | 92 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
[3] | 93 | ENDIF |
---|
[2528] | 94 | ! |
---|
[5770] | 95 | l_trd = .FALSE. |
---|
| 96 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
---|
| 97 | ! |
---|
[2528] | 98 | IF( l_trd ) THEN |
---|
[3294] | 99 | CALL wrk_alloc( jpi, jpj, jpk, ztrdx, ztrdy, ztrdz ) |
---|
[5770] | 100 | ztrdx(:,:,:) = 0._wp ; ztrdy(:,:,:) = 0._wp ; ztrdz(:,:,:) = 0._wp |
---|
[3294] | 101 | ENDIF |
---|
[2528] | 102 | ! |
---|
[6140] | 103 | ! ! surface & bottom value : flux set to zero one for all |
---|
| 104 | zwz(:,:, 1 ) = 0._wp |
---|
[5770] | 105 | zwx(:,:,jpk) = 0._wp ; zwy(:,:,jpk) = 0._wp ; zwz(:,:,jpk) = 0._wp |
---|
[2528] | 106 | ! |
---|
[5770] | 107 | zwi(:,:,:) = 0._wp |
---|
[6140] | 108 | ! |
---|
| 109 | DO jn = 1, kjpt !== loop over the tracers ==! |
---|
[5770] | 110 | ! |
---|
| 111 | ! !== upstream advection with initial mass fluxes & intermediate update ==! |
---|
| 112 | ! !* upstream tracer flux in the i and j direction |
---|
[2528] | 113 | DO jk = 1, jpkm1 |
---|
| 114 | DO jj = 1, jpjm1 |
---|
| 115 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 116 | ! upstream scheme |
---|
| 117 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
---|
| 118 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
---|
| 119 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
---|
| 120 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
---|
| 121 | zwx(ji,jj,jk) = 0.5 * ( zfp_ui * ptb(ji,jj,jk,jn) + zfm_ui * ptb(ji+1,jj ,jk,jn) ) |
---|
| 122 | zwy(ji,jj,jk) = 0.5 * ( zfp_vj * ptb(ji,jj,jk,jn) + zfm_vj * ptb(ji ,jj+1,jk,jn) ) |
---|
| 123 | END DO |
---|
[3] | 124 | END DO |
---|
| 125 | END DO |
---|
[5770] | 126 | ! !* upstream tracer flux in the k direction *! |
---|
[6140] | 127 | DO jk = 2, jpkm1 ! Interior value ( multiplied by wmask) |
---|
[4990] | 128 | DO jj = 1, jpj |
---|
| 129 | DO ji = 1, jpi |
---|
[2528] | 130 | zfp_wk = pwn(ji,jj,jk) + ABS( pwn(ji,jj,jk) ) |
---|
| 131 | zfm_wk = pwn(ji,jj,jk) - ABS( pwn(ji,jj,jk) ) |
---|
[5120] | 132 | zwz(ji,jj,jk) = 0.5 * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
---|
[2528] | 133 | END DO |
---|
[3] | 134 | END DO |
---|
| 135 | END DO |
---|
[6140] | 136 | IF( ln_linssh ) THEN ! top ocean value (only in linear free surface as zwz has been w-masked) |
---|
[5770] | 137 | IF( ln_isfcav ) THEN ! top of the ice-shelf cavities and at the ocean surface |
---|
[5120] | 138 | DO jj = 1, jpj |
---|
| 139 | DO ji = 1, jpi |
---|
| 140 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) ! linear free surface |
---|
| 141 | END DO |
---|
| 142 | END DO |
---|
[5770] | 143 | ELSE ! no cavities: only at the ocean surface |
---|
| 144 | zwz(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) |
---|
| 145 | ENDIF |
---|
[5120] | 146 | ENDIF |
---|
[5770] | 147 | ! |
---|
| 148 | DO jk = 1, jpkm1 !* trend and after field with monotonic scheme |
---|
[216] | 149 | DO jj = 2, jpjm1 |
---|
| 150 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6691] | 151 | ! ! total intermediate advective trends |
---|
[5770] | 152 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 153 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
[6691] | 154 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
| 155 | ! ! update and guess with monotonic sheme |
---|
| 156 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra / e3t_n(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 157 | zwi(ji,jj,jk) = ( e3t_b(ji,jj,jk) * ptb(ji,jj,jk,jn) + p2dt * ztra ) / e3t_a(ji,jj,jk) * tmask(ji,jj,jk) |
---|
[216] | 158 | END DO |
---|
| 159 | END DO |
---|
| 160 | END DO |
---|
[5770] | 161 | CALL lbc_lnk( zwi, 'T', 1. ) ! Lateral boundary conditions on zwi (unchanged sign) |
---|
| 162 | ! |
---|
| 163 | IF( l_trd ) THEN ! trend diagnostics (contribution of upstream fluxes) |
---|
[6691] | 164 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
---|
[2528] | 165 | END IF |
---|
[5770] | 166 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[5147] | 167 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
| 168 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) |
---|
| 169 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) |
---|
[2528] | 170 | ENDIF |
---|
[5770] | 171 | ! |
---|
| 172 | ! !== anti-diffusive flux : high order minus low order ==! |
---|
| 173 | ! |
---|
[6140] | 174 | SELECT CASE( kn_fct_h ) !* horizontal anti-diffusive fluxes |
---|
[5770] | 175 | ! |
---|
[6140] | 176 | CASE( 2 ) !- 2nd order centered |
---|
[5770] | 177 | DO jk = 1, jpkm1 |
---|
| 178 | DO jj = 1, jpjm1 |
---|
| 179 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 180 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj,jk,jn) ) - zwx(ji,jj,jk) |
---|
| 181 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj+1,jk,jn) ) - zwy(ji,jj,jk) |
---|
| 182 | END DO |
---|
[503] | 183 | END DO |
---|
| 184 | END DO |
---|
[5770] | 185 | ! |
---|
[6140] | 186 | CASE( 4 ) !- 4th order centered |
---|
| 187 | zltu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
---|
[5770] | 188 | zltv(:,:,jpk) = 0._wp |
---|
[6140] | 189 | DO jk = 1, jpkm1 ! Laplacian |
---|
| 190 | DO jj = 1, jpjm1 ! 1st derivative (gradient) |
---|
[5770] | 191 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 192 | ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
---|
| 193 | ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
---|
| 194 | END DO |
---|
[503] | 195 | END DO |
---|
[6140] | 196 | DO jj = 2, jpjm1 ! 2nd derivative * 1/ 6 |
---|
[5770] | 197 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 198 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) + ztu(ji-1,jj,jk) ) * r1_6 |
---|
| 199 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) + ztv(ji,jj-1,jk) ) * r1_6 |
---|
| 200 | END DO |
---|
| 201 | END DO |
---|
[503] | 202 | END DO |
---|
[5770] | 203 | CALL lbc_lnk( zltu, 'T', 1. ) ; CALL lbc_lnk( zltv, 'T', 1. ) ! Lateral boundary cond. (unchanged sgn) |
---|
| 204 | ! |
---|
[6140] | 205 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
---|
[5770] | 206 | DO jj = 1, jpjm1 |
---|
| 207 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 208 | zC2t_u = ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ! 2 x C2 interpolation of T at u- & v-points |
---|
| 209 | zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) |
---|
| 210 | ! ! C4 minus upstream advective fluxes |
---|
| 211 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( zC2t_u + zltu(ji,jj,jk) - zltu(ji+1,jj,jk) ) - zwx(ji,jj,jk) |
---|
| 212 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( zC2t_v + zltv(ji,jj,jk) - zltv(ji,jj+1,jk) ) - zwy(ji,jj,jk) |
---|
| 213 | END DO |
---|
[5120] | 214 | END DO |
---|
[5770] | 215 | END DO |
---|
| 216 | ! |
---|
[6140] | 217 | CASE( 41 ) !- 4th order centered ==>> !!gm coding attempt need to be tested |
---|
| 218 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
---|
[5770] | 219 | ztv(:,:,jpk) = 0._wp |
---|
[6140] | 220 | DO jk = 1, jpkm1 ! 1st derivative (gradient) |
---|
| 221 | DO jj = 1, jpjm1 |
---|
[5770] | 222 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 223 | ztu(ji,jj,jk) = ( ptn(ji+1,jj ,jk,jn) - ptn(ji,jj,jk,jn) ) * umask(ji,jj,jk) |
---|
| 224 | ztv(ji,jj,jk) = ( ptn(ji ,jj+1,jk,jn) - ptn(ji,jj,jk,jn) ) * vmask(ji,jj,jk) |
---|
| 225 | END DO |
---|
| 226 | END DO |
---|
[5120] | 227 | END DO |
---|
[5770] | 228 | CALL lbc_lnk( ztu, 'U', -1. ) ; CALL lbc_lnk( ztv, 'V', -1. ) ! Lateral boundary cond. (unchanged sgn) |
---|
| 229 | ! |
---|
[6140] | 230 | DO jk = 1, jpkm1 ! Horizontal advective fluxes |
---|
[5770] | 231 | DO jj = 2, jpjm1 |
---|
| 232 | DO ji = 2, fs_jpim1 ! vector opt. |
---|
| 233 | zC2t_u = ptn(ji,jj,jk,jn) + ptn(ji+1,jj ,jk,jn) ! 2 x C2 interpolation of T at u- & v-points (x2) |
---|
| 234 | zC2t_v = ptn(ji,jj,jk,jn) + ptn(ji ,jj+1,jk,jn) |
---|
| 235 | ! ! C4 interpolation of T at u- & v-points (x2) |
---|
| 236 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj ,jk) - ztu(ji+1,jj ,jk) ) |
---|
| 237 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji ,jj-1,jk) - ztv(ji ,jj+1,jk) ) |
---|
| 238 | ! ! C4 minus upstream advective fluxes |
---|
| 239 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * zC4t_u - zwx(ji,jj,jk) |
---|
| 240 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * zC4t_v - zwy(ji,jj,jk) |
---|
| 241 | END DO |
---|
| 242 | END DO |
---|
| 243 | END DO |
---|
| 244 | ! |
---|
| 245 | END SELECT |
---|
[6140] | 246 | ! |
---|
| 247 | SELECT CASE( kn_fct_v ) !* vertical anti-diffusive fluxes (w-masked interior values) |
---|
[5770] | 248 | ! |
---|
[6140] | 249 | CASE( 2 ) !- 2nd order centered |
---|
[5770] | 250 | DO jk = 2, jpkm1 |
---|
| 251 | DO jj = 2, jpjm1 |
---|
| 252 | DO ji = fs_2, fs_jpim1 |
---|
[6140] | 253 | zwz(ji,jj,jk) = ( pwn(ji,jj,jk) * 0.5_wp * ( ptn(ji,jj,jk,jn) + ptn(ji,jj,jk-1,jn) ) & |
---|
| 254 | & - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
[5770] | 255 | END DO |
---|
| 256 | END DO |
---|
| 257 | END DO |
---|
| 258 | ! |
---|
[6140] | 259 | CASE( 4 ) !- 4th order COMPACT |
---|
| 260 | CALL interp_4th_cpt( ptn(:,:,:,jn) , ztw ) ! zwt = COMPACT interpolation of T at w-point |
---|
[5770] | 261 | DO jk = 2, jpkm1 |
---|
| 262 | DO jj = 2, jpjm1 |
---|
| 263 | DO ji = fs_2, fs_jpim1 |
---|
| 264 | zwz(ji,jj,jk) = ( pwn(ji,jj,jk) * ztw(ji,jj,jk) - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
| 265 | END DO |
---|
| 266 | END DO |
---|
| 267 | END DO |
---|
| 268 | ! |
---|
| 269 | END SELECT |
---|
[6140] | 270 | IF( ln_linssh ) THEN ! top ocean value: high order = upstream ==>> zwz=0 |
---|
| 271 | zwz(:,:,1) = 0._wp ! only ocean surface as interior zwz values have been w-masked |
---|
| 272 | ENDIF |
---|
[5770] | 273 | ! |
---|
[2528] | 274 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! Lateral bondary conditions |
---|
| 275 | CALL lbc_lnk( zwz, 'W', 1. ) |
---|
[6140] | 276 | ! |
---|
[5770] | 277 | ! !== monotonicity algorithm ==! |
---|
| 278 | ! |
---|
[2528] | 279 | CALL nonosc( ptb(:,:,:,jn), zwx, zwy, zwz, zwi, p2dt ) |
---|
[6140] | 280 | ! |
---|
[5770] | 281 | ! !== final trend with corrected fluxes ==! |
---|
| 282 | ! |
---|
[216] | 283 | DO jk = 1, jpkm1 |
---|
| 284 | DO jj = 2, jpjm1 |
---|
[2528] | 285 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5770] | 286 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 287 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 288 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) & |
---|
[6140] | 289 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
---|
[216] | 290 | END DO |
---|
| 291 | END DO |
---|
| 292 | END DO |
---|
[5770] | 293 | ! |
---|
[6140] | 294 | IF( l_trd ) THEN ! trend diagnostics (contribution of upstream fluxes) |
---|
[2528] | 295 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< Add to previously computed |
---|
| 296 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! <<< Add to previously computed |
---|
| 297 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! <<< Add to previously computed |
---|
[5770] | 298 | ! |
---|
| 299 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztrdx, pun, ptn(:,:,:,jn) ) |
---|
| 300 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztrdy, pvn, ptn(:,:,:,jn) ) |
---|
| 301 | CALL trd_tra( kt, cdtype, jn, jptra_zad, ztrdz, pwn, ptn(:,:,:,jn) ) |
---|
| 302 | ! |
---|
| 303 | CALL wrk_dealloc( jpi,jpj,jpk, ztrdx, ztrdy, ztrdz ) |
---|
[2528] | 304 | END IF |
---|
[6140] | 305 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[5147] | 306 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
[6140] | 307 | IF( jn == jp_tem ) htr_adv(:) = htr_adv(:) + ptr_sj( zwy(:,:,:) ) |
---|
| 308 | IF( jn == jp_sal ) str_adv(:) = str_adv(:) + ptr_sj( zwy(:,:,:) ) |
---|
[2528] | 309 | ENDIF |
---|
[503] | 310 | ! |
---|
[6140] | 311 | END DO ! end of tracer loop |
---|
[503] | 312 | ! |
---|
[5770] | 313 | CALL wrk_dealloc( jpi,jpj,jpk, zwi, zwx, zwy, zwz, ztu, ztv, zltu, zltv, ztw ) |
---|
[2528] | 314 | ! |
---|
[5770] | 315 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_fct') |
---|
[2715] | 316 | ! |
---|
[5770] | 317 | END SUBROUTINE tra_adv_fct |
---|
[3] | 318 | |
---|
[5737] | 319 | |
---|
[5770] | 320 | SUBROUTINE tra_adv_fct_zts( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
---|
| 321 | & ptb, ptn, pta, kjpt, kn_fct_zts ) |
---|
[4990] | 322 | !!---------------------------------------------------------------------- |
---|
[5770] | 323 | !! *** ROUTINE tra_adv_fct_zts *** |
---|
[4990] | 324 | !! |
---|
| 325 | !! ** Purpose : Compute the now trend due to total advection of |
---|
| 326 | !! tracers and add it to the general trend of tracer equations |
---|
| 327 | !! |
---|
| 328 | !! ** Method : TVD ZTS scheme, i.e. 2nd order centered scheme with |
---|
| 329 | !! corrected flux (monotonic correction). This version use sub- |
---|
| 330 | !! timestepping for the vertical advection which increases stability |
---|
| 331 | !! when vertical metrics are small. |
---|
| 332 | !! note: - this advection scheme needs a leap-frog time scheme |
---|
| 333 | !! |
---|
| 334 | !! ** Action : - update (pta) with the now advective tracer trends |
---|
| 335 | !! - save the trends |
---|
| 336 | !!---------------------------------------------------------------------- |
---|
| 337 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 338 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
| 339 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 340 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
[5770] | 341 | INTEGER , INTENT(in ) :: kn_fct_zts ! number of number of vertical sub-timesteps |
---|
[6140] | 342 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[4990] | 343 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
---|
| 344 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb, ptn ! before and now tracer fields |
---|
| 345 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
| 346 | ! |
---|
| 347 | REAL(wp), DIMENSION( jpk ) :: zts ! length of sub-timestep for vertical advection |
---|
[6140] | 348 | REAL(wp) :: zr_p2dt ! reciprocal of tracer timestep |
---|
[4990] | 349 | INTEGER :: ji, jj, jk, jl, jn ! dummy loop indices |
---|
| 350 | INTEGER :: jtb, jtn, jta ! sub timestep pointers for leap-frog/euler forward steps |
---|
| 351 | INTEGER :: jtaken ! toggle for collecting appropriate fluxes from sub timesteps |
---|
| 352 | REAL(wp) :: z_rzts ! Fractional length of Euler forward sub-timestep for vertical advection |
---|
[6140] | 353 | REAL(wp) :: ztra ! local scalar |
---|
[4990] | 354 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk ! - - |
---|
| 355 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk ! - - |
---|
[5770] | 356 | REAL(wp), POINTER, DIMENSION(:,: ) :: zwx_sav , zwy_sav |
---|
| 357 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwx, zwy, zwz, zhdiv, zwzts, zwz_sav |
---|
| 358 | REAL(wp), POINTER, DIMENSION(:,:,:) :: ztrdx, ztrdy, ztrdz |
---|
| 359 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: ztrs |
---|
[4990] | 360 | !!---------------------------------------------------------------------- |
---|
| 361 | ! |
---|
[5770] | 362 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_fct_zts') |
---|
[4990] | 363 | ! |
---|
[5770] | 364 | CALL wrk_alloc( jpi,jpj, zwx_sav, zwy_sav ) |
---|
[6691] | 365 | CALL wrk_alloc( jpi,jpj,jpk, zwx, zwy, zwz, zwi, zhdiv, zwzts, zwz_sav ) |
---|
[5770] | 366 | CALL wrk_alloc( jpi,jpj,jpk,kjpt+1, ztrs ) |
---|
[4990] | 367 | ! |
---|
| 368 | IF( kt == kit000 ) THEN |
---|
| 369 | IF(lwp) WRITE(numout,*) |
---|
[5770] | 370 | IF(lwp) WRITE(numout,*) 'tra_adv_fct_zts : 2nd order FCT scheme with ', kn_fct_zts, ' vertical sub-timestep on ', cdtype |
---|
[4990] | 371 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 372 | ENDIF |
---|
| 373 | ! |
---|
| 374 | l_trd = .FALSE. |
---|
[5770] | 375 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
---|
[4990] | 376 | ! |
---|
| 377 | IF( l_trd ) THEN |
---|
[5770] | 378 | CALL wrk_alloc( jpi,jpj,jpk, ztrdx, ztrdy, ztrdz ) |
---|
[4990] | 379 | ztrdx(:,:,:) = 0._wp ; ztrdy(:,:,:) = 0._wp ; ztrdz(:,:,:) = 0._wp |
---|
| 380 | ENDIF |
---|
| 381 | ! |
---|
| 382 | zwi(:,:,:) = 0._wp |
---|
[5770] | 383 | z_rzts = 1._wp / REAL( kn_fct_zts, wp ) |
---|
[6140] | 384 | zr_p2dt = 1._wp / p2dt |
---|
[4990] | 385 | ! |
---|
[6140] | 386 | ! surface & Bottom value : flux set to zero for all tracers |
---|
| 387 | zwz(:,:, 1 ) = 0._wp |
---|
| 388 | zwx(:,:,jpk) = 0._wp ; zwz(:,:,jpk) = 0._wp |
---|
| 389 | zwy(:,:,jpk) = 0._wp ; zwi(:,:,jpk) = 0._wp |
---|
| 390 | ! |
---|
[4990] | 391 | ! ! =========== |
---|
| 392 | DO jn = 1, kjpt ! tracer loop |
---|
| 393 | ! ! =========== |
---|
[6140] | 394 | ! |
---|
| 395 | ! Upstream advection with initial mass fluxes & intermediate update |
---|
| 396 | DO jk = 1, jpkm1 ! upstream tracer flux in the i and j direction |
---|
[4990] | 397 | DO jj = 1, jpjm1 |
---|
| 398 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 399 | ! upstream scheme |
---|
| 400 | zfp_ui = pun(ji,jj,jk) + ABS( pun(ji,jj,jk) ) |
---|
| 401 | zfm_ui = pun(ji,jj,jk) - ABS( pun(ji,jj,jk) ) |
---|
| 402 | zfp_vj = pvn(ji,jj,jk) + ABS( pvn(ji,jj,jk) ) |
---|
| 403 | zfm_vj = pvn(ji,jj,jk) - ABS( pvn(ji,jj,jk) ) |
---|
| 404 | zwx(ji,jj,jk) = 0.5_wp * ( zfp_ui * ptb(ji,jj,jk,jn) + zfm_ui * ptb(ji+1,jj ,jk,jn) ) |
---|
| 405 | zwy(ji,jj,jk) = 0.5_wp * ( zfp_vj * ptb(ji,jj,jk,jn) + zfm_vj * ptb(ji ,jj+1,jk,jn) ) |
---|
| 406 | END DO |
---|
| 407 | END DO |
---|
| 408 | END DO |
---|
[6140] | 409 | ! ! upstream tracer flux in the k direction |
---|
| 410 | DO jk = 2, jpkm1 ! Interior value |
---|
[4990] | 411 | DO jj = 1, jpj |
---|
| 412 | DO ji = 1, jpi |
---|
| 413 | zfp_wk = pwn(ji,jj,jk) + ABS( pwn(ji,jj,jk) ) |
---|
| 414 | zfm_wk = pwn(ji,jj,jk) - ABS( pwn(ji,jj,jk) ) |
---|
[5770] | 415 | zwz(ji,jj,jk) = 0.5_wp * ( zfp_wk * ptb(ji,jj,jk,jn) + zfm_wk * ptb(ji,jj,jk-1,jn) ) * wmask(ji,jj,jk) |
---|
[4990] | 416 | END DO |
---|
| 417 | END DO |
---|
| 418 | END DO |
---|
[6140] | 419 | IF( ln_linssh ) THEN ! top value : linear free surface case only (as zwz is multiplied by wmask) |
---|
| 420 | IF( ln_isfcav ) THEN ! ice-shelf cavities: top value |
---|
[5120] | 421 | DO jj = 1, jpj |
---|
| 422 | DO ji = 1, jpi |
---|
[5770] | 423 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) |
---|
[5120] | 424 | END DO |
---|
[5770] | 425 | END DO |
---|
[6140] | 426 | ELSE ! no cavities, surface value |
---|
[5770] | 427 | zwz(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) |
---|
| 428 | ENDIF |
---|
[5120] | 429 | ENDIF |
---|
[5770] | 430 | ! |
---|
| 431 | DO jk = 1, jpkm1 ! total advective trend |
---|
[4990] | 432 | DO jj = 2, jpjm1 |
---|
| 433 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[6140] | 434 | ! ! total intermediate advective trends |
---|
[5770] | 435 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 436 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
[6691] | 437 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
[6140] | 438 | ! ! update and guess with monotonic sheme |
---|
[6691] | 439 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra / e3t_n(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 440 | zwi(ji,jj,jk) = ( e3t_b(ji,jj,jk) * ptb(ji,jj,jk,jn) + p2dt * ztra ) / e3t_a(ji,jj,jk) * tmask(ji,jj,jk) |
---|
[4990] | 441 | END DO |
---|
| 442 | END DO |
---|
| 443 | END DO |
---|
[5770] | 444 | ! |
---|
| 445 | CALL lbc_lnk( zwi, 'T', 1. ) ! Lateral boundary conditions on zwi (unchanged sign) |
---|
| 446 | ! |
---|
| 447 | IF( l_trd ) THEN ! trend diagnostics (contribution of upstream fluxes) |
---|
[4990] | 448 | ztrdx(:,:,:) = zwx(:,:,:) ; ztrdy(:,:,:) = zwy(:,:,:) ; ztrdz(:,:,:) = zwz(:,:,:) |
---|
| 449 | END IF |
---|
[5770] | 450 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[5147] | 451 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
| 452 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) |
---|
| 453 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) |
---|
[4990] | 454 | ENDIF |
---|
| 455 | |
---|
[5770] | 456 | ! 3. anti-diffusive flux : high order minus low order |
---|
| 457 | ! --------------------------------------------------- |
---|
[4990] | 458 | |
---|
[5770] | 459 | DO jk = 1, jpkm1 !* horizontal anti-diffusive fluxes |
---|
| 460 | ! |
---|
[4990] | 461 | DO jj = 1, jpjm1 |
---|
| 462 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 463 | zwx_sav(ji,jj) = zwx(ji,jj,jk) |
---|
| 464 | zwy_sav(ji,jj) = zwy(ji,jj,jk) |
---|
[5770] | 465 | ! |
---|
[4990] | 466 | zwx(ji,jj,jk) = 0.5_wp * pun(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji+1,jj,jk,jn) ) |
---|
| 467 | zwy(ji,jj,jk) = 0.5_wp * pvn(ji,jj,jk) * ( ptn(ji,jj,jk,jn) + ptn(ji,jj+1,jk,jn) ) |
---|
| 468 | END DO |
---|
| 469 | END DO |
---|
[5770] | 470 | ! |
---|
| 471 | DO jj = 2, jpjm1 ! partial horizontal divergence |
---|
[4990] | 472 | DO ji = fs_2, fs_jpim1 |
---|
| 473 | zhdiv(ji,jj,jk) = ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk) & |
---|
| 474 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk) ) |
---|
| 475 | END DO |
---|
| 476 | END DO |
---|
[5770] | 477 | ! |
---|
[4990] | 478 | DO jj = 1, jpjm1 |
---|
| 479 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
[5770] | 480 | zwx(ji,jj,jk) = zwx(ji,jj,jk) - zwx_sav(ji,jj) |
---|
| 481 | zwy(ji,jj,jk) = zwy(ji,jj,jk) - zwy_sav(ji,jj) |
---|
[4990] | 482 | END DO |
---|
| 483 | END DO |
---|
| 484 | END DO |
---|
[6140] | 485 | ! |
---|
[5770] | 486 | ! !* vertical anti-diffusive flux |
---|
| 487 | zwz_sav(:,:,:) = zwz(:,:,:) |
---|
| 488 | ztrs (:,:,:,1) = ptb(:,:,:,jn) |
---|
[6771] | 489 | ztrs (:,:,1,2) = ptb(:,:,1,jn) |
---|
| 490 | ztrs (:,:,1,3) = ptb(:,:,1,jn) |
---|
[5770] | 491 | zwzts (:,:,:) = 0._wp |
---|
[4990] | 492 | ! |
---|
[5770] | 493 | DO jl = 1, kn_fct_zts ! Start of sub timestepping loop |
---|
| 494 | ! |
---|
| 495 | IF( jl == 1 ) THEN ! Euler forward to kick things off |
---|
| 496 | jtb = 1 ; jtn = 1 ; jta = 2 |
---|
[6140] | 497 | zts(:) = p2dt * z_rzts |
---|
[5770] | 498 | jtaken = MOD( kn_fct_zts + 1 , 2) ! Toggle to collect every second flux |
---|
| 499 | ! ! starting at jl =1 if kn_fct_zts is odd; |
---|
| 500 | ! ! starting at jl =2 otherwise |
---|
| 501 | ELSEIF( jl == 2 ) THEN ! First leapfrog step |
---|
| 502 | jtb = 1 ; jtn = 2 ; jta = 3 |
---|
[6140] | 503 | zts(:) = 2._wp * p2dt * z_rzts |
---|
[5770] | 504 | ELSE ! Shuffle pointers for subsequent leapfrog steps |
---|
| 505 | jtb = MOD(jtb,3) + 1 |
---|
| 506 | jtn = MOD(jtn,3) + 1 |
---|
| 507 | jta = MOD(jta,3) + 1 |
---|
[4990] | 508 | ENDIF |
---|
[5770] | 509 | DO jk = 2, jpkm1 ! interior value |
---|
[4990] | 510 | DO jj = 2, jpjm1 |
---|
| 511 | DO ji = fs_2, fs_jpim1 |
---|
[5770] | 512 | zwz(ji,jj,jk) = 0.5_wp * pwn(ji,jj,jk) * ( ztrs(ji,jj,jk,jtn) + ztrs(ji,jj,jk-1,jtn) ) * wmask(ji,jj,jk) |
---|
| 513 | IF( jtaken == 0 ) zwzts(ji,jj,jk) = zwzts(ji,jj,jk) + zwz(ji,jj,jk) * zts(jk) ! Accumulate time-weighted vertcal flux |
---|
[4990] | 514 | END DO |
---|
| 515 | END DO |
---|
| 516 | END DO |
---|
[6140] | 517 | IF( ln_linssh ) THEN ! top value (only in linear free surface case) |
---|
[5770] | 518 | IF( ln_isfcav ) THEN ! ice-shelf cavities |
---|
| 519 | DO jj = 1, jpj |
---|
| 520 | DO ji = 1, jpi |
---|
| 521 | zwz(ji,jj, mikt(ji,jj) ) = pwn(ji,jj,mikt(ji,jj)) * ptb(ji,jj,mikt(ji,jj),jn) ! linear free surface |
---|
| 522 | END DO |
---|
| 523 | END DO |
---|
[6140] | 524 | ELSE ! no ocean cavities |
---|
[5770] | 525 | zwz(:,:,1) = pwn(:,:,1) * ptb(:,:,1,jn) |
---|
| 526 | ENDIF |
---|
| 527 | ENDIF |
---|
| 528 | ! |
---|
[4990] | 529 | jtaken = MOD( jtaken + 1 , 2 ) |
---|
[5770] | 530 | ! |
---|
| 531 | DO jk = 2, jpkm1 ! total advective trends |
---|
[4990] | 532 | DO jj = 2, jpjm1 |
---|
| 533 | DO ji = fs_2, fs_jpim1 |
---|
[5770] | 534 | ztrs(ji,jj,jk,jta) = ztrs(ji,jj,jk,jtb) & |
---|
| 535 | & - zts(jk) * ( zhdiv(ji,jj,jk) + zwz(ji,jj,jk) - zwz(ji,jj,jk+1) ) & |
---|
[6140] | 536 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
---|
[4990] | 537 | END DO |
---|
| 538 | END DO |
---|
| 539 | END DO |
---|
[5770] | 540 | ! |
---|
[4990] | 541 | END DO |
---|
| 542 | |
---|
| 543 | DO jk = 2, jpkm1 ! Anti-diffusive vertical flux using average flux from the sub-timestepping |
---|
| 544 | DO jj = 2, jpjm1 |
---|
| 545 | DO ji = fs_2, fs_jpim1 |
---|
[6140] | 546 | zwz(ji,jj,jk) = ( zwzts(ji,jj,jk) * zr_p2dt - zwz_sav(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
[4990] | 547 | END DO |
---|
| 548 | END DO |
---|
| 549 | END DO |
---|
| 550 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) ! Lateral bondary conditions |
---|
| 551 | CALL lbc_lnk( zwz, 'W', 1. ) |
---|
| 552 | |
---|
| 553 | ! 4. monotonicity algorithm |
---|
| 554 | ! ------------------------- |
---|
| 555 | CALL nonosc( ptb(:,:,:,jn), zwx, zwy, zwz, zwi, p2dt ) |
---|
| 556 | |
---|
| 557 | |
---|
| 558 | ! 5. final trend with corrected fluxes |
---|
| 559 | ! ------------------------------------ |
---|
| 560 | DO jk = 1, jpkm1 |
---|
| 561 | DO jj = 2, jpjm1 |
---|
| 562 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[5770] | 563 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ( zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 564 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) & |
---|
[6140] | 565 | & * r1_e1e2t(ji,jj) / e3t_n(ji,jj,jk) |
---|
[4990] | 566 | END DO |
---|
| 567 | END DO |
---|
| 568 | END DO |
---|
| 569 | |
---|
| 570 | ! ! trend diagnostics (contribution of upstream fluxes) |
---|
| 571 | IF( l_trd ) THEN |
---|
| 572 | ztrdx(:,:,:) = ztrdx(:,:,:) + zwx(:,:,:) ! <<< Add to previously computed |
---|
| 573 | ztrdy(:,:,:) = ztrdy(:,:,:) + zwy(:,:,:) ! <<< Add to previously computed |
---|
| 574 | ztrdz(:,:,:) = ztrdz(:,:,:) + zwz(:,:,:) ! <<< Add to previously computed |
---|
[5770] | 575 | ! |
---|
[4990] | 576 | CALL trd_tra( kt, cdtype, jn, jptra_xad, ztrdx, pun, ptn(:,:,:,jn) ) |
---|
| 577 | CALL trd_tra( kt, cdtype, jn, jptra_yad, ztrdy, pvn, ptn(:,:,:,jn) ) |
---|
| 578 | CALL trd_tra( kt, cdtype, jn, jptra_zad, ztrdz, pwn, ptn(:,:,:,jn) ) |
---|
[5770] | 579 | ! |
---|
| 580 | CALL wrk_dealloc( jpi,jpj,jpk, ztrdx, ztrdy, ztrdz ) |
---|
[4990] | 581 | END IF |
---|
| 582 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[5147] | 583 | IF( cdtype == 'TRA' .AND. ln_diaptr ) THEN |
---|
| 584 | IF( jn == jp_tem ) htr_adv(:) = ptr_sj( zwy(:,:,:) ) + htr_adv(:) |
---|
| 585 | IF( jn == jp_sal ) str_adv(:) = ptr_sj( zwy(:,:,:) ) + str_adv(:) |
---|
[4990] | 586 | ENDIF |
---|
| 587 | ! |
---|
| 588 | END DO |
---|
| 589 | ! |
---|
[5770] | 590 | CALL wrk_alloc( jpi,jpj, zwx_sav, zwy_sav ) |
---|
| 591 | CALL wrk_alloc( jpi,jpj, jpk, zwx, zwy, zwz, zwi, zhdiv, zwzts, zwz_sav ) |
---|
| 592 | CALL wrk_alloc( jpi,jpj,jpk,kjpt+1, ztrs ) |
---|
[4990] | 593 | ! |
---|
[5770] | 594 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_fct_zts') |
---|
[4990] | 595 | ! |
---|
[5770] | 596 | END SUBROUTINE tra_adv_fct_zts |
---|
[4990] | 597 | |
---|
[5737] | 598 | |
---|
[2528] | 599 | SUBROUTINE nonosc( pbef, paa, pbb, pcc, paft, p2dt ) |
---|
[3] | 600 | !!--------------------------------------------------------------------- |
---|
| 601 | !! *** ROUTINE nonosc *** |
---|
| 602 | !! |
---|
| 603 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
| 604 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 605 | !! |
---|
| 606 | !! ** Method : ... ??? |
---|
| 607 | !! warning : pbef and paft must be masked, but the boundaries |
---|
| 608 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 609 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 610 | !! in-space based differencing for fluid |
---|
| 611 | !!---------------------------------------------------------------------- |
---|
[6140] | 612 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[2528] | 613 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(in ) :: pbef, paft ! before & after field |
---|
| 614 | REAL(wp), DIMENSION (jpi,jpj,jpk), INTENT(inout) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
---|
[2715] | 615 | ! |
---|
[4990] | 616 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 617 | INTEGER :: ikm1 ! local integer |
---|
[6140] | 618 | REAL(wp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn ! local scalars |
---|
[2715] | 619 | REAL(wp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo ! - - |
---|
[3294] | 620 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zbetup, zbetdo, zbup, zbdo |
---|
[3] | 621 | !!---------------------------------------------------------------------- |
---|
[3294] | 622 | ! |
---|
| 623 | IF( nn_timing == 1 ) CALL timing_start('nonosc') |
---|
| 624 | ! |
---|
| 625 | CALL wrk_alloc( jpi, jpj, jpk, zbetup, zbetdo, zbup, zbdo ) |
---|
| 626 | ! |
---|
[2715] | 627 | zbig = 1.e+40_wp |
---|
| 628 | zrtrn = 1.e-15_wp |
---|
[4990] | 629 | zbetup(:,:,:) = 0._wp ; zbetdo(:,:,:) = 0._wp |
---|
[785] | 630 | |
---|
[3] | 631 | ! Search local extrema |
---|
| 632 | ! -------------------- |
---|
[785] | 633 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
---|
[4990] | 634 | zbup = MAX( pbef * tmask - zbig * ( 1._wp - tmask ), & |
---|
| 635 | & paft * tmask - zbig * ( 1._wp - tmask ) ) |
---|
| 636 | zbdo = MIN( pbef * tmask + zbig * ( 1._wp - tmask ), & |
---|
| 637 | & paft * tmask + zbig * ( 1._wp - tmask ) ) |
---|
[785] | 638 | |
---|
[5120] | 639 | DO jk = 1, jpkm1 |
---|
| 640 | ikm1 = MAX(jk-1,1) |
---|
| 641 | DO jj = 2, jpjm1 |
---|
| 642 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 643 | |
---|
[785] | 644 | ! search maximum in neighbourhood |
---|
| 645 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 646 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 647 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 648 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
[3] | 649 | |
---|
[785] | 650 | ! search minimum in neighbourhood |
---|
| 651 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 652 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 653 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 654 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
[3] | 655 | |
---|
[785] | 656 | ! positive part of the flux |
---|
[3] | 657 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 658 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 659 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
---|
[785] | 660 | |
---|
| 661 | ! negative part of the flux |
---|
[3] | 662 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
---|
| 663 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
---|
| 664 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
[785] | 665 | |
---|
[3] | 666 | ! up & down beta terms |
---|
[6140] | 667 | zbt = e1e2t(ji,jj) * e3t_n(ji,jj,jk) / p2dt |
---|
[785] | 668 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
---|
| 669 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
---|
[3] | 670 | END DO |
---|
| 671 | END DO |
---|
| 672 | END DO |
---|
[2528] | 673 | CALL lbc_lnk( zbetup, 'T', 1. ) ; CALL lbc_lnk( zbetdo, 'T', 1. ) ! lateral boundary cond. (unchanged sign) |
---|
[3] | 674 | |
---|
[237] | 675 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
---|
| 676 | ! ---------------------------------------- |
---|
[3] | 677 | DO jk = 1, jpkm1 |
---|
| 678 | DO jj = 2, jpjm1 |
---|
| 679 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[4990] | 680 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 681 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
[785] | 682 | zcu = ( 0.5 + SIGN( 0.5 , paa(ji,jj,jk) ) ) |
---|
[4990] | 683 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
---|
[3] | 684 | |
---|
[4990] | 685 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 686 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
[785] | 687 | zcv = ( 0.5 + SIGN( 0.5 , pbb(ji,jj,jk) ) ) |
---|
[4990] | 688 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
---|
[3] | 689 | |
---|
| 690 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 691 | ! ------------------------------------------- |
---|
[785] | 692 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
---|
| 693 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
---|
| 694 | zc = ( 0.5 + SIGN( 0.5 , pcc(ji,jj,jk+1) ) ) |
---|
[4990] | 695 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
---|
[3] | 696 | END DO |
---|
| 697 | END DO |
---|
| 698 | END DO |
---|
[2528] | 699 | CALL lbc_lnk( paa, 'U', -1. ) ; CALL lbc_lnk( pbb, 'V', -1. ) ! lateral boundary condition (changed sign) |
---|
[503] | 700 | ! |
---|
[3294] | 701 | CALL wrk_dealloc( jpi, jpj, jpk, zbetup, zbetdo, zbup, zbdo ) |
---|
[2715] | 702 | ! |
---|
[3294] | 703 | IF( nn_timing == 1 ) CALL timing_stop('nonosc') |
---|
| 704 | ! |
---|
[3] | 705 | END SUBROUTINE nonosc |
---|
| 706 | |
---|
[5770] | 707 | |
---|
| 708 | SUBROUTINE interp_4th_cpt( pt_in, pt_out ) |
---|
| 709 | !!---------------------------------------------------------------------- |
---|
| 710 | !! *** ROUTINE interp_4th_cpt *** |
---|
| 711 | !! |
---|
| 712 | !! ** Purpose : Compute the interpolation of tracer at w-point |
---|
| 713 | !! |
---|
| 714 | !! ** Method : 4th order compact interpolation |
---|
| 715 | !!---------------------------------------------------------------------- |
---|
| 716 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! now tracer fields |
---|
| 717 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT( out) :: pt_out ! now tracer field interpolated at w-pts |
---|
| 718 | ! |
---|
| 719 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 720 | REAL(wp),DIMENSION(jpi,jpj,jpk) :: zwd, zwi, zws, zwrm, zwt |
---|
| 721 | !!---------------------------------------------------------------------- |
---|
| 722 | |
---|
| 723 | DO jk = 3, jpkm1 !== build the three diagonal matrix ==! |
---|
| 724 | DO jj = 1, jpj |
---|
| 725 | DO ji = 1, jpi |
---|
| 726 | zwd (ji,jj,jk) = 4._wp |
---|
| 727 | zwi (ji,jj,jk) = 1._wp |
---|
| 728 | zws (ji,jj,jk) = 1._wp |
---|
| 729 | zwrm(ji,jj,jk) = 3._wp * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 730 | ! |
---|
| 731 | IF( tmask(ji,jj,jk+1) == 0._wp) THEN ! Switch to second order centered at bottom |
---|
| 732 | zwd (ji,jj,jk) = 1._wp |
---|
| 733 | zwi (ji,jj,jk) = 0._wp |
---|
| 734 | zws (ji,jj,jk) = 0._wp |
---|
| 735 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 736 | ENDIF |
---|
| 737 | END DO |
---|
| 738 | END DO |
---|
| 739 | END DO |
---|
| 740 | ! |
---|
| 741 | jk=2 ! Switch to second order centered at top |
---|
| 742 | DO jj=1,jpj |
---|
| 743 | DO ji=1,jpi |
---|
| 744 | zwd (ji,jj,jk) = 1._wp |
---|
| 745 | zwi (ji,jj,jk) = 0._wp |
---|
| 746 | zws (ji,jj,jk) = 0._wp |
---|
| 747 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 748 | END DO |
---|
| 749 | END DO |
---|
| 750 | ! |
---|
| 751 | ! !== tridiagonal solve ==! |
---|
| 752 | DO jj = 1, jpj ! first recurrence |
---|
| 753 | DO ji = 1, jpi |
---|
| 754 | zwt(ji,jj,2) = zwd(ji,jj,2) |
---|
| 755 | END DO |
---|
| 756 | END DO |
---|
| 757 | DO jk = 3, jpkm1 |
---|
| 758 | DO jj = 1, jpj |
---|
| 759 | DO ji = 1, jpi |
---|
| 760 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 761 | END DO |
---|
| 762 | END DO |
---|
| 763 | END DO |
---|
| 764 | ! |
---|
| 765 | DO jj = 1, jpj ! second recurrence: Zk = Yk - Ik / Tk-1 Zk-1 |
---|
| 766 | DO ji = 1, jpi |
---|
| 767 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
---|
| 768 | END DO |
---|
| 769 | END DO |
---|
| 770 | DO jk = 3, jpkm1 |
---|
| 771 | DO jj = 1, jpj |
---|
| 772 | DO ji = 1, jpi |
---|
| 773 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 774 | END DO |
---|
| 775 | END DO |
---|
| 776 | END DO |
---|
| 777 | |
---|
| 778 | DO jj = 1, jpj ! third recurrence: Xk = (Zk - Sk Xk+1 ) / Tk |
---|
| 779 | DO ji = 1, jpi |
---|
| 780 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 781 | END DO |
---|
| 782 | END DO |
---|
| 783 | DO jk = jpk-2, 2, -1 |
---|
| 784 | DO jj = 1, jpj |
---|
| 785 | DO ji = 1, jpi |
---|
| 786 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 787 | END DO |
---|
| 788 | END DO |
---|
| 789 | END DO |
---|
| 790 | ! |
---|
| 791 | END SUBROUTINE interp_4th_cpt |
---|
| 792 | |
---|
[3] | 793 | !!====================================================================== |
---|
[5770] | 794 | END MODULE traadv_fct |
---|