[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 | !! with sub-time-stepping in the vertical direction |
---|
| 12 | !! nonosc : compute monotonic tracer fluxes by a non-oscillatory algorithm |
---|
| 13 | !! interp_4th_cpt : 4th order compact scheme for the vertical component of the advection |
---|
[3] | 14 | !!---------------------------------------------------------------------- |
---|
[3625] | 15 | USE oce ! ocean dynamics and active tracers |
---|
| 16 | USE dom_oce ! ocean space and time domain |
---|
[13516] | 17 | ! TEMP: This change not necessary after trd_tra is tiled |
---|
| 18 | USE domain, ONLY : dom_tile |
---|
[4990] | 19 | USE trc_oce ! share passive tracers/Ocean variables |
---|
| 20 | USE trd_oce ! trends: ocean variables |
---|
[3625] | 21 | USE trdtra ! tracers trends |
---|
[4990] | 22 | USE diaptr ! poleward transport diagnostics |
---|
[7646] | 23 | USE diaar5 ! AR5 diagnostics |
---|
[12489] | 24 | USE phycst , ONLY : rho0_rcp |
---|
[11407] | 25 | USE zdf_oce , ONLY : ln_zad_Aimp |
---|
[4990] | 26 | ! |
---|
[5770] | 27 | USE in_out_manager ! I/O manager |
---|
[9019] | 28 | USE iom ! |
---|
[3625] | 29 | USE lib_mpp ! MPP library |
---|
| 30 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
---|
[5770] | 31 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
[3] | 32 | |
---|
| 33 | IMPLICIT NONE |
---|
| 34 | PRIVATE |
---|
| 35 | |
---|
[9019] | 36 | PUBLIC tra_adv_fct ! called by traadv.F90 |
---|
| 37 | PUBLIC interp_4th_cpt ! called by traadv_cen.F90 |
---|
[3] | 38 | |
---|
[5770] | 39 | LOGICAL :: l_trd ! flag to compute trends |
---|
[7646] | 40 | LOGICAL :: l_ptr ! flag to compute poleward transport |
---|
| 41 | LOGICAL :: l_hst ! flag to compute heat/salt transport |
---|
[5770] | 42 | REAL(wp) :: r1_6 = 1._wp / 6._wp ! =1/6 |
---|
[2528] | 43 | |
---|
[7646] | 44 | ! ! tridiag solver associated indices: |
---|
| 45 | INTEGER, PARAMETER :: np_NH = 0 ! Neumann homogeneous boundary condition |
---|
| 46 | INTEGER, PARAMETER :: np_CEN2 = 1 ! 2nd order centered boundary condition |
---|
| 47 | |
---|
[3] | 48 | !! * Substitutions |
---|
[12377] | 49 | # include "do_loop_substitute.h90" |
---|
[13237] | 50 | # include "domzgr_substitute.h90" |
---|
[3] | 51 | !!---------------------------------------------------------------------- |
---|
[9598] | 52 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
[1152] | 53 | !! $Id$ |
---|
[10068] | 54 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[3] | 55 | !!---------------------------------------------------------------------- |
---|
| 56 | CONTAINS |
---|
| 57 | |
---|
[12377] | 58 | SUBROUTINE tra_adv_fct( kt, kit000, cdtype, p2dt, pU, pV, pW, & |
---|
| 59 | & Kbb, Kmm, pt, kjpt, Krhs, kn_fct_h, kn_fct_v ) |
---|
[3] | 60 | !!---------------------------------------------------------------------- |
---|
[5770] | 61 | !! *** ROUTINE tra_adv_fct *** |
---|
[3] | 62 | !! |
---|
[6140] | 63 | !! ** Purpose : Compute the now trend due to total advection of tracers |
---|
| 64 | !! and add it to the general trend of tracer equations |
---|
[3] | 65 | !! |
---|
[5770] | 66 | !! ** Method : - 2nd or 4th FCT scheme on the horizontal direction |
---|
| 67 | !! (choice through the value of kn_fct) |
---|
[6140] | 68 | !! - on the vertical the 4th order is a compact scheme |
---|
[5770] | 69 | !! - corrected flux (monotonic correction) |
---|
[3] | 70 | !! |
---|
[12377] | 71 | !! ** Action : - update pt(:,:,:,:,Krhs) with the now advective tracer trends |
---|
[9019] | 72 | !! - send trends to trdtra module for further diagnostics (l_trdtra=T) |
---|
[12377] | 73 | !! - poleward advective heat and salt transport (ln_diaptr=T) |
---|
[503] | 74 | !!---------------------------------------------------------------------- |
---|
[12377] | 75 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
| 76 | INTEGER , INTENT(in ) :: Kbb, Kmm, Krhs ! ocean time level indices |
---|
| 77 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
| 78 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 79 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 80 | INTEGER , INTENT(in ) :: kn_fct_h ! order of the FCT scheme (=2 or 4) |
---|
| 81 | INTEGER , INTENT(in ) :: kn_fct_v ! order of the FCT scheme (=2 or 4) |
---|
| 82 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
[13516] | 83 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
---|
[12377] | 84 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pU, pV, pW ! 3 ocean volume flux components |
---|
| 85 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt,jpt), INTENT(inout) :: pt ! tracers and RHS of tracer equation |
---|
[2715] | 86 | ! |
---|
[5770] | 87 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[13516] | 88 | ! TEMP: This change not necessary after trd_tra is tiled |
---|
| 89 | INTEGER :: itile |
---|
[6140] | 90 | REAL(wp) :: ztra ! local scalar |
---|
[5770] | 91 | REAL(wp) :: zfp_ui, zfp_vj, zfp_wk, zC2t_u, zC4t_u ! - - |
---|
| 92 | REAL(wp) :: zfm_ui, zfm_vj, zfm_wk, zC2t_v, zC4t_v ! - - |
---|
[13516] | 93 | REAL(wp), DIMENSION(ST_2D(nn_hls),jpk) :: zwi, zwx, zwy, zwz, ztu, ztv, zltu, zltv, ztw |
---|
| 94 | ! TEMP: This change not necessary after trd_tra is tiled |
---|
| 95 | REAL(wp), DIMENSION(:,:,:), SAVE, ALLOCATABLE :: ztrdx, ztrdy, ztrdz |
---|
| 96 | REAL(wp), DIMENSION(:,:,:) , ALLOCATABLE :: zptry |
---|
| 97 | REAL(wp), DIMENSION(:,:,:) , ALLOCATABLE :: zwinf, zwdia, zwsup |
---|
[11407] | 98 | LOGICAL :: ll_zAimp ! flag to apply adaptive implicit vertical advection |
---|
[3] | 99 | !!---------------------------------------------------------------------- |
---|
[13516] | 100 | ! TEMP: This change not necessary after trd_tra is tiled |
---|
| 101 | itile = ntile |
---|
[3294] | 102 | ! |
---|
[13516] | 103 | IF( ntile == 0 .OR. ntile == 1 ) THEN ! Do only on the first tile |
---|
| 104 | IF( kt == kit000 ) THEN |
---|
| 105 | IF(lwp) WRITE(numout,*) |
---|
| 106 | IF(lwp) WRITE(numout,*) 'tra_adv_fct : FCT advection scheme on ', cdtype |
---|
| 107 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~' |
---|
| 108 | ENDIF |
---|
[13226] | 109 | !! -- init to 0 |
---|
| 110 | zwi(:,:,:) = 0._wp |
---|
| 111 | zwx(:,:,:) = 0._wp |
---|
| 112 | zwy(:,:,:) = 0._wp |
---|
| 113 | zwz(:,:,:) = 0._wp |
---|
| 114 | ztu(:,:,:) = 0._wp |
---|
| 115 | ztv(:,:,:) = 0._wp |
---|
| 116 | zltu(:,:,:) = 0._wp |
---|
| 117 | zltv(:,:,:) = 0._wp |
---|
| 118 | ztw(:,:,:) = 0._wp |
---|
[13516] | 119 | ! |
---|
| 120 | l_trd = .FALSE. ! set local switches |
---|
| 121 | l_hst = .FALSE. |
---|
| 122 | l_ptr = .FALSE. |
---|
| 123 | ll_zAimp = .FALSE. |
---|
| 124 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype =='TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
---|
| 125 | IF( cdtype == 'TRA' .AND. ( iom_use( 'sophtadv' ) .OR. iom_use( 'sophtadv' ) ) ) l_ptr = .TRUE. |
---|
| 126 | IF( cdtype == 'TRA' .AND. ( iom_use("uadv_heattr") .OR. iom_use("vadv_heattr") .OR. & |
---|
| 127 | & iom_use("uadv_salttr") .OR. iom_use("vadv_salttr") ) ) l_hst = .TRUE. |
---|
| 128 | ! |
---|
| 129 | ! TEMP: This can be ST_2D(nn_hls) after trd_tra is tiled |
---|
| 130 | IF( kt == kit000 .AND. (l_trd .OR. l_hst) ) THEN |
---|
| 131 | ALLOCATE( ztrdx(jpi,jpj,jpk), ztrdy(jpi,jpj,jpk), ztrdz(jpi,jpj,jpk) ) |
---|
| 132 | ENDIF |
---|
[3294] | 133 | ENDIF |
---|
[2528] | 134 | ! |
---|
[7646] | 135 | IF( l_ptr ) THEN |
---|
[13516] | 136 | ALLOCATE( zptry(ST_2D(nn_hls),jpk) ) |
---|
[7753] | 137 | zptry(:,:,:) = 0._wp |
---|
[7646] | 138 | ENDIF |
---|
[6140] | 139 | ! ! surface & bottom value : flux set to zero one for all |
---|
[7753] | 140 | zwz(:,:, 1 ) = 0._wp |
---|
| 141 | zwx(:,:,jpk) = 0._wp ; zwy(:,:,jpk) = 0._wp ; zwz(:,:,jpk) = 0._wp |
---|
[2528] | 142 | ! |
---|
[7753] | 143 | zwi(:,:,:) = 0._wp |
---|
| 144 | ! |
---|
[11407] | 145 | ! If adaptive vertical advection, check if it is needed on this PE at this time |
---|
| 146 | IF( ln_zad_Aimp ) THEN |
---|
[13516] | 147 | IF( MAXVAL( ABS( wi(ST_2D(nn_hls),:) ) ) > 0._wp ) ll_zAimp = .TRUE. |
---|
[11407] | 148 | END IF |
---|
| 149 | ! If active adaptive vertical advection, build tridiagonal matrix |
---|
| 150 | IF( ll_zAimp ) THEN |
---|
[13516] | 151 | ALLOCATE(zwdia(ST_2D(nn_hls),jpk), zwinf(ST_2D(nn_hls),jpk), zwsup(ST_2D(nn_hls),jpk)) |
---|
[13295] | 152 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[13237] | 153 | zwdia(ji,jj,jk) = 1._wp + p2dt * ( MAX( wi(ji,jj,jk) , 0._wp ) - MIN( wi(ji,jj,jk+1) , 0._wp ) ) & |
---|
| 154 | & / e3t(ji,jj,jk,Krhs) |
---|
[12377] | 155 | zwinf(ji,jj,jk) = p2dt * MIN( wi(ji,jj,jk ) , 0._wp ) / e3t(ji,jj,jk,Krhs) |
---|
| 156 | zwsup(ji,jj,jk) = -p2dt * MAX( wi(ji,jj,jk+1) , 0._wp ) / e3t(ji,jj,jk,Krhs) |
---|
| 157 | END_3D |
---|
[11407] | 158 | END IF |
---|
| 159 | ! |
---|
[6140] | 160 | DO jn = 1, kjpt !== loop over the tracers ==! |
---|
[5770] | 161 | ! |
---|
| 162 | ! !== upstream advection with initial mass fluxes & intermediate update ==! |
---|
| 163 | ! !* upstream tracer flux in the i and j direction |
---|
[13295] | 164 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
---|
[12377] | 165 | ! upstream scheme |
---|
| 166 | zfp_ui = pU(ji,jj,jk) + ABS( pU(ji,jj,jk) ) |
---|
| 167 | zfm_ui = pU(ji,jj,jk) - ABS( pU(ji,jj,jk) ) |
---|
| 168 | zfp_vj = pV(ji,jj,jk) + ABS( pV(ji,jj,jk) ) |
---|
| 169 | zfm_vj = pV(ji,jj,jk) - ABS( pV(ji,jj,jk) ) |
---|
| 170 | zwx(ji,jj,jk) = 0.5 * ( zfp_ui * pt(ji,jj,jk,jn,Kbb) + zfm_ui * pt(ji+1,jj ,jk,jn,Kbb) ) |
---|
| 171 | zwy(ji,jj,jk) = 0.5 * ( zfp_vj * pt(ji,jj,jk,jn,Kbb) + zfm_vj * pt(ji ,jj+1,jk,jn,Kbb) ) |
---|
| 172 | END_3D |
---|
[5770] | 173 | ! !* upstream tracer flux in the k direction *! |
---|
[13295] | 174 | DO_3D( 1, 1, 1, 1, 2, jpkm1 ) |
---|
[12377] | 175 | zfp_wk = pW(ji,jj,jk) + ABS( pW(ji,jj,jk) ) |
---|
| 176 | zfm_wk = pW(ji,jj,jk) - ABS( pW(ji,jj,jk) ) |
---|
| 177 | zwz(ji,jj,jk) = 0.5 * ( zfp_wk * pt(ji,jj,jk,jn,Kbb) + zfm_wk * pt(ji,jj,jk-1,jn,Kbb) ) * wmask(ji,jj,jk) |
---|
| 178 | END_3D |
---|
[6140] | 179 | IF( ln_linssh ) THEN ! top ocean value (only in linear free surface as zwz has been w-masked) |
---|
[13516] | 180 | ! TODO: NOT TESTED- requires isf |
---|
[5770] | 181 | IF( ln_isfcav ) THEN ! top of the ice-shelf cavities and at the ocean surface |
---|
[13295] | 182 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 183 | zwz(ji,jj, mikt(ji,jj) ) = pW(ji,jj,mikt(ji,jj)) * pt(ji,jj,mikt(ji,jj),jn,Kbb) ! linear free surface |
---|
| 184 | END_2D |
---|
[5770] | 185 | ELSE ! no cavities: only at the ocean surface |
---|
[13295] | 186 | DO_2D( 1, 1, 1, 1 ) |
---|
[13286] | 187 | zwz(ji,jj,1) = pW(ji,jj,1) * pt(ji,jj,1,jn,Kbb) |
---|
| 188 | END_2D |
---|
[5770] | 189 | ENDIF |
---|
[5120] | 190 | ENDIF |
---|
[5770] | 191 | ! |
---|
[13295] | 192 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 193 | ! ! total intermediate advective trends |
---|
| 194 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 195 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 196 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
| 197 | ! ! update and guess with monotonic sheme |
---|
[13237] | 198 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra & |
---|
| 199 | & / e3t(ji,jj,jk,Kmm ) * tmask(ji,jj,jk) |
---|
| 200 | zwi(ji,jj,jk) = ( e3t(ji,jj,jk,Kbb) * pt(ji,jj,jk,jn,Kbb) + p2dt * ztra ) & |
---|
| 201 | & / e3t(ji,jj,jk,Krhs) * tmask(ji,jj,jk) |
---|
[12377] | 202 | END_3D |
---|
[11407] | 203 | |
---|
| 204 | IF ( ll_zAimp ) THEN |
---|
| 205 | CALL tridia_solver( zwdia, zwsup, zwinf, zwi, zwi , 0 ) |
---|
| 206 | ! |
---|
[11411] | 207 | ztw(:,:,1) = 0._wp ; ztw(:,:,jpk) = 0._wp ; |
---|
[13295] | 208 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 209 | zfp_wk = wi(ji,jj,jk) + ABS( wi(ji,jj,jk) ) |
---|
| 210 | zfm_wk = wi(ji,jj,jk) - ABS( wi(ji,jj,jk) ) |
---|
| 211 | ztw(ji,jj,jk) = 0.5 * e1e2t(ji,jj) * ( zfp_wk * zwi(ji,jj,jk) + zfm_wk * zwi(ji,jj,jk-1) ) * wmask(ji,jj,jk) |
---|
| 212 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + ztw(ji,jj,jk) ! update vertical fluxes |
---|
| 213 | END_3D |
---|
[13295] | 214 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 215 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) & |
---|
| 216 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
---|
| 217 | END_3D |
---|
[11407] | 218 | ! |
---|
| 219 | END IF |
---|
[5770] | 220 | ! |
---|
[13516] | 221 | ! TEMP: This change not necessary after trd_tra is tiled |
---|
[7646] | 222 | IF( l_trd .OR. l_hst ) THEN ! trend diagnostics (contribution of upstream fluxes) |
---|
[13516] | 223 | DO_3D( 1, 0, 1, 0, 1, jpk ) |
---|
| 224 | ztrdx(ji,jj,jk) = zwx(ji,jj,jk) ; ztrdy(ji,jj,jk) = zwy(ji,jj,jk) ; ztrdz(ji,jj,jk) = zwz(ji,jj,jk) |
---|
| 225 | END_3D |
---|
[2528] | 226 | END IF |
---|
[5770] | 227 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
[9019] | 228 | IF( l_ptr ) zptry(:,:,:) = zwy(:,:,:) |
---|
[5770] | 229 | ! |
---|
| 230 | ! !== anti-diffusive flux : high order minus low order ==! |
---|
| 231 | ! |
---|
[6140] | 232 | SELECT CASE( kn_fct_h ) !* horizontal anti-diffusive fluxes |
---|
[5770] | 233 | ! |
---|
[6140] | 234 | CASE( 2 ) !- 2nd order centered |
---|
[13295] | 235 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
---|
[12377] | 236 | zwx(ji,jj,jk) = 0.5_wp * pU(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj,jk,jn,Kmm) ) - zwx(ji,jj,jk) |
---|
| 237 | zwy(ji,jj,jk) = 0.5_wp * pV(ji,jj,jk) * ( pt(ji,jj,jk,jn,Kmm) + pt(ji,jj+1,jk,jn,Kmm) ) - zwy(ji,jj,jk) |
---|
| 238 | END_3D |
---|
[5770] | 239 | ! |
---|
[6140] | 240 | CASE( 4 ) !- 4th order centered |
---|
[7753] | 241 | zltu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
---|
| 242 | zltv(:,:,jpk) = 0._wp |
---|
[6140] | 243 | DO jk = 1, jpkm1 ! Laplacian |
---|
[13295] | 244 | DO_2D( 1, 0, 1, 0 ) |
---|
[12377] | 245 | ztu(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * umask(ji,jj,jk) |
---|
| 246 | ztv(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * vmask(ji,jj,jk) |
---|
| 247 | END_2D |
---|
[13295] | 248 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 249 | zltu(ji,jj,jk) = ( ztu(ji,jj,jk) + ztu(ji-1,jj,jk) ) * r1_6 |
---|
| 250 | zltv(ji,jj,jk) = ( ztv(ji,jj,jk) + ztv(ji,jj-1,jk) ) * r1_6 |
---|
| 251 | END_2D |
---|
[503] | 252 | END DO |
---|
[13226] | 253 | CALL lbc_lnk_multi( 'traadv_fct', zltu, 'T', 1.0_wp , zltv, 'T', 1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
---|
[5770] | 254 | ! |
---|
[13295] | 255 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
---|
[12377] | 256 | zC2t_u = pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj ,jk,jn,Kmm) ! 2 x C2 interpolation of T at u- & v-points |
---|
| 257 | zC2t_v = pt(ji,jj,jk,jn,Kmm) + pt(ji ,jj+1,jk,jn,Kmm) |
---|
| 258 | ! ! C4 minus upstream advective fluxes |
---|
| 259 | zwx(ji,jj,jk) = 0.5_wp * pU(ji,jj,jk) * ( zC2t_u + zltu(ji,jj,jk) - zltu(ji+1,jj,jk) ) - zwx(ji,jj,jk) |
---|
| 260 | zwy(ji,jj,jk) = 0.5_wp * pV(ji,jj,jk) * ( zC2t_v + zltv(ji,jj,jk) - zltv(ji,jj+1,jk) ) - zwy(ji,jj,jk) |
---|
| 261 | END_3D |
---|
[5770] | 262 | ! |
---|
[6140] | 263 | CASE( 41 ) !- 4th order centered ==>> !!gm coding attempt need to be tested |
---|
[7753] | 264 | ztu(:,:,jpk) = 0._wp ! Bottom value : flux set to zero |
---|
| 265 | ztv(:,:,jpk) = 0._wp |
---|
[13295] | 266 | DO_3D( 1, 0, 1, 0, 1, jpkm1 ) |
---|
[12377] | 267 | ztu(ji,jj,jk) = ( pt(ji+1,jj ,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * umask(ji,jj,jk) |
---|
| 268 | ztv(ji,jj,jk) = ( pt(ji ,jj+1,jk,jn,Kmm) - pt(ji,jj,jk,jn,Kmm) ) * vmask(ji,jj,jk) |
---|
| 269 | END_3D |
---|
[13226] | 270 | CALL lbc_lnk_multi( 'traadv_fct', ztu, 'U', -1.0_wp , ztv, 'V', -1.0_wp ) ! Lateral boundary cond. (unchanged sgn) |
---|
[5770] | 271 | ! |
---|
[13295] | 272 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 273 | zC2t_u = pt(ji,jj,jk,jn,Kmm) + pt(ji+1,jj ,jk,jn,Kmm) ! 2 x C2 interpolation of T at u- & v-points (x2) |
---|
| 274 | zC2t_v = pt(ji,jj,jk,jn,Kmm) + pt(ji ,jj+1,jk,jn,Kmm) |
---|
| 275 | ! ! C4 interpolation of T at u- & v-points (x2) |
---|
| 276 | zC4t_u = zC2t_u + r1_6 * ( ztu(ji-1,jj ,jk) - ztu(ji+1,jj ,jk) ) |
---|
| 277 | zC4t_v = zC2t_v + r1_6 * ( ztv(ji ,jj-1,jk) - ztv(ji ,jj+1,jk) ) |
---|
| 278 | ! ! C4 minus upstream advective fluxes |
---|
| 279 | zwx(ji,jj,jk) = 0.5_wp * pU(ji,jj,jk) * zC4t_u - zwx(ji,jj,jk) |
---|
| 280 | zwy(ji,jj,jk) = 0.5_wp * pV(ji,jj,jk) * zC4t_v - zwy(ji,jj,jk) |
---|
| 281 | END_3D |
---|
[5770] | 282 | ! |
---|
| 283 | END SELECT |
---|
[6140] | 284 | ! |
---|
| 285 | SELECT CASE( kn_fct_v ) !* vertical anti-diffusive fluxes (w-masked interior values) |
---|
[5770] | 286 | ! |
---|
[6140] | 287 | CASE( 2 ) !- 2nd order centered |
---|
[13295] | 288 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 289 | zwz(ji,jj,jk) = ( pW(ji,jj,jk) * 0.5_wp * ( pt(ji,jj,jk,jn,Kmm) + pt(ji,jj,jk-1,jn,Kmm) ) & |
---|
| 290 | & - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
| 291 | END_3D |
---|
[5770] | 292 | ! |
---|
[6140] | 293 | CASE( 4 ) !- 4th order COMPACT |
---|
[12377] | 294 | CALL interp_4th_cpt( pt(:,:,:,jn,Kmm) , ztw ) ! zwt = COMPACT interpolation of T at w-point |
---|
[13295] | 295 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 296 | zwz(ji,jj,jk) = ( pW(ji,jj,jk) * ztw(ji,jj,jk) - zwz(ji,jj,jk) ) * wmask(ji,jj,jk) |
---|
| 297 | END_3D |
---|
[5770] | 298 | ! |
---|
| 299 | END SELECT |
---|
[6140] | 300 | IF( ln_linssh ) THEN ! top ocean value: high order = upstream ==>> zwz=0 |
---|
[7753] | 301 | zwz(:,:,1) = 0._wp ! only ocean surface as interior zwz values have been w-masked |
---|
[6140] | 302 | ENDIF |
---|
[11407] | 303 | ! |
---|
| 304 | IF ( ll_zAimp ) THEN |
---|
[13295] | 305 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 306 | ! ! total intermediate advective trends |
---|
| 307 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 308 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 309 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
| 310 | ztw(ji,jj,jk) = zwi(ji,jj,jk) + p2dt * ztra / e3t(ji,jj,jk,Krhs) * tmask(ji,jj,jk) |
---|
| 311 | END_3D |
---|
[11407] | 312 | ! |
---|
[11411] | 313 | CALL tridia_solver( zwdia, zwsup, zwinf, ztw, ztw , 0 ) |
---|
[11407] | 314 | ! |
---|
[13295] | 315 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 316 | zfp_wk = wi(ji,jj,jk) + ABS( wi(ji,jj,jk) ) |
---|
| 317 | zfm_wk = wi(ji,jj,jk) - ABS( wi(ji,jj,jk) ) |
---|
| 318 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + 0.5 * e1e2t(ji,jj) * ( zfp_wk * ztw(ji,jj,jk) + zfm_wk * ztw(ji,jj,jk-1) ) * wmask(ji,jj,jk) |
---|
| 319 | END_3D |
---|
[11407] | 320 | END IF |
---|
[11411] | 321 | ! |
---|
[13226] | 322 | CALL lbc_lnk_multi( 'traadv_fct', zwi, 'T', 1.0_wp, zwx, 'U', -1.0_wp , zwy, 'V', -1.0_wp, zwz, 'W', 1.0_wp ) |
---|
[11411] | 323 | ! |
---|
[5770] | 324 | ! !== monotonicity algorithm ==! |
---|
| 325 | ! |
---|
[12377] | 326 | CALL nonosc( Kmm, pt(:,:,:,jn,Kbb), zwx, zwy, zwz, zwi, p2dt ) |
---|
[6140] | 327 | ! |
---|
[5770] | 328 | ! !== final trend with corrected fluxes ==! |
---|
| 329 | ! |
---|
[13295] | 330 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 331 | ztra = - ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 332 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) & |
---|
| 333 | & + zwz(ji,jj,jk) - zwz(ji ,jj ,jk+1) ) * r1_e1e2t(ji,jj) |
---|
| 334 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) + ztra / e3t(ji,jj,jk,Kmm) |
---|
| 335 | zwi(ji,jj,jk) = zwi(ji,jj,jk) + p2dt * ztra / e3t(ji,jj,jk,Krhs) * tmask(ji,jj,jk) |
---|
| 336 | END_3D |
---|
[5770] | 337 | ! |
---|
[11407] | 338 | IF ( ll_zAimp ) THEN |
---|
| 339 | ! |
---|
[11411] | 340 | ztw(:,:,1) = 0._wp ; ztw(:,:,jpk) = 0._wp |
---|
[13295] | 341 | DO_3D( 0, 0, 0, 0, 2, jpkm1 ) |
---|
[12377] | 342 | zfp_wk = wi(ji,jj,jk) + ABS( wi(ji,jj,jk) ) |
---|
| 343 | zfm_wk = wi(ji,jj,jk) - ABS( wi(ji,jj,jk) ) |
---|
| 344 | ztw(ji,jj,jk) = - 0.5 * e1e2t(ji,jj) * ( zfp_wk * zwi(ji,jj,jk) + zfm_wk * zwi(ji,jj,jk-1) ) * wmask(ji,jj,jk) |
---|
| 345 | zwz(ji,jj,jk) = zwz(ji,jj,jk) + ztw(ji,jj,jk) ! Update vertical fluxes for trend diagnostic |
---|
| 346 | END_3D |
---|
[13295] | 347 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 348 | pt(ji,jj,jk,jn,Krhs) = pt(ji,jj,jk,jn,Krhs) - ( ztw(ji,jj,jk) - ztw(ji ,jj ,jk+1) ) & |
---|
| 349 | & * r1_e1e2t(ji,jj) / e3t(ji,jj,jk,Kmm) |
---|
| 350 | END_3D |
---|
[11407] | 351 | END IF |
---|
| 352 | ! |
---|
[13516] | 353 | ! TEMP: These changes not necessary after trd_tra is tiled |
---|
[9019] | 354 | IF( l_trd .OR. l_hst ) THEN ! trend diagnostics // heat/salt transport |
---|
[13516] | 355 | DO_3D( 1, 0, 1, 0, 1, jpk ) |
---|
| 356 | ztrdx(ji,jj,jk) = ztrdx(ji,jj,jk) + zwx(ji,jj,jk) ! <<< add anti-diffusive fluxes |
---|
| 357 | ztrdy(ji,jj,jk) = ztrdy(ji,jj,jk) + zwy(ji,jj,jk) ! to upstream fluxes |
---|
| 358 | ztrdz(ji,jj,jk) = ztrdz(ji,jj,jk) + zwz(ji,jj,jk) ! |
---|
| 359 | END_3D |
---|
[5770] | 360 | ! |
---|
[13516] | 361 | IF( ntile == 0 .OR. ntile == nijtile ) THEN ! Do only for the full domain |
---|
| 362 | IF( l_trd ) THEN ! trend diagnostics |
---|
| 363 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = 0 ) ! Use full domain |
---|
| 364 | |
---|
| 365 | ! TODO: TO BE TILED- trd_tra |
---|
| 366 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_xad, ztrdx, pU, pt(:,:,:,jn,Kmm) ) |
---|
| 367 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_yad, ztrdy, pV, pt(:,:,:,jn,Kmm) ) |
---|
| 368 | CALL trd_tra( kt, Kmm, Krhs, cdtype, jn, jptra_zad, ztrdz, pW, pt(:,:,:,jn,Kmm) ) |
---|
| 369 | |
---|
| 370 | IF( ln_tile ) CALL dom_tile( ntsi, ntsj, ntei, ntej, ktile = itile ) ! Revert to tile domain |
---|
| 371 | ENDIF |
---|
[9019] | 372 | ENDIF |
---|
| 373 | ! ! heat/salt transport |
---|
[13516] | 374 | IF( l_hst ) CALL dia_ar5_hst( jn, 'adv', ztrdx(ST_2D(nn_hls),:), ztrdy(ST_2D(nn_hls),:) ) |
---|
[5770] | 375 | ! |
---|
[9019] | 376 | ENDIF |
---|
| 377 | IF( l_ptr ) THEN ! "Poleward" transports |
---|
| 378 | zptry(:,:,:) = zptry(:,:,:) + zwy(:,:,:) ! <<< add anti-diffusive fluxes |
---|
[7646] | 379 | CALL dia_ptr_hst( jn, 'adv', zptry(:,:,:) ) |
---|
[2528] | 380 | ENDIF |
---|
[503] | 381 | ! |
---|
[6140] | 382 | END DO ! end of tracer loop |
---|
[503] | 383 | ! |
---|
[11407] | 384 | IF ( ll_zAimp ) THEN |
---|
| 385 | DEALLOCATE( zwdia, zwinf, zwsup ) |
---|
| 386 | ENDIF |
---|
[13516] | 387 | ! TEMP: These changes not necessary after trd_tra is tiled |
---|
| 388 | ! IF( l_trd .OR. l_hst ) THEN |
---|
| 389 | ! DEALLOCATE( ztrdx, ztrdy, ztrdz ) |
---|
| 390 | ! ENDIF |
---|
[10024] | 391 | IF( l_ptr ) THEN |
---|
| 392 | DEALLOCATE( zptry ) |
---|
| 393 | ENDIF |
---|
| 394 | ! |
---|
[5770] | 395 | END SUBROUTINE tra_adv_fct |
---|
[3] | 396 | |
---|
[5737] | 397 | |
---|
[12377] | 398 | SUBROUTINE nonosc( Kmm, pbef, paa, pbb, pcc, paft, p2dt ) |
---|
[3] | 399 | !!--------------------------------------------------------------------- |
---|
| 400 | !! *** ROUTINE nonosc *** |
---|
| 401 | !! |
---|
| 402 | !! ** Purpose : compute monotonic tracer fluxes from the upstream |
---|
| 403 | !! scheme and the before field by a nonoscillatory algorithm |
---|
| 404 | !! |
---|
| 405 | !! ** Method : ... ??? |
---|
| 406 | !! warning : pbef and paft must be masked, but the boundaries |
---|
| 407 | !! conditions on the fluxes are not necessary zalezak (1979) |
---|
| 408 | !! drange (1995) multi-dimensional forward-in-time and upstream- |
---|
| 409 | !! in-space based differencing for fluid |
---|
| 410 | !!---------------------------------------------------------------------- |
---|
[13516] | 411 | INTEGER , INTENT(in ) :: Kmm ! time level index |
---|
| 412 | REAL(wp) , INTENT(in ) :: p2dt ! tracer time-step |
---|
| 413 | REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pbef ! before field |
---|
| 414 | REAL(wp), DIMENSION(ST_2D(nn_hls) ,jpk), INTENT(in ) :: paft ! after field |
---|
| 415 | REAL(wp), DIMENSION(ST_2D(nn_hls) ,jpk), INTENT(inout) :: paa, pbb, pcc ! monotonic fluxes in the 3 directions |
---|
[2715] | 416 | ! |
---|
[4990] | 417 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 418 | INTEGER :: ikm1 ! local integer |
---|
[13226] | 419 | REAL(dp) :: zpos, zneg, zbt, za, zb, zc, zbig, zrtrn ! local scalars |
---|
| 420 | REAL(dp) :: zau, zbu, zcu, zav, zbv, zcv, zup, zdo ! - - |
---|
[13516] | 421 | REAL(dp), DIMENSION(ST_2D(nn_hls),jpk) :: zbetup, zbetdo, zbup, zbdo |
---|
[3] | 422 | !!---------------------------------------------------------------------- |
---|
[3294] | 423 | ! |
---|
[13226] | 424 | zbig = 1.e+40_dp |
---|
| 425 | zrtrn = 1.e-15_dp |
---|
| 426 | zbetup(:,:,:) = 0._dp ; zbetdo(:,:,:) = 0._dp |
---|
[785] | 427 | |
---|
[3] | 428 | ! Search local extrema |
---|
| 429 | ! -------------------- |
---|
[785] | 430 | ! max/min of pbef & paft with large negative/positive value (-/+zbig) inside land |
---|
[13516] | 431 | DO_3D( 1, 1, 1, 1, 1, jpk ) |
---|
| 432 | zbup(ji,jj,jk) = MAX( pbef(ji,jj,jk) * tmask(ji,jj,jk) - zbig * ( 1._wp - tmask(ji,jj,jk) ), & |
---|
| 433 | & paft(ji,jj,jk) * tmask(ji,jj,jk) - zbig * ( 1._wp - tmask(ji,jj,jk) ) ) |
---|
| 434 | zbdo(ji,jj,jk) = MIN( pbef(ji,jj,jk) * tmask(ji,jj,jk) + zbig * ( 1._wp - tmask(ji,jj,jk) ), & |
---|
| 435 | & paft(ji,jj,jk) * tmask(ji,jj,jk) + zbig * ( 1._wp - tmask(ji,jj,jk) ) ) |
---|
| 436 | END_3D |
---|
[785] | 437 | |
---|
[5120] | 438 | DO jk = 1, jpkm1 |
---|
| 439 | ikm1 = MAX(jk-1,1) |
---|
[13295] | 440 | DO_2D( 0, 0, 0, 0 ) |
---|
[5120] | 441 | |
---|
[12377] | 442 | ! search maximum in neighbourhood |
---|
| 443 | zup = MAX( zbup(ji ,jj ,jk ), & |
---|
| 444 | & zbup(ji-1,jj ,jk ), zbup(ji+1,jj ,jk ), & |
---|
| 445 | & zbup(ji ,jj-1,jk ), zbup(ji ,jj+1,jk ), & |
---|
| 446 | & zbup(ji ,jj ,ikm1), zbup(ji ,jj ,jk+1) ) |
---|
[3] | 447 | |
---|
[12377] | 448 | ! search minimum in neighbourhood |
---|
| 449 | zdo = MIN( zbdo(ji ,jj ,jk ), & |
---|
| 450 | & zbdo(ji-1,jj ,jk ), zbdo(ji+1,jj ,jk ), & |
---|
| 451 | & zbdo(ji ,jj-1,jk ), zbdo(ji ,jj+1,jk ), & |
---|
| 452 | & zbdo(ji ,jj ,ikm1), zbdo(ji ,jj ,jk+1) ) |
---|
[3] | 453 | |
---|
[12377] | 454 | ! positive part of the flux |
---|
| 455 | zpos = MAX( 0., paa(ji-1,jj ,jk ) ) - MIN( 0., paa(ji ,jj ,jk ) ) & |
---|
| 456 | & + MAX( 0., pbb(ji ,jj-1,jk ) ) - MIN( 0., pbb(ji ,jj ,jk ) ) & |
---|
| 457 | & + MAX( 0., pcc(ji ,jj ,jk+1) ) - MIN( 0., pcc(ji ,jj ,jk ) ) |
---|
[785] | 458 | |
---|
[12377] | 459 | ! negative part of the flux |
---|
| 460 | zneg = MAX( 0., paa(ji ,jj ,jk ) ) - MIN( 0., paa(ji-1,jj ,jk ) ) & |
---|
| 461 | & + MAX( 0., pbb(ji ,jj ,jk ) ) - MIN( 0., pbb(ji ,jj-1,jk ) ) & |
---|
| 462 | & + MAX( 0., pcc(ji ,jj ,jk ) ) - MIN( 0., pcc(ji ,jj ,jk+1) ) |
---|
[785] | 463 | |
---|
[12377] | 464 | ! up & down beta terms |
---|
| 465 | zbt = e1e2t(ji,jj) * e3t(ji,jj,jk,Kmm) / p2dt |
---|
| 466 | zbetup(ji,jj,jk) = ( zup - paft(ji,jj,jk) ) / ( zpos + zrtrn ) * zbt |
---|
| 467 | zbetdo(ji,jj,jk) = ( paft(ji,jj,jk) - zdo ) / ( zneg + zrtrn ) * zbt |
---|
| 468 | END_2D |
---|
[3] | 469 | END DO |
---|
[13226] | 470 | CALL lbc_lnk_multi( 'traadv_fct', zbetup, 'T', 1.0_wp , zbetdo, 'T', 1.0_wp ) ! lateral boundary cond. (unchanged sign) |
---|
[3] | 471 | |
---|
[237] | 472 | ! 3. monotonic flux in the i & j direction (paa & pbb) |
---|
| 473 | ! ---------------------------------------- |
---|
[13295] | 474 | DO_3D( 0, 0, 0, 0, 1, jpkm1 ) |
---|
[12377] | 475 | zau = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji+1,jj,jk) ) |
---|
| 476 | zbu = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji+1,jj,jk) ) |
---|
[13226] | 477 | zcu = ( 0.5 + SIGN( 0.5_wp , paa(ji,jj,jk) ) ) |
---|
[12377] | 478 | paa(ji,jj,jk) = paa(ji,jj,jk) * ( zcu * zau + ( 1._wp - zcu) * zbu ) |
---|
[3] | 479 | |
---|
[12377] | 480 | zav = MIN( 1._wp, zbetdo(ji,jj,jk), zbetup(ji,jj+1,jk) ) |
---|
| 481 | zbv = MIN( 1._wp, zbetup(ji,jj,jk), zbetdo(ji,jj+1,jk) ) |
---|
[13226] | 482 | zcv = ( 0.5 + SIGN( 0.5_wp , pbb(ji,jj,jk) ) ) |
---|
[12377] | 483 | pbb(ji,jj,jk) = pbb(ji,jj,jk) * ( zcv * zav + ( 1._wp - zcv) * zbv ) |
---|
[3] | 484 | |
---|
[12377] | 485 | ! monotonic flux in the k direction, i.e. pcc |
---|
| 486 | ! ------------------------------------------- |
---|
| 487 | za = MIN( 1., zbetdo(ji,jj,jk+1), zbetup(ji,jj,jk) ) |
---|
| 488 | zb = MIN( 1., zbetup(ji,jj,jk+1), zbetdo(ji,jj,jk) ) |
---|
[13226] | 489 | zc = ( 0.5 + SIGN( 0.5_wp , pcc(ji,jj,jk+1) ) ) |
---|
[12377] | 490 | pcc(ji,jj,jk+1) = pcc(ji,jj,jk+1) * ( zc * za + ( 1._wp - zc) * zb ) |
---|
| 491 | END_3D |
---|
[13226] | 492 | CALL lbc_lnk_multi( 'traadv_fct', paa, 'U', -1.0_wp , pbb, 'V', -1.0_wp ) ! lateral boundary condition (changed sign) |
---|
[503] | 493 | ! |
---|
[3] | 494 | END SUBROUTINE nonosc |
---|
| 495 | |
---|
[5770] | 496 | |
---|
[7646] | 497 | SUBROUTINE interp_4th_cpt_org( pt_in, pt_out ) |
---|
[5770] | 498 | !!---------------------------------------------------------------------- |
---|
[7646] | 499 | !! *** ROUTINE interp_4th_cpt_org *** |
---|
[5770] | 500 | !! |
---|
| 501 | !! ** Purpose : Compute the interpolation of tracer at w-point |
---|
| 502 | !! |
---|
| 503 | !! ** Method : 4th order compact interpolation |
---|
| 504 | !!---------------------------------------------------------------------- |
---|
| 505 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! now tracer fields |
---|
| 506 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT( out) :: pt_out ! now tracer field interpolated at w-pts |
---|
| 507 | ! |
---|
| 508 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 509 | REAL(wp),DIMENSION(jpi,jpj,jpk) :: zwd, zwi, zws, zwrm, zwt |
---|
| 510 | !!---------------------------------------------------------------------- |
---|
| 511 | |
---|
[13295] | 512 | DO_3D( 1, 1, 1, 1, 3, jpkm1 ) |
---|
[12377] | 513 | zwd (ji,jj,jk) = 4._wp |
---|
| 514 | zwi (ji,jj,jk) = 1._wp |
---|
| 515 | zws (ji,jj,jk) = 1._wp |
---|
| 516 | zwrm(ji,jj,jk) = 3._wp * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 517 | ! |
---|
| 518 | IF( tmask(ji,jj,jk+1) == 0._wp) THEN ! Switch to second order centered at bottom |
---|
[5770] | 519 | zwd (ji,jj,jk) = 1._wp |
---|
| 520 | zwi (ji,jj,jk) = 0._wp |
---|
| 521 | zws (ji,jj,jk) = 0._wp |
---|
[12377] | 522 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 523 | ENDIF |
---|
| 524 | END_3D |
---|
[5770] | 525 | ! |
---|
[12377] | 526 | jk = 2 ! Switch to second order centered at top |
---|
[13295] | 527 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 528 | zwd (ji,jj,jk) = 1._wp |
---|
| 529 | zwi (ji,jj,jk) = 0._wp |
---|
| 530 | zws (ji,jj,jk) = 0._wp |
---|
| 531 | zwrm(ji,jj,jk) = 0.5 * ( pt_in(ji,jj,jk-1) + pt_in(ji,jj,jk) ) |
---|
| 532 | END_2D |
---|
| 533 | ! |
---|
[5770] | 534 | ! !== tridiagonal solve ==! |
---|
[13295] | 535 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 536 | zwt(ji,jj,2) = zwd(ji,jj,2) |
---|
| 537 | END_2D |
---|
[13295] | 538 | DO_3D( 1, 1, 1, 1, 3, jpkm1 ) |
---|
[12377] | 539 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 540 | END_3D |
---|
[5770] | 541 | ! |
---|
[13295] | 542 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 543 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
---|
| 544 | END_2D |
---|
[13295] | 545 | DO_3D( 1, 1, 1, 1, 3, jpkm1 ) |
---|
[12377] | 546 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 547 | END_3D |
---|
[5770] | 548 | |
---|
[13295] | 549 | DO_2D( 1, 1, 1, 1 ) |
---|
[12377] | 550 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 551 | END_2D |
---|
[13295] | 552 | DO_3DS( 1, 1, 1, 1, jpk-2, 2, -1 ) |
---|
[12377] | 553 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 554 | END_3D |
---|
[5770] | 555 | ! |
---|
[7646] | 556 | END SUBROUTINE interp_4th_cpt_org |
---|
| 557 | |
---|
| 558 | |
---|
| 559 | SUBROUTINE interp_4th_cpt( pt_in, pt_out ) |
---|
| 560 | !!---------------------------------------------------------------------- |
---|
| 561 | !! *** ROUTINE interp_4th_cpt *** |
---|
| 562 | !! |
---|
| 563 | !! ** Purpose : Compute the interpolation of tracer at w-point |
---|
| 564 | !! |
---|
| 565 | !! ** Method : 4th order compact interpolation |
---|
| 566 | !!---------------------------------------------------------------------- |
---|
| 567 | REAL(wp),DIMENSION(jpi,jpj,jpk), INTENT(in ) :: pt_in ! field at t-point |
---|
[13516] | 568 | REAL(wp),DIMENSION(ST_2D(nn_hls) ,jpk), INTENT( out) :: pt_out ! field interpolated at w-point |
---|
[7646] | 569 | ! |
---|
| 570 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 571 | INTEGER :: ikt, ikb ! local integers |
---|
[13516] | 572 | REAL(wp),DIMENSION(ST_2D(nn_hls),jpk) :: zwd, zwi, zws, zwrm, zwt |
---|
[7646] | 573 | !!---------------------------------------------------------------------- |
---|
| 574 | ! |
---|
| 575 | ! !== build the three diagonal matrix & the RHS ==! |
---|
| 576 | ! |
---|
[13295] | 577 | DO_3D( 0, 0, 0, 0, 3, jpkm1 ) |
---|
[12377] | 578 | zwd (ji,jj,jk) = 3._wp * wmask(ji,jj,jk) + 1._wp ! diagonal |
---|
| 579 | zwi (ji,jj,jk) = wmask(ji,jj,jk) ! lower diagonal |
---|
| 580 | zws (ji,jj,jk) = wmask(ji,jj,jk) ! upper diagonal |
---|
| 581 | zwrm(ji,jj,jk) = 3._wp * wmask(ji,jj,jk) & ! RHS |
---|
| 582 | & * ( pt_in(ji,jj,jk) + pt_in(ji,jj,jk-1) ) |
---|
| 583 | END_3D |
---|
[7646] | 584 | ! |
---|
| 585 | !!gm |
---|
| 586 | ! SELECT CASE( kbc ) !* boundary condition |
---|
| 587 | ! CASE( np_NH ) ! Neumann homogeneous at top & bottom |
---|
| 588 | ! CASE( np_CEN2 ) ! 2nd order centered at top & bottom |
---|
| 589 | ! END SELECT |
---|
| 590 | !!gm |
---|
| 591 | ! |
---|
[13516] | 592 | ! TODO: NOT TESTED- requires isf |
---|
[9901] | 593 | IF ( ln_isfcav ) THEN ! set level two values which may not be set in ISF case |
---|
| 594 | zwd(:,:,2) = 1._wp ; zwi(:,:,2) = 0._wp ; zws(:,:,2) = 0._wp ; zwrm(:,:,2) = 0._wp |
---|
| 595 | END IF |
---|
| 596 | ! |
---|
[13295] | 597 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 598 | ikt = mikt(ji,jj) + 1 ! w-point below the 1st wet point |
---|
| 599 | ikb = MAX(mbkt(ji,jj), 2) ! - above the last wet point |
---|
| 600 | ! |
---|
| 601 | zwd (ji,jj,ikt) = 1._wp ! top |
---|
| 602 | zwi (ji,jj,ikt) = 0._wp |
---|
| 603 | zws (ji,jj,ikt) = 0._wp |
---|
| 604 | zwrm(ji,jj,ikt) = 0.5_wp * ( pt_in(ji,jj,ikt-1) + pt_in(ji,jj,ikt) ) |
---|
| 605 | ! |
---|
| 606 | zwd (ji,jj,ikb) = 1._wp ! bottom |
---|
| 607 | zwi (ji,jj,ikb) = 0._wp |
---|
| 608 | zws (ji,jj,ikb) = 0._wp |
---|
| 609 | zwrm(ji,jj,ikb) = 0.5_wp * ( pt_in(ji,jj,ikb-1) + pt_in(ji,jj,ikb) ) |
---|
| 610 | END_2D |
---|
[7646] | 611 | ! |
---|
| 612 | ! !== tridiagonal solver ==! |
---|
| 613 | ! |
---|
[13295] | 614 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 615 | zwt(ji,jj,2) = zwd(ji,jj,2) |
---|
| 616 | END_2D |
---|
[13295] | 617 | DO_3D( 0, 0, 0, 0, 3, jpkm1 ) |
---|
[12377] | 618 | zwt(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 619 | END_3D |
---|
[7646] | 620 | ! |
---|
[13295] | 621 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 622 | pt_out(ji,jj,2) = zwrm(ji,jj,2) |
---|
| 623 | END_2D |
---|
[13295] | 624 | DO_3D( 0, 0, 0, 0, 3, jpkm1 ) |
---|
[12377] | 625 | pt_out(ji,jj,jk) = zwrm(ji,jj,jk) - zwi(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 626 | END_3D |
---|
[7646] | 627 | |
---|
[13295] | 628 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 629 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 630 | END_2D |
---|
[13295] | 631 | DO_3DS( 0, 0, 0, 0, jpk-2, 2, -1 ) |
---|
[12377] | 632 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - zws(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 633 | END_3D |
---|
[7646] | 634 | ! |
---|
[5770] | 635 | END SUBROUTINE interp_4th_cpt |
---|
[7646] | 636 | |
---|
| 637 | |
---|
| 638 | SUBROUTINE tridia_solver( pD, pU, pL, pRHS, pt_out , klev ) |
---|
| 639 | !!---------------------------------------------------------------------- |
---|
| 640 | !! *** ROUTINE tridia_solver *** |
---|
| 641 | !! |
---|
| 642 | !! ** Purpose : solve a symmetric 3diagonal system |
---|
| 643 | !! |
---|
| 644 | !! ** Method : solve M.t_out = RHS(t) where M is a tri diagonal matrix ( jpk*jpk ) |
---|
| 645 | !! |
---|
| 646 | !! ( D_1 U_1 0 0 0 )( t_1 ) ( RHS_1 ) |
---|
| 647 | !! ( L_2 D_2 U_2 0 0 )( t_2 ) ( RHS_2 ) |
---|
| 648 | !! ( 0 L_3 D_3 U_3 0 )( t_3 ) = ( RHS_3 ) |
---|
| 649 | !! ( ... )( ... ) ( ... ) |
---|
| 650 | !! ( 0 0 0 L_k D_k )( t_k ) ( RHS_k ) |
---|
| 651 | !! |
---|
| 652 | !! M is decomposed in the product of an upper and lower triangular matrix. |
---|
| 653 | !! The tri-diagonals matrix is given as input 3D arrays: pD, pU, pL |
---|
| 654 | !! (i.e. the Diagonal, the Upper diagonal, and the Lower diagonal). |
---|
| 655 | !! The solution is pta. |
---|
| 656 | !! The 3d array zwt is used as a work space array. |
---|
| 657 | !!---------------------------------------------------------------------- |
---|
[13516] | 658 | REAL(wp),DIMENSION(ST_2D(nn_hls),jpk), INTENT(in ) :: pD, pU, PL ! 3-diagonal matrix |
---|
| 659 | REAL(wp),DIMENSION(ST_2D(nn_hls),jpk), INTENT(in ) :: pRHS ! Right-Hand-Side |
---|
| 660 | REAL(wp),DIMENSION(ST_2D(nn_hls),jpk), INTENT( out) :: pt_out !!gm field at level=F(klev) |
---|
| 661 | INTEGER , INTENT(in ) :: klev ! =1 pt_out at w-level |
---|
| 662 | ! ! =0 pt at t-level |
---|
[7646] | 663 | INTEGER :: ji, jj, jk ! dummy loop integers |
---|
| 664 | INTEGER :: kstart ! local indices |
---|
[13516] | 665 | REAL(wp),DIMENSION(ST_2D(nn_hls),jpk) :: zwt ! 3D work array |
---|
[7646] | 666 | !!---------------------------------------------------------------------- |
---|
| 667 | ! |
---|
| 668 | kstart = 1 + klev |
---|
| 669 | ! |
---|
[13295] | 670 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 671 | zwt(ji,jj,kstart) = pD(ji,jj,kstart) |
---|
| 672 | END_2D |
---|
[13295] | 673 | DO_3D( 0, 0, 0, 0, kstart+1, jpkm1 ) |
---|
[12377] | 674 | zwt(ji,jj,jk) = pD(ji,jj,jk) - pL(ji,jj,jk) * pU(ji,jj,jk-1) /zwt(ji,jj,jk-1) |
---|
| 675 | END_3D |
---|
[7646] | 676 | ! |
---|
[13295] | 677 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 678 | pt_out(ji,jj,kstart) = pRHS(ji,jj,kstart) |
---|
| 679 | END_2D |
---|
[13295] | 680 | DO_3D( 0, 0, 0, 0, kstart+1, jpkm1 ) |
---|
[12377] | 681 | pt_out(ji,jj,jk) = pRHS(ji,jj,jk) - pL(ji,jj,jk) / zwt(ji,jj,jk-1) *pt_out(ji,jj,jk-1) |
---|
| 682 | END_3D |
---|
[7646] | 683 | |
---|
[13295] | 684 | DO_2D( 0, 0, 0, 0 ) |
---|
[12377] | 685 | pt_out(ji,jj,jpkm1) = pt_out(ji,jj,jpkm1) / zwt(ji,jj,jpkm1) |
---|
| 686 | END_2D |
---|
[13295] | 687 | DO_3DS( 0, 0, 0, 0, jpk-2, kstart, -1 ) |
---|
[12377] | 688 | pt_out(ji,jj,jk) = ( pt_out(ji,jj,jk) - pU(ji,jj,jk) * pt_out(ji,jj,jk+1) ) / zwt(ji,jj,jk) |
---|
| 689 | END_3D |
---|
[7646] | 690 | ! |
---|
| 691 | END SUBROUTINE tridia_solver |
---|
| 692 | |
---|
[3] | 693 | !!====================================================================== |
---|
[5770] | 694 | END MODULE traadv_fct |
---|