[3] | 1 | MODULE traadv_muscl |
---|
[503] | 2 | !!====================================================================== |
---|
[3] | 3 | !! *** MODULE traadv_muscl *** |
---|
[2528] | 4 | !! Ocean tracers: horizontal & vertical advective trend |
---|
[503] | 5 | !!====================================================================== |
---|
[2528] | 6 | !! History : ! 2000-06 (A.Estublier) for passive tracers |
---|
| 7 | !! ! 2001-08 (E.Durand, G.Madec) adapted for T & S |
---|
| 8 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
---|
| 9 | !! 3.2 ! 2010-05 (C. Ethe, G. Madec) merge TRC-TRA + switch from velocity to transport |
---|
[503] | 10 | !!---------------------------------------------------------------------- |
---|
[3] | 11 | |
---|
| 12 | !!---------------------------------------------------------------------- |
---|
| 13 | !! tra_adv_muscl : update the tracer trend with the horizontal |
---|
| 14 | !! and vertical advection trends using MUSCL scheme |
---|
| 15 | !!---------------------------------------------------------------------- |
---|
[3625] | 16 | USE oce ! ocean dynamics and active tracers |
---|
| 17 | USE dom_oce ! ocean space and time domain |
---|
| 18 | USE trdmod_oce ! tracers trends |
---|
| 19 | USE trdtra ! tracers trends |
---|
| 20 | USE in_out_manager ! I/O manager |
---|
| 21 | USE dynspg_oce ! choice/control of key cpp for surface pressure gradient |
---|
| 22 | USE trabbl ! tracers: bottom boundary layer |
---|
| 23 | USE lib_mpp ! distribued memory computing |
---|
| 24 | USE lbclnk ! ocean lateral boundary condition (or mpp link) |
---|
| 25 | USE diaptr ! poleward transport diagnostics |
---|
| 26 | USE trc_oce ! share passive tracers/Ocean variables |
---|
| 27 | USE wrk_nemo ! Memory Allocation |
---|
| 28 | USE timing ! Timing |
---|
| 29 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
[3] | 30 | |
---|
| 31 | IMPLICIT NONE |
---|
| 32 | PRIVATE |
---|
| 33 | |
---|
[503] | 34 | PUBLIC tra_adv_muscl ! routine called by step.F90 |
---|
[3] | 35 | |
---|
[2528] | 36 | LOGICAL :: l_trd ! flag to compute trends |
---|
| 37 | |
---|
[3] | 38 | !! * Substitutions |
---|
| 39 | # include "domzgr_substitute.h90" |
---|
| 40 | # include "vectopt_loop_substitute.h90" |
---|
| 41 | !!---------------------------------------------------------------------- |
---|
[2528] | 42 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
[1152] | 43 | !! $Id$ |
---|
[2528] | 44 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 45 | !!---------------------------------------------------------------------- |
---|
| 46 | CONTAINS |
---|
| 47 | |
---|
[3294] | 48 | SUBROUTINE tra_adv_muscl( kt, kit000, cdtype, p2dt, pun, pvn, pwn, & |
---|
[2528] | 49 | & ptb, pta, kjpt ) |
---|
[3] | 50 | !!---------------------------------------------------------------------- |
---|
| 51 | !! *** ROUTINE tra_adv_muscl *** |
---|
[216] | 52 | !! |
---|
[3] | 53 | !! ** Purpose : Compute the now trend due to total advection of T and |
---|
| 54 | !! S using a MUSCL scheme (Monotone Upstream-centered Scheme for |
---|
| 55 | !! Conservation Laws) and add it to the general tracer trend. |
---|
| 56 | !! |
---|
[216] | 57 | !! ** Method : MUSCL scheme plus centered scheme at ocean boundaries |
---|
[3] | 58 | !! |
---|
| 59 | !! ** Action : - update (ta,sa) with the now advective tracer trends |
---|
[2528] | 60 | !! - save trends |
---|
[3] | 61 | !! |
---|
[503] | 62 | !! References : Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
---|
| 63 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
---|
| 64 | !!---------------------------------------------------------------------- |
---|
[3294] | 65 | USE oce , ONLY: zwx => ua , zwy => va ! (ua,va) used as workspace |
---|
[2715] | 66 | ! |
---|
[2528] | 67 | INTEGER , INTENT(in ) :: kt ! ocean time-step index |
---|
[3294] | 68 | INTEGER , INTENT(in ) :: kit000 ! first time step index |
---|
[2528] | 69 | CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) |
---|
| 70 | INTEGER , INTENT(in ) :: kjpt ! number of tracers |
---|
| 71 | REAL(wp), DIMENSION( jpk ), INTENT(in ) :: p2dt ! vertical profile of tracer time-step |
---|
| 72 | REAL(wp), DIMENSION(jpi,jpj,jpk ), INTENT(in ) :: pun, pvn, pwn ! 3 ocean velocity components |
---|
| 73 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(in ) :: ptb ! before tracer field |
---|
| 74 | REAL(wp), DIMENSION(jpi,jpj,jpk,kjpt), INTENT(inout) :: pta ! tracer trend |
---|
[2715] | 75 | ! |
---|
[2528] | 76 | INTEGER :: ji, jj, jk, jn ! dummy loop indices |
---|
[2715] | 77 | REAL(wp) :: zu, z0u, zzwx, zw ! local scalars |
---|
| 78 | REAL(wp) :: zv, z0v, zzwy, z0w ! - - |
---|
| 79 | REAL(wp) :: ztra, zbtr, zdt, zalpha ! - - |
---|
[3294] | 80 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zslpx, zslpy |
---|
[3] | 81 | !!---------------------------------------------------------------------- |
---|
[3294] | 82 | ! |
---|
| 83 | IF( nn_timing == 1 ) CALL timing_start('tra_adv_muscl') |
---|
| 84 | ! |
---|
| 85 | CALL wrk_alloc( jpi, jpj, jpk, zslpx, zslpy ) |
---|
| 86 | ! |
---|
[3] | 87 | |
---|
[3294] | 88 | IF( kt == kit000 ) THEN |
---|
[2528] | 89 | IF(lwp) WRITE(numout,*) |
---|
| 90 | IF(lwp) WRITE(numout,*) 'tra_adv : MUSCL advection scheme on ', cdtype |
---|
| 91 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
---|
| 92 | ! |
---|
| 93 | l_trd = .FALSE. |
---|
| 94 | IF( ( cdtype == 'TRA' .AND. l_trdtra ) .OR. ( cdtype == 'TRC' .AND. l_trdtrc ) ) l_trd = .TRUE. |
---|
[3] | 95 | ENDIF |
---|
| 96 | |
---|
[2528] | 97 | ! ! =========== |
---|
| 98 | DO jn = 1, kjpt ! tracer loop |
---|
| 99 | ! ! =========== |
---|
| 100 | ! I. Horizontal advective fluxes |
---|
| 101 | ! ------------------------------ |
---|
| 102 | ! first guess of the slopes |
---|
| 103 | zwx(:,:,jpk) = 0.e0 ; zwy(:,:,jpk) = 0.e0 ! bottom values |
---|
| 104 | ! interior values |
---|
| 105 | DO jk = 1, jpkm1 |
---|
| 106 | DO jj = 1, jpjm1 |
---|
| 107 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 108 | zwx(ji,jj,jk) = umask(ji,jj,jk) * ( ptb(ji+1,jj,jk,jn) - ptb(ji,jj,jk,jn) ) |
---|
| 109 | zwy(ji,jj,jk) = vmask(ji,jj,jk) * ( ptb(ji,jj+1,jk,jn) - ptb(ji,jj,jk,jn) ) |
---|
| 110 | END DO |
---|
| 111 | END DO |
---|
[3] | 112 | END DO |
---|
[2528] | 113 | ! |
---|
| 114 | CALL lbc_lnk( zwx, 'U', -1. ) ! lateral boundary conditions on zwx, zwy (changed sign) |
---|
| 115 | CALL lbc_lnk( zwy, 'V', -1. ) |
---|
| 116 | ! !-- Slopes of tracer |
---|
| 117 | zslpx(:,:,jpk) = 0.e0 ; zslpy(:,:,jpk) = 0.e0 ! bottom values |
---|
| 118 | DO jk = 1, jpkm1 ! interior values |
---|
| 119 | DO jj = 2, jpj |
---|
| 120 | DO ji = fs_2, jpi ! vector opt. |
---|
| 121 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji-1,jj ,jk) ) & |
---|
| 122 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji-1,jj ,jk) ) ) |
---|
| 123 | zslpy(ji,jj,jk) = ( zwy(ji,jj,jk) + zwy(ji ,jj-1,jk) ) & |
---|
| 124 | & * ( 0.25 + SIGN( 0.25, zwy(ji,jj,jk) * zwy(ji ,jj-1,jk) ) ) |
---|
| 125 | END DO |
---|
[3] | 126 | END DO |
---|
| 127 | END DO |
---|
[503] | 128 | ! |
---|
[2528] | 129 | DO jk = 1, jpkm1 ! Slopes limitation |
---|
| 130 | DO jj = 2, jpj |
---|
| 131 | DO ji = fs_2, jpi ! vector opt. |
---|
| 132 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji ,jj,jk) ), & |
---|
| 133 | & 2.*ABS( zwx (ji-1,jj,jk) ), & |
---|
| 134 | & 2.*ABS( zwx (ji ,jj,jk) ) ) |
---|
| 135 | zslpy(ji,jj,jk) = SIGN( 1., zslpy(ji,jj,jk) ) * MIN( ABS( zslpy(ji,jj ,jk) ), & |
---|
| 136 | & 2.*ABS( zwy (ji,jj-1,jk) ), & |
---|
| 137 | & 2.*ABS( zwy (ji,jj ,jk) ) ) |
---|
[503] | 138 | END DO |
---|
[2528] | 139 | END DO |
---|
| 140 | END DO ! interior values |
---|
[216] | 141 | |
---|
[2528] | 142 | ! !-- MUSCL horizontal advective fluxes |
---|
| 143 | DO jk = 1, jpkm1 ! interior values |
---|
| 144 | zdt = p2dt(jk) |
---|
[503] | 145 | DO jj = 2, jpjm1 |
---|
| 146 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 147 | ! MUSCL fluxes |
---|
| 148 | z0u = SIGN( 0.5, pun(ji,jj,jk) ) |
---|
| 149 | zalpha = 0.5 - z0u |
---|
| 150 | zu = z0u - 0.5 * pun(ji,jj,jk) * zdt / ( e1u(ji,jj) * e2u(ji,jj) * fse3u(ji,jj,jk) ) |
---|
| 151 | zzwx = ptb(ji+1,jj,jk,jn) + zu * zslpx(ji+1,jj,jk) |
---|
| 152 | zzwy = ptb(ji ,jj,jk,jn) + zu * zslpx(ji ,jj,jk) |
---|
| 153 | zwx(ji,jj,jk) = pun(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
---|
| 154 | ! |
---|
| 155 | z0v = SIGN( 0.5, pvn(ji,jj,jk) ) |
---|
| 156 | zalpha = 0.5 - z0v |
---|
| 157 | zv = z0v - 0.5 * pvn(ji,jj,jk) * zdt / ( e1v(ji,jj) * e2v(ji,jj) * fse3v(ji,jj,jk) ) |
---|
| 158 | zzwx = ptb(ji,jj+1,jk,jn) + zv * zslpy(ji,jj+1,jk) |
---|
| 159 | zzwy = ptb(ji,jj ,jk,jn) + zv * zslpy(ji,jj ,jk) |
---|
| 160 | zwy(ji,jj,jk) = pvn(ji,jj,jk) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
---|
[503] | 161 | END DO |
---|
| 162 | END DO |
---|
| 163 | END DO |
---|
[2528] | 164 | ! ! lateral boundary conditions on zwx, zwy (changed sign) |
---|
| 165 | CALL lbc_lnk( zwx, 'U', -1. ) ; CALL lbc_lnk( zwy, 'V', -1. ) |
---|
[503] | 166 | ! |
---|
[2528] | 167 | ! Tracer flux divergence at t-point added to the general trend |
---|
| 168 | DO jk = 1, jpkm1 |
---|
| 169 | DO jj = 2, jpjm1 |
---|
| 170 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 171 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 172 | ! horizontal advective trends |
---|
| 173 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji-1,jj ,jk ) & |
---|
| 174 | & + zwy(ji,jj,jk) - zwy(ji ,jj-1,jk ) ) |
---|
| 175 | ! add it to the general tracer trends |
---|
| 176 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
[3] | 177 | END DO |
---|
[2528] | 178 | END DO |
---|
| 179 | END DO |
---|
| 180 | ! ! trend diagnostics (contribution of upstream fluxes) |
---|
| 181 | IF( l_trd ) THEN |
---|
| 182 | CALL trd_tra( kt, cdtype, jn, jptra_trd_xad, zwx, pun, ptb(:,:,:,jn) ) |
---|
| 183 | CALL trd_tra( kt, cdtype, jn, jptra_trd_yad, zwy, pvn, ptb(:,:,:,jn) ) |
---|
| 184 | END IF |
---|
| 185 | ! ! "Poleward" heat and salt transports (contribution of upstream fluxes) |
---|
| 186 | IF( cdtype == 'TRA' .AND. ln_diaptr .AND. ( MOD( kt, nn_fptr ) == 0 ) ) THEN |
---|
| 187 | IF( jn == jp_tem ) htr_adv(:) = ptr_vj( zwy(:,:,:) ) |
---|
| 188 | IF( jn == jp_sal ) str_adv(:) = ptr_vj( zwy(:,:,:) ) |
---|
[457] | 189 | ENDIF |
---|
[3] | 190 | |
---|
[2528] | 191 | ! II. Vertical advective fluxes |
---|
| 192 | ! ----------------------------- |
---|
| 193 | ! !-- first guess of the slopes |
---|
| 194 | zwx (:,:, 1 ) = 0.e0 ; zwx (:,:,jpk) = 0.e0 ! surface & bottom boundary conditions |
---|
| 195 | DO jk = 2, jpkm1 ! interior values |
---|
| 196 | zwx(:,:,jk) = tmask(:,:,jk) * ( ptb(:,:,jk-1,jn) - ptb(:,:,jk,jn) ) |
---|
[3] | 197 | END DO |
---|
| 198 | |
---|
[2528] | 199 | ! !-- Slopes of tracer |
---|
| 200 | zslpx(:,:,1) = 0.e0 ! surface values |
---|
| 201 | DO jk = 2, jpkm1 ! interior value |
---|
| 202 | DO jj = 1, jpj |
---|
| 203 | DO ji = 1, jpi |
---|
| 204 | zslpx(ji,jj,jk) = ( zwx(ji,jj,jk) + zwx(ji,jj,jk+1) ) & |
---|
| 205 | & * ( 0.25 + SIGN( 0.25, zwx(ji,jj,jk) * zwx(ji,jj,jk+1) ) ) |
---|
| 206 | END DO |
---|
[3] | 207 | END DO |
---|
| 208 | END DO |
---|
[2528] | 209 | ! !-- Slopes limitation |
---|
| 210 | DO jk = 2, jpkm1 ! interior values |
---|
| 211 | DO jj = 1, jpj |
---|
| 212 | DO ji = 1, jpi |
---|
| 213 | zslpx(ji,jj,jk) = SIGN( 1., zslpx(ji,jj,jk) ) * MIN( ABS( zslpx(ji,jj,jk ) ), & |
---|
| 214 | & 2.*ABS( zwx (ji,jj,jk+1) ), & |
---|
| 215 | & 2.*ABS( zwx (ji,jj,jk ) ) ) |
---|
| 216 | END DO |
---|
[3] | 217 | END DO |
---|
| 218 | END DO |
---|
[2528] | 219 | ! !-- vertical advective flux |
---|
| 220 | ! ! surface values (bottom already set to zero) |
---|
| 221 | IF( lk_vvl ) THEN ; zwx(:,:, 1 ) = 0.e0 ! variable volume |
---|
| 222 | ELSE ; zwx(:,:, 1 ) = pwn(:,:,1) * ptb(:,:,1,jn) ! linear free surface |
---|
| 223 | ENDIF |
---|
| 224 | ! |
---|
| 225 | DO jk = 1, jpkm1 ! interior values |
---|
| 226 | zdt = p2dt(jk) |
---|
| 227 | DO jj = 2, jpjm1 |
---|
| 228 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 229 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3w(ji,jj,jk+1) ) |
---|
| 230 | z0w = SIGN( 0.5, pwn(ji,jj,jk+1) ) |
---|
| 231 | zalpha = 0.5 + z0w |
---|
| 232 | zw = z0w - 0.5 * pwn(ji,jj,jk+1) * zdt * zbtr |
---|
| 233 | zzwx = ptb(ji,jj,jk+1,jn) + zw * zslpx(ji,jj,jk+1) |
---|
| 234 | zzwy = ptb(ji,jj,jk ,jn) + zw * zslpx(ji,jj,jk ) |
---|
| 235 | zwx(ji,jj,jk+1) = pwn(ji,jj,jk+1) * ( zalpha * zzwx + (1.-zalpha) * zzwy ) |
---|
| 236 | END DO |
---|
[3] | 237 | END DO |
---|
| 238 | END DO |
---|
| 239 | |
---|
[2528] | 240 | ! Compute & add the vertical advective trend |
---|
[503] | 241 | DO jk = 1, jpkm1 |
---|
[2528] | 242 | DO jj = 2, jpjm1 |
---|
[503] | 243 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 244 | zbtr = 1. / ( e1t(ji,jj) * e2t(ji,jj) * fse3t(ji,jj,jk) ) |
---|
| 245 | ! vertical advective trends |
---|
| 246 | ztra = - zbtr * ( zwx(ji,jj,jk) - zwx(ji,jj,jk+1) ) |
---|
| 247 | ! add it to the general tracer trends |
---|
| 248 | pta(ji,jj,jk,jn) = pta(ji,jj,jk,jn) + ztra |
---|
[503] | 249 | END DO |
---|
| 250 | END DO |
---|
| 251 | END DO |
---|
[2528] | 252 | ! ! Save the vertical advective trends for diagnostic |
---|
| 253 | IF( l_trd ) CALL trd_tra( kt, cdtype, jn, jptra_trd_zad, zwx, pwn, ptb(:,:,:,jn) ) |
---|
[503] | 254 | ! |
---|
[2528] | 255 | ENDDO |
---|
[503] | 256 | ! |
---|
[3294] | 257 | CALL wrk_dealloc( jpi, jpj, jpk, zslpx, zslpy ) |
---|
[2715] | 258 | ! |
---|
[3294] | 259 | IF( nn_timing == 1 ) CALL timing_stop('tra_adv_muscl') |
---|
| 260 | ! |
---|
[3] | 261 | END SUBROUTINE tra_adv_muscl |
---|
| 262 | |
---|
| 263 | !!====================================================================== |
---|
| 264 | END MODULE traadv_muscl |
---|