[186] | 1 | MODULE trcadv_muscl |
---|
| 2 | !!============================================================================== |
---|
| 3 | !! *** MODULE trcadv_muscl *** |
---|
| 4 | !! Ocean passive tracers: horizontal & vertical advective trend |
---|
| 5 | !!============================================================================== |
---|
| 6 | #if defined key_passivetrc |
---|
| 7 | !!---------------------------------------------------------------------- |
---|
| 8 | !! trc_adv_muscl : update the tracer trend with the horizontal |
---|
| 9 | !! and vertical advection trends using MUSCL scheme |
---|
| 10 | !!---------------------------------------------------------------------- |
---|
| 11 | !! * Modules used |
---|
[202] | 12 | USE oce_trc ! ocean dynamics and active tracers variables |
---|
| 13 | USE trc ! ocean passive tracers variables |
---|
| 14 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[204] | 15 | USE trcbbl ! advective passive tracers in the BBL |
---|
[261] | 16 | USE lib_mpp |
---|
[334] | 17 | USE prtctl_trc ! Print control for debbuging |
---|
[186] | 18 | |
---|
| 19 | IMPLICIT NONE |
---|
| 20 | PRIVATE |
---|
| 21 | |
---|
| 22 | !! * Accessibility |
---|
| 23 | PUBLIC trc_adv_muscl ! routine called by trcstp.F90 |
---|
| 24 | |
---|
| 25 | !! * Substitutions |
---|
| 26 | # include "passivetrc_substitute.h90" |
---|
| 27 | !!---------------------------------------------------------------------- |
---|
[349] | 28 | !! TOP 1.0 , LOCEAN-IPSL (2005) |
---|
[342] | 29 | !! $Header$ |
---|
| 30 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
---|
[186] | 31 | !!---------------------------------------------------------------------- |
---|
| 32 | |
---|
| 33 | CONTAINS |
---|
| 34 | |
---|
| 35 | SUBROUTINE trc_adv_muscl( kt ) |
---|
| 36 | !!---------------------------------------------------------------------- |
---|
| 37 | !! *** ROUTINE trc_adv_muscl *** |
---|
| 38 | !! |
---|
| 39 | !! ** Purpose : Compute the now trend due to total advection of any pas- |
---|
| 40 | !! sive tracer using a MUSCL scheme (Monotone Upstream-centered Scheme |
---|
| 41 | !! for Conservation Laws) and add it to the general tracer trend. |
---|
| 42 | !! |
---|
| 43 | !! ** Method : |
---|
| 44 | !! |
---|
| 45 | !! ** Action : - update tra with the now advective tracer trends |
---|
| 46 | !! - save trends in trtrd ('key_trc_diatrd') |
---|
| 47 | !! |
---|
| 48 | !! References : |
---|
| 49 | !! Estubier, A., and M. Levy, Notes Techn. Pole de Modelisation |
---|
| 50 | !! IPSL, Sept. 2000 (http://www.lodyc.jussieu.fr/opa) |
---|
| 51 | !! |
---|
| 52 | !! History : |
---|
| 53 | !! ! 06-00 (A.Estublier) for passive tracers |
---|
| 54 | !! 9.0 ! 03-04 (C. Ethe, G. Madec) F90: Free form and module |
---|
| 55 | !!---------------------------------------------------------------------- |
---|
| 56 | !! * modules used |
---|
| 57 | #if defined key_trcbbl_adv |
---|
| 58 | USE oce_trc , zun => ua, & ! use ua as workspace |
---|
| 59 | & zvn => va ! use va as workspace |
---|
| 60 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwn |
---|
| 61 | #else |
---|
| 62 | USE oce_trc , zun => un, & ! When no bbl, zun == un |
---|
| 63 | zvn => vn, & ! zvn == vn |
---|
| 64 | zwn => wn ! zwn == wn |
---|
| 65 | #endif |
---|
| 66 | |
---|
| 67 | !! * Arguments |
---|
| 68 | INTEGER, INTENT( in ) :: kt ! ocean time-step |
---|
| 69 | |
---|
| 70 | !! * Local declarations |
---|
| 71 | INTEGER :: ji, jj, jk,jn ! dummy loop indices |
---|
| 72 | REAL(wp), DIMENSION (jpi,jpj,jpk) :: & |
---|
| 73 | zt1, zt2, ztp1, ztp2 |
---|
| 74 | |
---|
| 75 | REAL(wp) :: zu, zv, zw, zeu, zev, zew, zbtr, ztra |
---|
| 76 | REAL(wp) :: z0u, z0v, z0w |
---|
[261] | 77 | REAL(wp) :: zzt1, zzt2, zalpha, z2dtt |
---|
[186] | 78 | #if defined key_trc_diatrd |
---|
| 79 | REAL(wp) :: ztai, ztaj |
---|
| 80 | REAL(wp) :: zfui, zfvj |
---|
| 81 | #endif |
---|
[334] | 82 | CHARACTER (len=22) :: charout |
---|
[186] | 83 | !!---------------------------------------------------------------------- |
---|
| 84 | |
---|
| 85 | |
---|
| 86 | IF( kt == nittrc000 .AND. lwp ) THEN |
---|
| 87 | WRITE(numout,*) |
---|
| 88 | WRITE(numout,*) 'trc_adv : MUSCL advection scheme' |
---|
| 89 | WRITE(numout,*) '~~~~~~~' |
---|
| 90 | ENDIF |
---|
| 91 | |
---|
| 92 | |
---|
| 93 | |
---|
| 94 | #if defined key_trcbbl_adv |
---|
| 95 | ! Advective bottom boundary layer |
---|
| 96 | ! ------------------------------- |
---|
| 97 | zun(:,:,:) = un (:,:,:) - u_trc_bbl(:,:,:) |
---|
| 98 | zvn(:,:,:) = vn (:,:,:) - v_trc_bbl(:,:,:) |
---|
| 99 | zwn(:,:,:) = wn (:,:,:) + w_trc_bbl(:,:,:) |
---|
| 100 | #endif |
---|
| 101 | |
---|
| 102 | |
---|
| 103 | |
---|
| 104 | DO jn = 1, jptra |
---|
| 105 | |
---|
| 106 | ! I. Horizontal advective fluxes |
---|
| 107 | ! ------------------------------ |
---|
| 108 | |
---|
| 109 | ! first guess of the slopes |
---|
| 110 | ! interior values |
---|
| 111 | DO jk = 1, jpkm1 |
---|
| 112 | DO jj = 1, jpjm1 |
---|
| 113 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 114 | zt1(ji,jj,jk) = umask(ji,jj,jk) * ( trb(ji+1,jj,jk,jn) - trb(ji,jj,jk,jn) ) |
---|
| 115 | zt2(ji,jj,jk) = vmask(ji,jj,jk) * ( trb(ji,jj+1,jk,jn) - trb(ji,jj,jk,jn) ) |
---|
| 116 | END DO |
---|
| 117 | END DO |
---|
| 118 | END DO |
---|
| 119 | ! bottom values |
---|
| 120 | zt1(:,:,jpk) = 0.e0 |
---|
| 121 | zt2(:,:,jpk) = 0.e0 |
---|
| 122 | |
---|
| 123 | ! lateral boundary conditions on zt1, zt2 |
---|
| 124 | CALL lbc_lnk( zt1, 'U', -1. ) |
---|
| 125 | CALL lbc_lnk( zt2, 'V', -1. ) |
---|
| 126 | |
---|
| 127 | |
---|
| 128 | ! Slopes |
---|
| 129 | ! interior values |
---|
| 130 | DO jk = 1, jpkm1 |
---|
| 131 | DO jj = 2, jpj |
---|
[202] | 132 | DO ji = fs_2, jpi ! vector opt. |
---|
| 133 | ztp1(ji,jj,jk) = ( zt1(ji,jj,jk) + zt1(ji-1,jj ,jk) ) & |
---|
| 134 | & * ( 0.25 + SIGN( 0.25, zt1(ji,jj,jk) * zt1(ji-1,jj ,jk) ) ) |
---|
| 135 | ztp2(ji,jj,jk) = ( zt2(ji,jj,jk) + zt2(ji ,jj-1,jk) ) & |
---|
| 136 | & * ( 0.25 + SIGN( 0.25, zt2(ji,jj,jk) * zt2(ji ,jj-1,jk) ) ) |
---|
[186] | 137 | END DO |
---|
| 138 | END DO |
---|
| 139 | END DO |
---|
| 140 | ! bottom values |
---|
| 141 | ztp1(:,:,jpk) = 0.e0 |
---|
| 142 | ztp2(:,:,jpk) = 0.e0 |
---|
| 143 | |
---|
| 144 | ! Slopes limitation |
---|
| 145 | DO jk = 1, jpkm1 |
---|
| 146 | DO jj = 2, jpj |
---|
[261] | 147 | DO ji = fs_2, jpi ! vector opt. |
---|
[186] | 148 | ztp1(ji,jj,jk) = SIGN( 1., ztp1(ji,jj,jk) ) & |
---|
| 149 | & * MIN( ABS( ztp1(ji ,jj,jk) ), & |
---|
| 150 | & 2.*ABS( zt1 (ji-1,jj,jk) ), & |
---|
| 151 | & 2.*ABS( zt1 (ji ,jj,jk) ) ) |
---|
| 152 | |
---|
| 153 | ztp2(ji,jj,jk) = SIGN( 1., ztp2(ji,jj,jk) ) & |
---|
| 154 | & * MIN( ABS( ztp2(ji,jj ,jk) ), & |
---|
| 155 | & 2.*ABS( zt2 (ji,jj-1,jk) ), & |
---|
| 156 | & 2.*ABS( zt2 (ji,jj ,jk) ) ) |
---|
| 157 | |
---|
| 158 | END DO |
---|
| 159 | END DO |
---|
| 160 | END DO |
---|
| 161 | |
---|
| 162 | ! Advection terms |
---|
| 163 | ! interior values |
---|
| 164 | DO jk = 1, jpkm1 |
---|
| 165 | DO jj = 2, jpjm1 |
---|
| 166 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 167 | ! volume fluxes |
---|
| 168 | #if defined key_s_coord || defined key_partial_steps |
---|
| 169 | zeu = e2u(ji,jj) * fse3u(ji,jj,jk) * zun(ji,jj,jk) |
---|
| 170 | zev = e1v(ji,jj) * fse3v(ji,jj,jk) * zvn(ji,jj,jk) |
---|
| 171 | #else |
---|
| 172 | zeu = e2u(ji,jj) * zun(ji,jj,jk) |
---|
| 173 | zev = e1v(ji,jj) * zvn(ji,jj,jk) |
---|
| 174 | #endif |
---|
| 175 | ! MUSCL fluxes |
---|
[261] | 176 | z2dtt = rdttra(jk) * FLOAT(ndttrc) |
---|
[186] | 177 | z0u = SIGN( 0.5, zun(ji,jj,jk) ) |
---|
| 178 | zalpha = 0.5 - z0u |
---|
[261] | 179 | zu = z0u - 0.5 * zun(ji,jj,jk) * z2dtt / e1u(ji,jj) |
---|
[186] | 180 | zzt1 = trb(ji+1,jj,jk,jn) + zu*ztp1(ji+1,jj,jk) |
---|
| 181 | zzt2 = trb(ji ,jj,jk,jn) + zu*ztp1(ji ,jj,jk) |
---|
| 182 | zt1(ji,jj,jk) = zeu * ( zalpha * zzt1 + (1.-zalpha) * zzt2 ) |
---|
| 183 | z0v = SIGN( 0.5, zvn(ji,jj,jk) ) |
---|
| 184 | zalpha = 0.5 - z0v |
---|
[261] | 185 | zv = z0v - 0.5 * zvn(ji,jj,jk) * z2dtt / e2v(ji,jj) |
---|
[186] | 186 | zzt1 = trb(ji,jj+1,jk,jn) + zv*ztp2(ji,jj+1,jk) |
---|
| 187 | zzt2 = trb(ji,jj ,jk,jn) + zv*ztp2(ji,jj ,jk) |
---|
| 188 | zt2(ji,jj,jk) = zev * ( zalpha * zzt1 + (1.-zalpha) * zzt2 ) |
---|
| 189 | END DO |
---|
| 190 | END DO |
---|
| 191 | END DO |
---|
| 192 | |
---|
| 193 | ! lateral boundary conditions on zt1, zt2 (changed sign) |
---|
| 194 | CALL lbc_lnk( zt1, 'U', -1. ) |
---|
| 195 | CALL lbc_lnk( zt2, 'V', -1. ) |
---|
| 196 | |
---|
| 197 | ! Compute and add the horizontal advective trend |
---|
| 198 | |
---|
| 199 | DO jk = 1, jpkm1 |
---|
| 200 | DO jj = 2, jpjm1 |
---|
| 201 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 202 | #if defined key_s_coord || defined key_partial_steps |
---|
| 203 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj)*fse3t(ji,jj,jk) ) |
---|
| 204 | #else |
---|
| 205 | zbtr = 1. / ( e1t(ji,jj)*e2t(ji,jj) ) |
---|
| 206 | #endif |
---|
| 207 | ! horizontal advective trends |
---|
| 208 | ztra = - zbtr * ( zt1(ji,jj,jk) - zt1(ji-1,jj ,jk ) & |
---|
| 209 | & + zt2(ji,jj,jk) - zt2(ji ,jj-1,jk ) ) |
---|
| 210 | ! add it to the general tracer trends |
---|
| 211 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
---|
| 212 | #if defined key_trc_diatrd |
---|
| 213 | ! recompute the trends in i- and j-direction as Uh gradh(T) |
---|
| 214 | # if defined key_s_coord || defined key_partial_steps |
---|
| 215 | zfui = e2u(ji ,jj) * fse3u(ji, jj,jk) * un(ji, jj,jk) & |
---|
| 216 | & - e2u(ji-1,jj) * fse3u(ji-1,jj,jk) * un(ji-1,jj,jk) |
---|
| 217 | zfvj = e1v(ji,jj ) * fse3v(ji,jj ,jk) * vn(ji,jj ,jk) & |
---|
| 218 | & - e1v(ji,jj-1) * fse3v(ji,jj-1,jk) * vn(ji,jj-1,jk) |
---|
| 219 | # else |
---|
| 220 | zfui = e2u(ji ,jj) * un(ji, jj,jk) & |
---|
| 221 | & - e2u(ji-1,jj) * un(ji-1,jj,jk) |
---|
| 222 | zfvj = e1v(ji,jj ) * vn(ji,jj ,jk) & |
---|
| 223 | & - e1v(ji,jj-1) * vn(ji,jj-1,jk) |
---|
| 224 | # endif |
---|
| 225 | ztai =-zbtr * ( zt1(ji,jj,jk) - zt1(ji-1,jj ,jk) - trn(ji,jj,jk,jn) * zfui ) |
---|
| 226 | ztaj =-zbtr * ( zt2(ji,jj,jk) - zt2(ji ,jj-1,jk) - trn(ji,jj,jk,jn) * zfvj ) |
---|
| 227 | ! save i- and j- advective trends computed as Uh gradh(T) |
---|
[433] | 228 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),1) = ztai |
---|
| 229 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),2) = ztaj |
---|
[186] | 230 | #endif |
---|
| 231 | END DO |
---|
| 232 | END DO |
---|
| 233 | END DO |
---|
[334] | 234 | ENDDO |
---|
[186] | 235 | |
---|
[334] | 236 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
---|
| 237 | WRITE(charout, FMT="('muscl - had')") |
---|
| 238 | CALL prt_ctl_trc_info(charout) |
---|
| 239 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
---|
| 240 | ENDIF |
---|
[186] | 241 | |
---|
| 242 | ! II. Vertical advective fluxes |
---|
| 243 | ! ----------------------------- |
---|
| 244 | |
---|
[334] | 245 | DO jn = 1, jptra |
---|
[186] | 246 | ! First guess of the slope |
---|
| 247 | ! interior values |
---|
| 248 | DO jk = 2, jpkm1 |
---|
| 249 | zt1(:,:,jk) = tmask(:,:,jk) * ( trb(:,:,jk-1,jn) - trb(:,:,jk,jn) ) |
---|
| 250 | END DO |
---|
[202] | 251 | ! surface and bottom boundary conditions |
---|
[186] | 252 | zt1 (:,:, 1 ) = 0.e0 |
---|
| 253 | zt1 (:,:,jpk) = 0.e0 |
---|
| 254 | ! Slopes |
---|
| 255 | DO jk = 2, jpkm1 |
---|
| 256 | DO jj = 1, jpj |
---|
| 257 | DO ji = 1, jpi |
---|
[202] | 258 | ztp1(ji,jj,jk) = ( zt1(ji,jj,jk) + zt1(ji,jj,jk+1) ) & |
---|
| 259 | & * ( 0.25 + SIGN( 0.25, zt1(ji,jj,jk) * zt1(ji,jj,jk+1) ) ) |
---|
[186] | 260 | END DO |
---|
| 261 | END DO |
---|
| 262 | END DO |
---|
| 263 | |
---|
| 264 | ! Slopes limitation |
---|
| 265 | ! interior values |
---|
| 266 | DO jk = 2, jpkm1 |
---|
| 267 | DO jj = 1, jpj |
---|
| 268 | DO ji = 1, jpi |
---|
| 269 | ztp1(ji,jj,jk) = SIGN( 1., ztp1(ji,jj,jk) ) & |
---|
| 270 | & * MIN( ABS( ztp1(ji,jj,jk ) ), & |
---|
| 271 | & 2.*ABS( zt1 (ji,jj,jk+1) ), & |
---|
| 272 | & 2.*ABS( zt1 (ji,jj,jk ) ) ) |
---|
| 273 | END DO |
---|
| 274 | END DO |
---|
| 275 | END DO |
---|
| 276 | ! surface values |
---|
| 277 | ztp1(:,:,1) = 0. |
---|
| 278 | ! vertical advective flux |
---|
| 279 | ! interior values |
---|
| 280 | DO jk = 1, jpkm1 |
---|
| 281 | DO jj = 2, jpjm1 |
---|
| 282 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[261] | 283 | z2dtt = rdttra(jk) * FLOAT(ndttrc) |
---|
[186] | 284 | zew = zwn(ji,jj,jk+1) |
---|
| 285 | z0w = SIGN( 0.5, zwn(ji,jj,jk+1) ) |
---|
| 286 | zalpha = 0.5 + z0w |
---|
[261] | 287 | zw = z0w - 0.5 * zwn(ji,jj,jk+1)*z2dtt / fse3w(ji,jj,jk+1) |
---|
[186] | 288 | zzt1 = trb(ji,jj,jk+1,jn) + zw*ztp1(ji,jj,jk+1) |
---|
| 289 | zzt2 = trb(ji,jj,jk ,jn) + zw*ztp1(ji,jj,jk ) |
---|
| 290 | zt1(ji,jj,jk+1) = zew * ( zalpha * zzt1 + (1.-zalpha)*zzt2 ) |
---|
| 291 | END DO |
---|
| 292 | END DO |
---|
| 293 | END DO |
---|
| 294 | ! surface values |
---|
[361] | 295 | IF( lk_dynspg_rl ) THEN ! rigid lid : flux set to zero |
---|
| 296 | zt1(:,:, 1 ) = 0.e0 |
---|
| 297 | ELSE ! free surface |
---|
[202] | 298 | zt1(:,:, 1 ) = zwn(:,:,1) * trb(:,:,1,jn) |
---|
| 299 | ENDIF |
---|
| 300 | |
---|
[186] | 301 | ! bottom values |
---|
| 302 | zt1(:,:,jpk) = 0.e0 |
---|
| 303 | |
---|
| 304 | ! Compute & add the vertical advective trend |
---|
| 305 | |
---|
| 306 | DO jk = 1, jpkm1 |
---|
| 307 | DO jj = 2, jpjm1 |
---|
| 308 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 309 | zbtr = 1. / fse3t(ji,jj,jk) |
---|
| 310 | ! horizontal advective trends |
---|
| 311 | ztra = - zbtr * ( zt1(ji,jj,jk) - zt1(ji,jj,jk+1) ) |
---|
| 312 | ! add it to the general tracer trends |
---|
| 313 | tra(ji,jj,jk,jn) = tra(ji,jj,jk,jn) + ztra |
---|
| 314 | #if defined key_trc_diatrd |
---|
| 315 | ! save the vertical advective trends computed as w gradz(T) |
---|
[433] | 316 | IF (luttrd(jn)) trtrd(ji,jj,jk,ikeep(jn),3) = ztra - trn(ji,jj,jk,jn) * hdivn(ji,jj,jk) |
---|
[186] | 317 | #endif |
---|
| 318 | END DO |
---|
| 319 | END DO |
---|
| 320 | END DO |
---|
| 321 | |
---|
[202] | 322 | END DO |
---|
| 323 | |
---|
[334] | 324 | IF(ln_ctl) THEN ! print mean trends (used for debugging) |
---|
| 325 | WRITE(charout, FMT="('muscl - zad')") |
---|
| 326 | CALL prt_ctl_trc_info(charout) |
---|
| 327 | CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm,clinfo2='trd') |
---|
| 328 | ENDIF |
---|
| 329 | |
---|
[186] | 330 | END SUBROUTINE trc_adv_muscl |
---|
| 331 | |
---|
| 332 | #else |
---|
| 333 | !!---------------------------------------------------------------------- |
---|
| 334 | !! Default option Empty module |
---|
| 335 | !!---------------------------------------------------------------------- |
---|
| 336 | CONTAINS |
---|
| 337 | SUBROUTINE trc_adv_muscl( kt ) |
---|
| 338 | INTEGER, INTENT(in) :: kt |
---|
| 339 | WRITE(*,*) 'trc_adv_muscl: You should not have seen this print! error?', kt |
---|
| 340 | END SUBROUTINE trc_adv_muscl |
---|
| 341 | #endif |
---|
| 342 | |
---|
| 343 | !!====================================================================== |
---|
| 344 | END MODULE trcadv_muscl |
---|