MODULE p4zsink !!====================================================================== !! *** MODULE p4zsink *** !! TOP : PISCES vertical flux of particulate matter due to gravitational sinking !!====================================================================== !! History : 1.0 ! 2004 (O. Aumont) Original code !! 2.0 ! 2007-12 (C. Ethe, G. Madec) F90 !! 3.4 ! 2011-06 (O. Aumont, C. Ethe) Change aggregation formula !! 3.5 ! 2012-07 (O. Aumont) Introduce potential time-splitting !!---------------------------------------------------------------------- #if defined key_pisces !!---------------------------------------------------------------------- !! p4z_sink : Compute vertical flux of particulate matter due to gravitational sinking !! p4z_sink_init : Unitialisation of sinking speed parameters !! p4z_sink_alloc : Allocate sinking speed variables !!---------------------------------------------------------------------- USE oce_trc ! shared variables between ocean and passive tracers USE trc ! passive tracers common variables USE sms_pisces ! PISCES Source Minus Sink variables USE prtctl_trc ! print control for debugging USE iom ! I/O manager USE lib_mpp IMPLICIT NONE PRIVATE PUBLIC p4z_sink ! called in p4zbio.F90 PUBLIC p4z_sink_init ! called in trcsms_pisces.F90 PUBLIC p4z_sink_alloc REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wsbio3 !: POC sinking speed REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wsbio4 !: GOC sinking speed REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: wscal !: Calcite and BSi sinking speeds REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sinking, sinking2 !: POC sinking fluxes ! ! (different meanings depending on the parameterization) REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sinkcal, sinksil !: CaCO3 and BSi sinking fluxes REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sinkfer !: Small BFe sinking fluxes #if ! defined key_kriest REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: sinkfer2 !: Big iron sinking fluxes #endif INTEGER :: ik100 #if defined key_kriest REAL(wp) :: xkr_sfact !: Sinking factor REAL(wp) :: xkr_stick !: Stickiness REAL(wp) :: xkr_nnano !: Nbr of cell in nano size class REAL(wp) :: xkr_ndiat !: Nbr of cell in diatoms size class REAL(wp) :: xkr_nmicro !: Nbr of cell in microzoo size class REAL(wp) :: xkr_nmeso !: Nbr of cell in mesozoo size class REAL(wp) :: xkr_naggr !: Nbr of cell in aggregates size class REAL(wp) :: xkr_frac REAL(wp), PUBLIC :: xkr_dnano !: Size of particles in nano pool REAL(wp), PUBLIC :: xkr_ddiat !: Size of particles in diatoms pool REAL(wp), PUBLIC :: xkr_dmicro !: Size of particles in microzoo pool REAL(wp), PUBLIC :: xkr_dmeso !: Size of particles in mesozoo pool REAL(wp), PUBLIC :: xkr_daggr !: Size of particles in aggregates pool REAL(wp), PUBLIC :: xkr_wsbio_min !: min vertical particle speed REAL(wp), PUBLIC :: xkr_wsbio_max !: max vertical particle speed REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:) :: xnumm !: maximum number of particles in aggregates #endif !!* Substitution # include "top_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/TOP 3.3 , NEMO Consortium (2010) !! $Id$ !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS #if ! defined key_kriest !!---------------------------------------------------------------------- !! 'standard sinking parameterisation' ??? !!---------------------------------------------------------------------- SUBROUTINE p4z_sink ( kt, jnt ) !!--------------------------------------------------------------------- !! *** ROUTINE p4z_sink *** !! !! ** Purpose : Compute vertical flux of particulate matter due to !! gravitational sinking !! !! ** Method : - ??? !!--------------------------------------------------------------------- INTEGER, INTENT(in) :: kt, jnt INTEGER :: ji, jj, jk, jit INTEGER :: iiter1, iiter2 REAL(wp) :: zagg1, zagg2, zagg3, zagg4 REAL(wp) :: zagg , zaggfe, zaggdoc, zaggdoc2, zaggdoc3 REAL(wp) :: zfact, zwsmax, zmax, zstep CHARACTER (len=25) :: charout REAL(wp), POINTER, DIMENSION(:,:,:) :: zw3d REAL(wp), POINTER, DIMENSION(:,: ) :: zw2d !!--------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('p4z_sink') ! ! Sinking speeds of detritus is increased with depth as shown ! by data and from the coagulation theory ! ----------------------------------------------------------- DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1,jpi zmax = MAX( heup(ji,jj), hmld(ji,jj) ) zfact = MAX( 0., fsdepw(ji,jj,jk+1) - zmax ) / 5000._wp wsbio4(ji,jj,jk) = wsbio2 + ( 200.- wsbio2 ) * zfact END DO END DO END DO ! limit the values of the sinking speeds to avoid numerical instabilities wsbio3(:,:,:) = wsbio wscal (:,:,:) = wsbio4(:,:,:) ! ! OA This is (I hope) a temporary solution for the problem that may ! OA arise in specific situation where the CFL criterion is broken ! OA for vertical sedimentation of particles. To avoid this, a time ! OA splitting algorithm has been coded. A specific maximum ! OA iteration number is provided and may be specified in the namelist ! OA This is to avoid very large iteration number when explicit free ! OA surface is used (for instance). When niter?max is set to 1, ! OA this computation is skipped. The crude old threshold method is ! OA then applied. This also happens when niter exceeds nitermax. IF( MAX( niter1max, niter2max ) == 1 ) THEN iiter1 = 1 iiter2 = 1 ELSE iiter1 = 1 iiter2 = 1 DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1, jpi IF( tmask(ji,jj,jk) == 1) THEN zwsmax = 0.5 * fse3t(ji,jj,jk) / xstep iiter1 = MAX( iiter1, INT( wsbio3(ji,jj,jk) / zwsmax ) ) iiter2 = MAX( iiter2, INT( wsbio4(ji,jj,jk) / zwsmax ) ) ENDIF END DO END DO END DO IF( lk_mpp ) THEN CALL mpp_max( iiter1 ) CALL mpp_max( iiter2 ) ENDIF iiter1 = MIN( iiter1, niter1max ) iiter2 = MIN( iiter2, niter2max ) ENDIF DO jk = 1,jpkm1 DO jj = 1, jpj DO ji = 1, jpi IF( tmask(ji,jj,jk) == 1 ) THEN zwsmax = 0.5 * fse3t(ji,jj,jk) / xstep wsbio3(ji,jj,jk) = MIN( wsbio3(ji,jj,jk), zwsmax * FLOAT( iiter1 ) ) wsbio4(ji,jj,jk) = MIN( wsbio4(ji,jj,jk), zwsmax * FLOAT( iiter2 ) ) ENDIF END DO END DO END DO ! Initializa to zero all the sinking arrays ! ----------------------------------------- sinking (:,:,:) = 0.e0 sinking2(:,:,:) = 0.e0 sinkcal (:,:,:) = 0.e0 sinkfer (:,:,:) = 0.e0 sinksil (:,:,:) = 0.e0 sinkfer2(:,:,:) = 0.e0 ! Compute the sedimentation term using p4zsink2 for all the sinking particles ! ----------------------------------------------------- DO jit = 1, iiter1 CALL p4z_sink2( wsbio3, sinking , jppoc, iiter1 ) CALL p4z_sink2( wsbio3, sinkfer , jpsfe, iiter1 ) END DO DO jit = 1, iiter2 CALL p4z_sink2( wsbio4, sinking2, jpgoc, iiter2 ) CALL p4z_sink2( wsbio4, sinkfer2, jpbfe, iiter2 ) CALL p4z_sink2( wsbio4, sinksil , jpgsi, iiter2 ) CALL p4z_sink2( wscal , sinkcal , jpcal, iiter2 ) END DO ! Exchange between organic matter compartments due to coagulation/disaggregation ! --------------------------------------------------- DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1, jpi ! zstep = xstep # if defined key_degrad zstep = zstep * facvol(ji,jj,jk) # endif zfact = zstep * xdiss(ji,jj,jk) ! Part I : Coagulation dependent on turbulence zagg1 = 25.9 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) zagg2 = 4452. * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) ! Part II : Differential settling ! Aggregation of small into large particles zagg3 = 47.1 * zstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) zagg4 = 3.3 * zstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) zagg = zagg1 + zagg2 + zagg3 + zagg4 zaggfe = zagg * trn(ji,jj,jk,jpsfe) / ( trn(ji,jj,jk,jppoc) + rtrn ) ! Aggregation of DOC to POC : ! 1st term is shear aggregation of DOC-DOC ! 2nd term is shear aggregation of DOC-POC ! 3rd term is differential settling of DOC-POC zaggdoc = ( ( 0.369 * 0.3 * trn(ji,jj,jk,jpdoc) + 102.4 * trn(ji,jj,jk,jppoc) ) * zfact & & + 2.4 * zstep * trn(ji,jj,jk,jppoc) ) * 0.3 * trn(ji,jj,jk,jpdoc) ! transfer of DOC to GOC : ! 1st term is shear aggregation ! 2nd term is differential settling zaggdoc2 = ( 3.53E3 * zfact + 0.1 * zstep ) * trn(ji,jj,jk,jpgoc) * 0.3 * trn(ji,jj,jk,jpdoc) ! tranfer of DOC to POC due to brownian motion zaggdoc3 = ( 5095. * trn(ji,jj,jk,jppoc) + 114. * 0.3 * trn(ji,jj,jk,jpdoc) ) *zstep * 0.3 * trn(ji,jj,jk,jpdoc) ! Update the trends tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) - zagg + zaggdoc + zaggdoc3 tra(ji,jj,jk,jpgoc) = tra(ji,jj,jk,jpgoc) + zagg + zaggdoc2 tra(ji,jj,jk,jpsfe) = tra(ji,jj,jk,jpsfe) - zaggfe tra(ji,jj,jk,jpbfe) = tra(ji,jj,jk,jpbfe) + zaggfe tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc - zaggdoc2 - zaggdoc3 ! END DO END DO END DO ! Total carbon export per year IF( iom_use( "tcexp" ) .OR. ( ln_check_mass .AND. kt == nitend .AND. jnt == nrdttrc ) ) & & t_oce_co2_exp = glob_sum( ( sinking(:,:,ik100) + sinking2(:,:,ik100) ) * e1e2t(:,:) * tmask(:,:,1) ) ! IF( lk_iomput ) THEN IF( jnt == nrdttrc ) THEN CALL wrk_alloc( jpi, jpj, zw2d ) CALL wrk_alloc( jpi, jpj, jpk, zw3d ) zfact = 1.e+3 * rfact2r ! conversion from mol/l/kt to mol/m3/s ! IF( iom_use( "EPC100" ) ) THEN zw2d(:,:) = ( sinking(:,:,ik100) + sinking2(:,:,ik100) ) * zfact * tmask(:,:,1) ! Export of carbon at 100m CALL iom_put( "EPC100" , zw2d ) ENDIF IF( iom_use( "EPFE100" ) ) THEN zw2d(:,:) = ( sinkfer(:,:,ik100) + sinkfer2(:,:,ik100) ) * zfact * tmask(:,:,1) ! Export of iron at 100m CALL iom_put( "EPFE100" , zw2d ) ENDIF IF( iom_use( "EPCAL100" ) ) THEN zw2d(:,:) = sinkcal(:,:,ik100) * zfact * tmask(:,:,1) ! Export of calcite at 100m CALL iom_put( "EPCAL100" , zw2d ) ENDIF IF( iom_use( "EPSI100" ) ) THEN zw2d(:,:) = sinksil(:,:,ik100) * zfact * tmask(:,:,1) ! Export of bigenic silica at 100m CALL iom_put( "EPSI100" , zw2d ) ENDIF IF( iom_use( "EXPC" ) ) THEN zw3d(:,:,:) = ( sinking(:,:,:) + sinking2(:,:,:) ) * zfact * tmask(:,:,:) ! Export of carbon in the water column CALL iom_put( "EXPC" , zw3d ) ENDIF IF( iom_use( "EXPFE" ) ) THEN zw3d(:,:,:) = ( sinkfer(:,:,:) + sinkfer2(:,:,:) ) * zfact * tmask(:,:,:) ! Export of iron CALL iom_put( "EXPFE" , zw3d ) ENDIF IF( iom_use( "EXPCAL" ) ) THEN zw3d(:,:,:) = sinkcal(:,:,:) * zfact * tmask(:,:,:) ! Export of calcite CALL iom_put( "EXPCAL" , zw3d ) ENDIF IF( iom_use( "EXPSI" ) ) THEN zw3d(:,:,:) = sinksil(:,:,:) * zfact * tmask(:,:,:) ! Export of bigenic silica CALL iom_put( "EXPSI" , zw3d ) ENDIF IF( iom_use( "tcexp" ) ) CALL iom_put( "tcexp" , t_oce_co2_exp * zfact ) ! molC/s ! CALL wrk_dealloc( jpi, jpj, zw2d ) CALL wrk_dealloc( jpi, jpj, jpk, zw3d ) ENDIF ELSE IF( ln_diatrc ) THEN zfact = 1.e3 * rfact2r trc2d(:,:,jp_pcs0_2d + 4) = sinking (:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 5) = sinking2(:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 6) = sinkfer (:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 7) = sinkfer2(:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 8) = sinksil (:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 9) = sinkcal (:,:,ik100) * zfact * tmask(:,:,1) ENDIF ENDIF ! IF(ln_ctl) THEN ! print mean trends (used for debugging) WRITE(charout, FMT="('sink')") CALL prt_ctl_trc_info(charout) CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm) ENDIF ! IF( nn_timing == 1 ) CALL timing_stop('p4z_sink') ! END SUBROUTINE p4z_sink SUBROUTINE p4z_sink_init !!---------------------------------------------------------------------- !! *** ROUTINE p4z_sink_init *** !!---------------------------------------------------------------------- INTEGER :: jk ik100 = 10 ! last level where depth less than 100 m DO jk = jpkm1, 1, -1 IF( gdept_1d(jk) > 100. ) ik100 = jk - 1 END DO IF (lwp) WRITE(numout,*) IF (lwp) WRITE(numout,*) ' Level corresponding to 100m depth ', ik100 + 1 IF (lwp) WRITE(numout,*) ! t_oce_co2_exp = 0._wp ! END SUBROUTINE p4z_sink_init #else !!---------------------------------------------------------------------- !! 'Kriest sinking parameterisation' key_kriest ??? !!---------------------------------------------------------------------- SUBROUTINE p4z_sink ( kt, jnt ) !!--------------------------------------------------------------------- !! *** ROUTINE p4z_sink *** !! !! ** Purpose : Compute vertical flux of particulate matter due to !! gravitational sinking - Kriest parameterization !! !! ** Method : - ??? !!--------------------------------------------------------------------- ! INTEGER, INTENT(in) :: kt, jnt ! INTEGER :: ji, jj, jk, jit, niter1, niter2 REAL(wp) :: zagg1, zagg2, zagg3, zagg4, zagg5, zfract, zaggsi, zaggsh REAL(wp) :: zagg , zaggdoc, zaggdoc1, znumdoc REAL(wp) :: znum , zeps, zfm, zgm, zsm REAL(wp) :: zdiv , zdiv1, zdiv2, zdiv3, zdiv4, zdiv5 REAL(wp) :: zval1, zval2, zval3, zval4 REAL(wp) :: zfact INTEGER :: ik1 CHARACTER (len=25) :: charout REAL(wp), POINTER, DIMENSION(:,:,:) :: znum3d REAL(wp), POINTER, DIMENSION(:,:,:) :: zw3d REAL(wp), POINTER, DIMENSION(:,: ) :: zw2d !!--------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('p4z_sink') ! CALL wrk_alloc( jpi, jpj, jpk, znum3d ) ! ! Initialisation of variables used to compute Sinking Speed ! --------------------------------------------------------- znum3d(:,:,:) = 0.e0 zval1 = 1. + xkr_zeta zval2 = 1. + xkr_zeta + xkr_eta zval3 = 1. + xkr_eta ! Computation of the vertical sinking speed : Kriest et Evans, 2000 ! ----------------------------------------------------------------- DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1, jpi IF( tmask(ji,jj,jk) /= 0.e0 ) THEN znum = trn(ji,jj,jk,jppoc) / ( trn(ji,jj,jk,jpnum) + rtrn ) / xkr_massp ! -------------- To avoid sinking speed over 50 m/day ------- znum = MIN( xnumm(jk), znum ) znum = MAX( 1.1 , znum ) znum3d(ji,jj,jk) = znum !------------------------------------------------------------ zeps = ( zval1 * znum - 1. )/ ( znum - 1. ) zfm = xkr_frac**( 1. - zeps ) zgm = xkr_frac**( zval1 - zeps ) zdiv = MAX( 1.e-4, ABS( zeps - zval2 ) ) * SIGN( 1., ( zeps - zval2 ) ) zdiv1 = zeps - zval3 wsbio3(ji,jj,jk) = xkr_wsbio_min * ( zeps - zval1 ) / zdiv & & - xkr_wsbio_max * zgm * xkr_eta / zdiv wsbio4(ji,jj,jk) = xkr_wsbio_min * ( zeps-1. ) / zdiv1 & & - xkr_wsbio_max * zfm * xkr_eta / zdiv1 IF( znum == 1.1) wsbio3(ji,jj,jk) = wsbio4(ji,jj,jk) ENDIF END DO END DO END DO wscal(:,:,:) = MAX( wsbio3(:,:,:), 30._wp ) ! INITIALIZE TO ZERO ALL THE SINKING ARRAYS ! ----------------------------------------- sinking (:,:,:) = 0.e0 sinking2(:,:,:) = 0.e0 sinkcal (:,:,:) = 0.e0 sinkfer (:,:,:) = 0.e0 sinksil (:,:,:) = 0.e0 ! Compute the sedimentation term using p4zsink2 for all the sinking particles ! ----------------------------------------------------- niter1 = niter1max niter2 = niter2max DO jit = 1, niter1 CALL p4z_sink2( wsbio3, sinking , jppoc, niter1 ) CALL p4z_sink2( wsbio3, sinkfer , jpsfe, niter1 ) CALL p4z_sink2( wscal , sinksil , jpgsi, niter1 ) CALL p4z_sink2( wscal , sinkcal , jpcal, niter1 ) END DO DO jit = 1, niter2 CALL p4z_sink2( wsbio4, sinking2, jpnum, niter2 ) END DO ! Exchange between organic matter compartments due to coagulation/disaggregation ! --------------------------------------------------- zval1 = 1. + xkr_zeta zval2 = 1. + xkr_eta zval3 = 3. + xkr_eta zval4 = 4. + xkr_eta DO jk = 1,jpkm1 DO jj = 1,jpj DO ji = 1,jpi IF( tmask(ji,jj,jk) /= 0.e0 ) THEN znum = trn(ji,jj,jk,jppoc)/(trn(ji,jj,jk,jpnum)+rtrn) / xkr_massp !-------------- To avoid sinking speed over 50 m/day ------- znum = min(xnumm(jk),znum) znum = MAX( 1.1,znum) !------------------------------------------------------------ zeps = ( zval1 * znum - 1.) / ( znum - 1.) zdiv = MAX( 1.e-4, ABS( zeps - zval3) ) * SIGN( 1., zeps - zval3 ) zdiv1 = MAX( 1.e-4, ABS( zeps - 4. ) ) * SIGN( 1., zeps - 4. ) zdiv2 = zeps - 2. zdiv3 = zeps - 3. zdiv4 = zeps - zval2 zdiv5 = 2.* zeps - zval4 zfm = xkr_frac**( 1.- zeps ) zsm = xkr_frac**xkr_eta ! Part I : Coagulation dependant on turbulence ! ---------------------------------------------- zagg1 = 0.163 * trn(ji,jj,jk,jpnum)**2 & & * 2.*( (zfm-1.)*(zfm*xkr_mass_max**3-xkr_mass_min**3) & & * (zeps-1)/zdiv1 + 3.*(zfm*xkr_mass_max-xkr_mass_min) & & * (zfm*xkr_mass_max**2-xkr_mass_min**2) & & * (zeps-1.)**2/(zdiv2*zdiv3)) zagg2 = 2*0.163*trn(ji,jj,jk,jpnum)**2*zfm* & & ((xkr_mass_max**3+3.*(xkr_mass_max**2 & & *xkr_mass_min*(zeps-1.)/zdiv2 & & +xkr_mass_max*xkr_mass_min**2*(zeps-1.)/zdiv3) & & +xkr_mass_min**3*(zeps-1)/zdiv1) & & -zfm*xkr_mass_max**3*(1.+3.*((zeps-1.)/ & & (zeps-2.)+(zeps-1.)/zdiv3)+(zeps-1.)/zdiv1)) zagg3 = 0.163*trn(ji,jj,jk,jpnum)**2*zfm**2*8. * xkr_mass_max**3 ! Aggregation of small into large particles ! Part II : Differential settling ! ---------------------------------------------- zagg4 = 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2* & & xkr_wsbio_min*(zeps-1.)**2 & & *(xkr_mass_min**2*((1.-zsm*zfm)/(zdiv3*zdiv4) & & -(1.-zfm)/(zdiv*(zeps-1.)))- & & ((zfm*zfm*xkr_mass_max**2*zsm-xkr_mass_min**2) & & *xkr_eta)/(zdiv*zdiv3*zdiv5) ) zagg5 = 2.*3.141*0.125*trn(ji,jj,jk,jpnum)**2 & & *(zeps-1.)*zfm*xkr_wsbio_min & & *(zsm*(xkr_mass_min**2-zfm*xkr_mass_max**2) & & /zdiv3-(xkr_mass_min**2-zfm*zsm*xkr_mass_max**2) & & /zdiv) ! ! Fractionnation by swimming organisms ! ------------------------------------ zfract = 2.*3.141*0.125*trn(ji,jj,jk,jpmes)*12./0.12/0.06**3*trn(ji,jj,jk,jpnum) & & * (0.01/xkr_mass_min)**(1.-zeps)*0.1**2 & & * 10000.*xstep ! Aggregation of DOC to small particles ! -------------------------------------- zaggdoc = 0.83 * trn(ji,jj,jk,jpdoc) * xstep * xdiss(ji,jj,jk) * trn(ji,jj,jk,jpdoc) & & + 0.005 * 231. * trn(ji,jj,jk,jpdoc) * xstep * trn(ji,jj,jk,jpdoc) zaggdoc1 = 271. * trn(ji,jj,jk,jppoc) * xstep * xdiss(ji,jj,jk) * trn(ji,jj,jk,jpdoc) & & + 0.02 * 16706. * trn(ji,jj,jk,jppoc) * xstep * trn(ji,jj,jk,jpdoc) # if defined key_degrad zagg1 = zagg1 * facvol(ji,jj,jk) zagg2 = zagg2 * facvol(ji,jj,jk) zagg3 = zagg3 * facvol(ji,jj,jk) zagg4 = zagg4 * facvol(ji,jj,jk) zagg5 = zagg5 * facvol(ji,jj,jk) zaggdoc = zaggdoc * facvol(ji,jj,jk) zaggdoc1 = zaggdoc1 * facvol(ji,jj,jk) # endif zaggsh = ( zagg1 + zagg2 + zagg3 ) * rfact2 * xdiss(ji,jj,jk) / 1000. zaggsi = ( zagg4 + zagg5 ) * xstep / 10. zagg = 0.5 * xkr_stick * ( zaggsh + zaggsi ) ! znumdoc = trn(ji,jj,jk,jpnum) / ( trn(ji,jj,jk,jppoc) + rtrn ) tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) + zaggdoc + zaggdoc1 tra(ji,jj,jk,jpnum) = tra(ji,jj,jk,jpnum) + zfract + zaggdoc / xkr_massp - zagg tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc - zaggdoc1 ENDIF END DO END DO END DO ! Total primary production per year t_oce_co2_exp = t_oce_co2_exp + glob_sum( ( sinking(:,:,ik100) * e1e2t(:,:) * tmask(:,:,1) ) ! IF( lk_iomput ) THEN IF( jnt == nrdttrc ) THEN CALL wrk_alloc( jpi, jpj, zw2d ) CALL wrk_alloc( jpi, jpj, jpk, zw3d ) zfact = 1.e+3 * rfact2r ! conversion from mol/l/kt to mol/m3/s ! IF( iom_use( "EPC100" ) ) THEN zw2d(:,:) = sinking(:,:,ik100) * zfact * tmask(:,:,1) ! Export of carbon at 100m CALL iom_put( "EPC100" , zw2d ) ENDIF IF( iom_use( "EPN100" ) ) THEN zw2d(:,:) = sinking2(:,:,ik100) * zfact * tmask(:,:,1) ! Export of number of aggregates ? CALL iom_put( "EPN100" , zw2d ) ENDIF IF( iom_use( "EPCAL100" ) ) THEN zw2d(:,:) = sinkcal(:,:,ik100) * zfact * tmask(:,:,1) ! Export of calcite at 100m CALL iom_put( "EPCAL100" , zw2d ) ENDIF IF( iom_use( "EPSI100" ) ) THEN zw2d(:,:) = sinksil(:,:,ik100) * zfact * tmask(:,:,1) ! Export of bigenic silica at 100m CALL iom_put( "EPSI100" , zw2d ) ENDIF IF( iom_use( "EXPC" ) ) THEN zw3d(:,:,:) = sinking(:,:,:) * zfact * tmask(:,:,:) ! Export of carbon in the water column CALL iom_put( "EXPC" , zw3d ) ENDIF IF( iom_use( "EXPN" ) ) THEN zw3d(:,:,:) = sinking(:,:,:) * zfact * tmask(:,:,:) ! Export of carbon in the water column CALL iom_put( "EXPN" , zw3d ) ENDIF IF( iom_use( "EXPCAL" ) ) THEN zw3d(:,:,:) = sinkcal(:,:,:) * zfact * tmask(:,:,:) ! Export of calcite CALL iom_put( "EXPCAL" , zw3d ) ENDIF IF( iom_use( "EXPSI" ) ) THEN zw3d(:,:,:) = sinksil(:,:,:) * zfact * tmask(:,:,:) ! Export of bigenic silica CALL iom_put( "EXPSI" , zw3d ) ENDIF IF( iom_use( "XNUM" ) ) THEN zw3d(:,:,:) = znum3d(:,:,:) * tmask(:,:,:) ! Number of particles on aggregats CALL iom_put( "XNUM" , zw3d ) ENDIF IF( iom_use( "WSC" ) ) THEN zw3d(:,:,:) = wsbio3(:,:,:) * tmask(:,:,:) ! Sinking speed of carbon particles CALL iom_put( "WSC" , zw3d ) ENDIF IF( iom_use( "WSN" ) ) THEN zw3d(:,:,:) = wsbio4(:,:,:) * tmask(:,:,:) ! Sinking speed of particles number CALL iom_put( "WSN" , zw3d ) ENDIF ! CALL wrk_dealloc( jpi, jpj, zw2d ) CALL wrk_dealloc( jpi, jpj, jpk, zw3d ) ELSE IF( ln_diatrc ) THEN zfact = 1.e3 * rfact2r trc2d(:,: ,jp_pcs0_2d + 4) = sinking (:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 5) = sinking2(:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 6) = sinkfer (:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 7) = sinksil (:,:,ik100) * zfact * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 8) = sinkcal (:,:,ik100) * zfact * tmask(:,:,1) trc3d(:,:,:,jp_pcs0_3d + 11) = sinking (:,:,:) * zfact * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 12) = sinking2(:,:,:) * zfact * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 13) = sinksil (:,:,:) * zfact * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 14) = sinkcal (:,:,:) * zfact * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 15) = znum3d (:,:,:) * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 16) = wsbio3 (:,:,:) * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 17) = wsbio4 (:,:,:) * tmask(:,:,:) ENDIF ENDIF ! IF(ln_ctl) THEN ! print mean trends (used for debugging) WRITE(charout, FMT="('sink')") CALL prt_ctl_trc_info(charout) CALL prt_ctl_trc(tab4d=tra, mask=tmask, clinfo=ctrcnm) ENDIF ! CALL wrk_dealloc( jpi, jpj, jpk, znum3d ) ! IF( nn_timing == 1 ) CALL timing_stop('p4z_sink') ! END SUBROUTINE p4z_sink SUBROUTINE p4z_sink_init !!---------------------------------------------------------------------- !! *** ROUTINE p4z_sink_init *** !! !! ** Purpose : Initialization of sinking parameters !! Kriest parameterization only !! !! ** Method : Read the nampiskrs namelist and check the parameters !! called at the first timestep !! !! ** input : Namelist nampiskrs !!---------------------------------------------------------------------- INTEGER :: jk, jn, kiter INTEGER :: ios ! Local integer output status for namelist read REAL(wp) :: znum, zdiv REAL(wp) :: zws, zwr, zwl,wmax, znummax REAL(wp) :: zmin, zmax, zl, zr, xacc ! NAMELIST/nampiskrs/ xkr_sfact, xkr_stick , & & xkr_nnano, xkr_ndiat, xkr_nmicro, xkr_nmeso, xkr_naggr !!---------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('p4z_sink_init') ! REWIND( numnatp_ref ) ! Namelist nampiskrs in reference namelist : Pisces sinking Kriest READ ( numnatp_ref, nampiskrs, IOSTAT = ios, ERR = 901) 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nampiskrs in reference namelist', lwp ) REWIND( numnatp_cfg ) ! Namelist nampiskrs in configuration namelist : Pisces sinking Kriest READ ( numnatp_cfg, nampiskrs, IOSTAT = ios, ERR = 902 ) 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'nampiskrs in configuration namelist', lwp ) IF(lwm) WRITE ( numonp, nampiskrs ) IF(lwp) THEN WRITE(numout,*) WRITE(numout,*) ' Namelist : nampiskrs' WRITE(numout,*) ' Sinking factor xkr_sfact = ', xkr_sfact WRITE(numout,*) ' Stickiness xkr_stick = ', xkr_stick WRITE(numout,*) ' Nbr of cell in nano size class xkr_nnano = ', xkr_nnano WRITE(numout,*) ' Nbr of cell in diatoms size class xkr_ndiat = ', xkr_ndiat WRITE(numout,*) ' Nbr of cell in microzoo size class xkr_nmicro = ', xkr_nmicro WRITE(numout,*) ' Nbr of cell in mesozoo size class xkr_nmeso = ', xkr_nmeso WRITE(numout,*) ' Nbr of cell in aggregates size class xkr_naggr = ', xkr_naggr ENDIF ! max and min vertical particle speed xkr_wsbio_min = xkr_sfact * xkr_mass_min**xkr_eta xkr_wsbio_max = xkr_sfact * xkr_mass_max**xkr_eta IF (lwp) WRITE(numout,*) ' max and min vertical particle speed ', xkr_wsbio_min, xkr_wsbio_max ! ! effect of the sizes of the different living pools on particle numbers ! nano = 2um-20um -> mean size=6.32 um -> ws=2.596 -> xnum=xnnano=2.337 ! diat and microzoo = 10um-200um -> 44.7 -> 8.732 -> xnum=xndiat=3.718 ! mesozoo = 200um-2mm -> 632.45 -> 45.14 -> xnum=xnmeso=7.147 ! aggregates = 200um-10mm -> 1414 -> 74.34 -> xnum=xnaggr=9.877 ! doc aggregates = 1um ! ---------------------------------------------------------- xkr_dnano = 1. / ( xkr_massp * xkr_nnano ) xkr_ddiat = 1. / ( xkr_massp * xkr_ndiat ) xkr_dmicro = 1. / ( xkr_massp * xkr_nmicro ) xkr_dmeso = 1. / ( xkr_massp * xkr_nmeso ) xkr_daggr = 1. / ( xkr_massp * xkr_naggr ) !!--------------------------------------------------------------------- !! 'key_kriest' ??? !!--------------------------------------------------------------------- ! COMPUTATION OF THE VERTICAL PROFILE OF MAXIMUM SINKING SPEED ! Search of the maximum number of particles in aggregates for each k-level. ! Bissection Method !-------------------------------------------------------------------- IF (lwp) THEN WRITE(numout,*) WRITE(numout,*)' kriest : Compute maximum number of particles in aggregates' ENDIF xacc = 0.001_wp kiter = 50 zmin = 1.10_wp zmax = xkr_mass_max / xkr_mass_min xkr_frac = zmax DO jk = 1,jpk zl = zmin zr = zmax wmax = 0.5 * fse3t(1,1,jk) * rday * float(niter1max) / rfact2 zdiv = xkr_zeta + xkr_eta - xkr_eta * zl znum = zl - 1. zwl = xkr_wsbio_min * xkr_zeta / zdiv & & - ( xkr_wsbio_max * xkr_eta * znum * & & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & & - wmax zdiv = xkr_zeta + xkr_eta - xkr_eta * zr znum = zr - 1. zwr = xkr_wsbio_min * xkr_zeta / zdiv & & - ( xkr_wsbio_max * xkr_eta * znum * & & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & & - wmax iflag: DO jn = 1, kiter IF ( zwl == 0._wp ) THEN ; znummax = zl ELSEIF( zwr == 0._wp ) THEN ; znummax = zr ELSE znummax = ( zr + zl ) / 2. zdiv = xkr_zeta + xkr_eta - xkr_eta * znummax znum = znummax - 1. zws = xkr_wsbio_min * xkr_zeta / zdiv & & - ( xkr_wsbio_max * xkr_eta * znum * & & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & & - wmax IF( zws * zwl < 0. ) THEN ; zr = znummax ELSE ; zl = znummax ENDIF zdiv = xkr_zeta + xkr_eta - xkr_eta * zl znum = zl - 1. zwl = xkr_wsbio_min * xkr_zeta / zdiv & & - ( xkr_wsbio_max * xkr_eta * znum * & & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & & - wmax zdiv = xkr_zeta + xkr_eta - xkr_eta * zr znum = zr - 1. zwr = xkr_wsbio_min * xkr_zeta / zdiv & & - ( xkr_wsbio_max * xkr_eta * znum * & & xkr_frac**( -xkr_zeta / znum ) / zdiv ) & & - wmax ! IF ( ABS ( zws ) <= xacc ) EXIT iflag ! ENDIF ! END DO iflag xnumm(jk) = znummax IF (lwp) WRITE(numout,*) ' jk = ', jk, ' wmax = ', wmax,' xnum max = ', xnumm(jk) ! END DO ! ik100 = 10 ! last level where depth less than 100 m DO jk = jpkm1, 1, -1 IF( gdept_1d(jk) > 100. ) iksed = jk - 1 END DO IF (lwp) WRITE(numout,*) IF (lwp) WRITE(numout,*) ' Level corresponding to 100m depth ', ik100 + 1 IF (lwp) WRITE(numout,*) ! t_oce_co2_exp = 0._wp ! IF( nn_timing == 1 ) CALL timing_stop('p4z_sink_init') ! END SUBROUTINE p4z_sink_init #endif SUBROUTINE p4z_sink2( pwsink, psinkflx, jp_tra, kiter ) !!--------------------------------------------------------------------- !! *** ROUTINE p4z_sink2 *** !! !! ** Purpose : Compute the sedimentation terms for the various sinking !! particles. The scheme used to compute the trends is based !! on MUSCL. !! !! ** Method : - this ROUTINE compute not exactly the advection but the !! transport term, i.e. div(u*tra). !!--------------------------------------------------------------------- ! INTEGER , INTENT(in ) :: jp_tra ! tracer index index INTEGER , INTENT(in ) :: kiter ! number of iterations for time-splitting REAL(wp), INTENT(in ), DIMENSION(jpi,jpj,jpk) :: pwsink ! sinking speed REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: psinkflx ! sinking fluxe !! INTEGER :: ji, jj, jk, jn REAL(wp) :: zigma,zew,zign, zflx, zstep REAL(wp), POINTER, DIMENSION(:,:,:) :: ztraz, zakz, zwsink2, ztrb !!--------------------------------------------------------------------- ! IF( nn_timing == 1 ) CALL timing_start('p4z_sink2') ! ! Allocate temporary workspace CALL wrk_alloc( jpi, jpj, jpk, ztraz, zakz, zwsink2, ztrb ) zstep = rfact2 / FLOAT( kiter ) / 2. ztraz(:,:,:) = 0.e0 zakz (:,:,:) = 0.e0 ztrb (:,:,:) = trn(:,:,:,jp_tra) DO jk = 1, jpkm1 zwsink2(:,:,jk+1) = -pwsink(:,:,jk) / rday * tmask(:,:,jk+1) END DO zwsink2(:,:,1) = 0.e0 IF( lk_degrad ) THEN zwsink2(:,:,:) = zwsink2(:,:,:) * facvol(:,:,:) ENDIF ! Vertical advective flux DO jn = 1, 2 ! first guess of the slopes interior values DO jk = 2, jpkm1 ztraz(:,:,jk) = ( trn(:,:,jk-1,jp_tra) - trn(:,:,jk,jp_tra) ) * tmask(:,:,jk) END DO ztraz(:,:,1 ) = 0.0 ztraz(:,:,jpk) = 0.0 ! slopes DO jk = 2, jpkm1 DO jj = 1,jpj DO ji = 1, jpi zign = 0.25 + SIGN( 0.25, ztraz(ji,jj,jk) * ztraz(ji,jj,jk+1) ) zakz(ji,jj,jk) = ( ztraz(ji,jj,jk) + ztraz(ji,jj,jk+1) ) * zign END DO END DO END DO ! Slopes limitation DO jk = 2, jpkm1 DO jj = 1, jpj DO ji = 1, jpi zakz(ji,jj,jk) = SIGN( 1., zakz(ji,jj,jk) ) * & & MIN( ABS( zakz(ji,jj,jk) ), 2. * ABS(ztraz(ji,jj,jk+1)), 2. * ABS(ztraz(ji,jj,jk) ) ) END DO END DO END DO ! vertical advective flux DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1, jpi zigma = zwsink2(ji,jj,jk+1) * zstep / fse3w(ji,jj,jk+1) zew = zwsink2(ji,jj,jk+1) psinkflx(ji,jj,jk+1) = -zew * ( trn(ji,jj,jk,jp_tra) - 0.5 * ( 1 + zigma ) * zakz(ji,jj,jk) ) * zstep END DO END DO END DO ! ! Boundary conditions psinkflx(:,:,1 ) = 0.e0 psinkflx(:,:,jpk) = 0.e0 DO jk=1,jpkm1 DO jj = 1,jpj DO ji = 1, jpi zflx = ( psinkflx(ji,jj,jk) - psinkflx(ji,jj,jk+1) ) / fse3t(ji,jj,jk) trn(ji,jj,jk,jp_tra) = trn(ji,jj,jk,jp_tra) + zflx END DO END DO END DO ENDDO DO jk = 1,jpkm1 DO jj = 1,jpj DO ji = 1, jpi zflx = ( psinkflx(ji,jj,jk) - psinkflx(ji,jj,jk+1) ) / fse3t(ji,jj,jk) ztrb(ji,jj,jk) = ztrb(ji,jj,jk) + 2. * zflx END DO END DO END DO trn(:,:,:,jp_tra) = ztrb(:,:,:) psinkflx(:,:,:) = 2. * psinkflx(:,:,:) ! CALL wrk_dealloc( jpi, jpj, jpk, ztraz, zakz, zwsink2, ztrb ) ! IF( nn_timing == 1 ) CALL timing_stop('p4z_sink2') ! END SUBROUTINE p4z_sink2 INTEGER FUNCTION p4z_sink_alloc() !!---------------------------------------------------------------------- !! *** ROUTINE p4z_sink_alloc *** !!---------------------------------------------------------------------- ALLOCATE( wsbio3 (jpi,jpj,jpk) , wsbio4 (jpi,jpj,jpk) , wscal(jpi,jpj,jpk) , & & sinking(jpi,jpj,jpk) , sinking2(jpi,jpj,jpk) , & & sinkcal(jpi,jpj,jpk) , sinksil (jpi,jpj,jpk) , & #if defined key_kriest & xnumm(jpk) , & #else & sinkfer2(jpi,jpj,jpk) , & #endif & sinkfer(jpi,jpj,jpk) , STAT=p4z_sink_alloc ) ! IF( p4z_sink_alloc /= 0 ) CALL ctl_warn('p4z_sink_alloc : failed to allocate arrays.') ! END FUNCTION p4z_sink_alloc #else !!====================================================================== !! Dummy module : No PISCES bio-model !!====================================================================== CONTAINS SUBROUTINE p4z_sink ! Empty routine END SUBROUTINE p4z_sink #endif !!====================================================================== END MODULE p4zsink