MODULE p4zsink !!====================================================================== !! *** MODULE p4zsink *** !! TOP : PISCES Compute 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 #if defined key_pisces !!---------------------------------------------------------------------- !! p4z_sink : Compute vertical flux of particulate matter due to gravitational sinking !!---------------------------------------------------------------------- USE trc USE oce_trc ! USE sms_pisces USE prtctl_trc USE iom IMPLICIT NONE PRIVATE PUBLIC p4z_sink ! called in p4zbio.F90 !! * Shared module variables REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: wsbio3, wsbio4, & !: POC and GOC sinking speeds wscal !: Calcite and BSi sinking speeds !! * Module variables REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: sinking, sinking2, & !: POC sinking fluxes (different meanings depending on the parameterization sinkcal, sinksil, & !: CaCO3 and BSi sinking fluxes sinkfer !: Small BFe sinking flux REAL(wp) :: & xstep , xstep2 !: Time step duration for biology INTEGER :: & iksed = 10 ! #if defined key_kriest REAL(wp) :: & xkr_sfact = 250. , & !: Sinking factor xkr_stick = 0.2 , & !: Stickiness xkr_nnano = 2.337 , & !: Nbr of cell in nano size class xkr_ndiat = 3.718 , & !: Nbr of cell in diatoms size class xkr_nmeso = 7.147 , & !: Nbr of cell in mesozoo size class xkr_naggr = 9.877 !: Nbr of cell in aggregates size class REAL(wp) :: & xkr_frac REAL(wp), PUBLIC :: & xkr_dnano , & !: Size of particles in nano pool xkr_ddiat , & !: Size of particles in diatoms pool xkr_dmeso , & !: Size of particles in mesozoo pool xkr_daggr , & !: Size of particles in aggregates pool xkr_wsbio_min , & !: min vertical particle speed xkr_wsbio_max !: max vertical particle speed REAL(wp), PUBLIC, DIMENSION(jpk) :: & !: xnumm !: maximum number of particles in aggregates #endif #if ! defined key_kriest REAL(wp), DIMENSION(jpi,jpj,jpk) :: & !: sinkfer2 !: Big Fe sinking flux #endif !!* Substitution # include "top_substitute.h90" !!---------------------------------------------------------------------- !! NEMO/TOP 2.0 , LOCEAN-IPSL (2007) !! $Id$ !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) !!---------------------------------------------------------------------- CONTAINS #if defined 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 REAL(wp) :: zagg1, zagg2, zagg3, zagg4, zagg5, zaggsi, zaggsh REAL(wp) :: zagg , zaggdoc, znumdoc REAL(wp) :: znum , zeps, zfm, zgm, zsm REAL(wp) :: zdiv , zdiv1, zdiv2, zdiv3, zdiv4, zdiv5 REAL(wp) :: zval1, zval2, zval3, zval4 #if defined key_trc_diaadd REAL(wp) :: zrfact2 INTEGER :: ik1 #endif REAL(wp), DIMENSION(jpi,jpj,jpk) :: znum3d CHARACTER (len=25) :: charout !!--------------------------------------------------------------------- IF( ( kt * jnt ) == nittrc000 ) THEN CALL p4z_sink_init ! Initialization (first time-step only) xstep = rfact2 / rday ! Time step duration for biology xstep2 = rfact2 / 2. ENDIF ! 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(:,:,:), 50. ) ! 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 ! ----------------------------------------------------- CALL p4z_sink2( wsbio3, sinking , jppoc ) CALL p4z_sink2( wsbio4, sinking2, jpnum ) CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) CALL p4z_sink2( wscal , sinksil , jpdsi ) CALL p4z_sink2( wscal , sinkcal , jpcal ) ! 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)) & # if defined key_off_degrad & *facvol(ji,jj,jk) & # endif & ) 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)) & # if defined key_off_degrad & *facvol(ji,jj,jk) & # endif & ) zagg3 = ( 0.163*trn(ji,jj,jk,jpnum)**2*zfm**2*8. * xkr_mass_max**3 & # if defined key_off_degrad & *facvol(ji,jj,jk) & # endif & ) zaggsh = ( zagg1 + zagg2 + zagg3 ) * rfact2 * xdiss(ji,jj,jk) / 1000. ! 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) ) & # if defined key_off_degrad & *facvol(ji,jj,jk) & # endif & ) 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) & # if defined key_off_degrad & *facvol(ji,jj,jk) & # endif & ) zaggsi = ( zagg4 + zagg5 ) * xstep / 10. zagg = 0.5 * xkr_stick * ( zaggsh + zaggsi ) ! Aggregation of DOC to small particles ! -------------------------------------- zaggdoc = ( 0.4 * trn(ji,jj,jk,jpdoc) & & + 1018. * trn(ji,jj,jk,jppoc) ) * xstep & # if defined key_off_degrad & * facvol(ji,jj,jk) & # endif & * xdiss(ji,jj,jk) * trn(ji,jj,jk,jpdoc) znumdoc = trn(ji,jj,jk,jpnum) / ( trn(ji,jj,jk,jppoc) + rtrn ) tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) + zaggdoc tra(ji,jj,jk,jpnum) = tra(ji,jj,jk,jpnum) + zaggdoc * znumdoc - zagg tra(ji,jj,jk,jpdoc) = tra(ji,jj,jk,jpdoc) - zaggdoc ENDIF END DO END DO END DO #if defined key_trc_diaadd zrfact2 = 1.e3 * rfact2r ik1 = iksed + 1 # if ! defined key_iomput trc2d(:,: ,jp_pcs0_2d + 4) = sinking (:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 5) = sinking2(:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 6) = sinkfer (:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 7) = sinksil (:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,: ,jp_pcs0_2d + 8) = sinkcal (:,:,ik1) * zrfact2 * tmask(:,:,1) trc3d(:,:,:,jp_pcs0_3d + 11) = sinking (:,:,:) * zrfact2 * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 12) = sinking2(:,:,:) * zrfact2 * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 13) = sinksil (:,:,:) * zrfact2 * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 14) = sinkcal (:,:,:) * zrfact2 * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 15) = znum3d (:,:,:) * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 16) = wsbio3 (:,:,:) * tmask(:,:,:) trc3d(:,:,:,jp_pcs0_3d + 17) = wsbio4 (:,:,:) * tmask(:,:,:) #else IF( jnt == nrdttrc ) then CALL iom_put( "POCFlx" , sinking (:,:,:) * zrfact2 * tmask(:,:,:) ) ! POC export CALL iom_put( "NumFlx" , sinking2 (:,:,:) * zrfact2 * tmask(:,:,:) ) ! Num export CALL iom_put( "SiFlx" , sinksil (:,:,:) * zrfact2 * tmask(:,:,:) ) ! Silica export CALL iom_put( "CaCO3Flx", sinkcal (:,:,:) * zrfact2 * tmask(:,:,:) ) ! Calcite export CALL iom_put( "xnum" , znum3d (:,:,:) * tmask(:,:,:) ) ! Number of particles in aggregats CALL iom_put( "W1" , wsbio3 (:,:,:) * tmask(:,:,:) ) ! sinking speed of POC CALL iom_put( "W2" , wsbio4 (:,:,:) * tmask(:,:,:) ) ! sinking speed of aggregats CALL iom_put( "PMO" , sinking (:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! POC export at 100m CALL iom_put( "PMO2" , sinking2(:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! Num export at 100m CALL iom_put( "ExpFe1" , sinkfer (:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! Export of iron at 100m CALL iom_put( "ExpSi" , sinksil (:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! export of silica at 100m CALL iom_put( "ExpCaCO3", sinkcal (:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! export of calcite at 100m ENDIF # 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 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 (nittrc000) !! !! ** input : Namelist nampiskrs !! !!---------------------------------------------------------------------- INTEGER :: jk, jn, kiter 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_nmeso, xkr_naggr !!---------------------------------------------------------------------- REWIND( numnat ) ! read nampiskrs READ ( numnat, 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 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 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_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 !-------------------------------------------------------------------- WRITE(numout,*) WRITE(numout,*)' kriest : Compute maximum number of particles in aggregates' xacc = 0.001 kiter = 50 zmin = 1.10 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 / 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.e0 ) THEN znummax = zl ELSE IF ( zwr == 0.e0 ) 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 WRITE(numout,*) ' jk = ', jk, ' wmax = ', wmax,' xnum max = ', xnumm(jk) END DO END SUBROUTINE p4z_sink_init #else 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 REAL(wp) :: zagg1, zagg2, zagg3, zagg4 REAL(wp) :: zagg , zaggfe, zaggdoc, zaggdoc2 REAL(wp) :: zfact, zwsmax #if defined key_trc_dia3d REAL(wp) :: zrfact2 INTEGER :: ik1 #endif CHARACTER (len=25) :: charout !!--------------------------------------------------------------------- IF( ( kt * jnt ) == nittrc000 ) THEN xstep = rfact2 / rday ! Timestep duration for biology xstep2 = rfact2 / 2. ENDIF ! 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 zfact = MAX( 0., fsdepw(ji,jj,jk+1)-hmld(ji,jj) ) / 4000. 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 ! ! OA Below, this is garbage. the ideal would be to find a time-splitting ! OA algorithm that does not increase the computing cost by too much ! OA In ROMS, I have included a time-splitting procedure. But it is ! OA too expensive as the loop is computed globally. Thus, a small e3t ! OA at one place determines the number of subtimesteps globally ! OA AWFULLY EXPENSIVE !! Not able to find a better approach. Damned !! DO jk = 1,jpkm1 DO jj = 1, jpj DO ji = 1, jpi zwsmax = 0.8 * fse3t(ji,jj,jk) / xstep wsbio4(ji,jj,jk) = MIN( wsbio4(ji,jj,jk), zwsmax ) wsbio3(ji,jj,jk) = MIN( wsbio3(ji,jj,jk), zwsmax ) END DO END DO END DO wscal(:,:,:) = wsbio4(:,:,:) ! INITIALIZE 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 ! ----------------------------------------------------- CALL p4z_sink2( wsbio3, sinking , jppoc ) CALL p4z_sink2( wsbio3, sinkfer , jpsfe ) CALL p4z_sink2( wsbio4, sinking2, jpgoc ) CALL p4z_sink2( wsbio4, sinkfer2, jpbfe ) CALL p4z_sink2( wsbio4, sinksil , jpdsi ) CALL p4z_sink2( wscal , sinkcal , jpcal ) ! Exchange between organic matter compartments due to ! coagulation/disaggregation ! --------------------------------------------------- DO jk = 1, jpkm1 DO jj = 1, jpj DO ji = 1, jpi zfact = xstep * xdiss(ji,jj,jk) ! Part I : Coagulation dependent on turbulence # if defined key_off_degrad zagg1 = 940.* zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) * facvol(ji,jj,jk) zagg2 = 1.054e4 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) * facvol(ji,jj,jk) # else zagg1 = 940.* zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) zagg2 = 1.054e4 * zfact * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) # endif ! Part II : Differential settling ! Aggregation of small into large particles # if defined key_off_degrad zagg3 = 0.66 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) * facvol(ji,jj,jk) zagg4 = 0.e0 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) * facvol(ji,jj,jk) # else zagg3 = 0.66 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jpgoc) zagg4 = 0.e0 * xstep * trn(ji,jj,jk,jppoc) * trn(ji,jj,jk,jppoc) # endif zagg = zagg1 + zagg2 + zagg3 + zagg4 zaggfe = zagg * trn(ji,jj,jk,jpsfe) / ( trn(ji,jj,jk,jppoc) + rtrn ) ! Aggregation of DOC to small particles #if defined key_off_degrad zaggdoc = ( 80.* trn(ji,jj,jk,jpdoc) + 698. * trn(ji,jj,jk,jppoc) ) & & * facvol(ji,jj,jk) * zfact * trn(ji,jj,jk,jpdoc) zaggdoc2 = 1.05e4 * zfact * trn(ji,jj,jk,jpgoc) & & * facvol(ji,jj,jk) * trn(ji,jj,jk,jpdoc) #else zaggdoc = ( 80.* trn(ji,jj,jk,jpdoc) + 698. * trn(ji,jj,jk,jppoc) ) & & * zfact * trn(ji,jj,jk,jpdoc) zaggdoc2 = 1.05e4 * zfact * trn(ji,jj,jk,jpgoc) * trn(ji,jj,jk,jpdoc) #endif ! Update the trends tra(ji,jj,jk,jppoc) = tra(ji,jj,jk,jppoc) - zagg + zaggdoc 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 ! END DO END DO END DO #if defined key_trc_diaadd zrfact2 = 1.e3 * rfact2r ik1 = iksed + 1 # if ! defined key_iomput trc2d(:,:,jp_pcs0_2d + 4) = sinking (:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 5) = sinking2(:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 6) = sinkfer (:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 7) = sinkfer2(:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 8) = sinksil (:,:,ik1) * zrfact2 * tmask(:,:,1) trc2d(:,:,jp_pcs0_2d + 9) = sinkcal (:,:,ik1) * zrfact2 * tmask(:,:,1) # else IF( jnt == nrdttrc ) then CALL iom_put( "EPC100" , ( sinking(:,:,ik1) + sinking2(:,:,ik1) ) * zrfact2 * tmask(:,:,1) ) ! Export of carbon at 100m CALL iom_put( "EPFE100" , ( sinkfer(:,:,ik1) + sinkfer2(:,:,ik1) ) * zrfact2 * tmask(:,:,1) ) ! Export of iron at 100m CALL iom_put( "EPCAL100", sinkcal(:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! Export of calcite at 100m CALL iom_put( "EPSI100" , sinksil(:,:,ik1) * zrfact2 * tmask(:,:,1) ) ! Export of biogenic silica at 100m #if defined key_diaar5 CALL iom_put( "EXPC" , ( sinking(:,:,: ) + sinking2(:,:,: ) ) * zrfact2 * tmask(:,:,:) ) ! Export of carbon CALL iom_put( "EXPFE" , ( sinkfer(:,:,: ) + sinkfer2(:,:,: ) ) * zrfact2 * tmask(:,:,:) ) ! Export of iron CALL iom_put( "EXPCAL" , sinkcal(:,:,: ) * zrfact2 * tmask(:,:,:) ) ! Export of calcite CALL iom_put( "EXPSI" , sinksil(:,:,: ) * zrfact2 * tmask(:,:,:) ) ! Export of biogenic #endif ENDIF #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 END SUBROUTINE p4z_sink #endif SUBROUTINE p4z_sink2( pwsink, psinkflx, jp_tra ) !!--------------------------------------------------------------------- !! *** 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 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 REAL(wp), DIMENSION(jpi,jpj,jpk) :: ztraz, zakz REAL(wp), DIMENSION(jpi,jpj,jpk) :: zwsink2 !!--------------------------------------------------------------------- ztraz(:,:,:) = 0.e0 zakz (:,:,:) = 0.e0 DO jk = 1, jpkm1 # if defined key_off_degrad zwsink2(:,:,jk+1) = -pwsink(:,:,jk) / rday * tmask(:,:,jk+1) * facvol(:,:,jk) # else zwsink2(:,:,jk+1) = -pwsink(:,:,jk) / rday * tmask(:,:,jk+1) # endif END DO zwsink2(:,:,1) = 0.e0 ! 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) * xstep2 / 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) ) * xstep2 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) trb(ji,jj,jk,jp_tra) = trb(ji,jj,jk,jp_tra) + 2. * zflx END DO END DO END DO trn(:,:,:,jp_tra) = trb(:,:,:,jp_tra) psinkflx(:,:,:) = 2. * psinkflx(:,:,:) ! END SUBROUTINE p4z_sink2 #else !!====================================================================== !! Dummy module : No PISCES bio-model !!====================================================================== CONTAINS SUBROUTINE p4z_sink ! Empty routine END SUBROUTINE p4z_sink #endif !!====================================================================== END MODULE p4zsink