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mmazloff |
1.4 |
C $Header: /u/gcmpack/MITgcm/pkg/bling/bling_dvm.F,v 1.3 2016/05/23 21:47:56 jmc Exp $ |
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mmazloff |
1.1 |
C $Name: $ |
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#include "BLING_OPTIONS.h" |
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CBOP |
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subroutine BLING_DVM( |
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jmc |
1.2 |
I N_dvm,P_dvm,Fe_dvm, |
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mmazloff |
1.1 |
I PTR_O2, mld, |
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O N_remindvm, P_remindvm, Fe_remindvm, |
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I bi, bj, imin, imax, jmin, jmax, |
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I myIter, myTime, myThid ) |
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C ================================================================= |
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C | subroutine bling_prod |
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C | o Nutrient uptake and partitioning between organic pools. |
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jmc |
1.2 |
C | - Phytoplankton biomass-specific growth rate is calculated |
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C | as a function of light, nutrient limitation, and |
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C | temperature. |
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mmazloff |
1.1 |
C | - Biomass growth xxx |
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C | o Organic matter export, remineralization, and recycling. |
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jmc |
1.2 |
C | - Sinking particulate flux and diel migration contribute to |
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C | export. |
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1.1 |
C | - Denitrification xxx |
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C ================================================================= |
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implicit none |
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jmc |
1.2 |
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1.1 |
C === Global variables === |
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C P_sm :: Small phytoplankton biomass |
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C P_lg :: Large phytoplankton biomass |
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C P_diaz :: Diazotroph phytoplankton biomass |
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C irr_mem :: Phyto irradiance memory |
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#include "SIZE.h" |
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#include "DYNVARS.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "BLING_VARS.h" |
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#include "PTRACERS_SIZE.h" |
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#include "PTRACERS_PARAMS.h" |
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#ifdef ALLOW_AUTODIFF |
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# include "tamc.h" |
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#endif |
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C === Routine arguments === |
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C bi,bj :: tile indices |
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C iMin,iMax :: computation domain: 1rst index range |
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C jMin,jMax :: computation domain: 2nd index range |
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C myTime :: current time |
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C myIter :: current timestep |
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C myThid :: thread Id. number |
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INTEGER bi, bj, imin, imax, jmin, jmax |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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C === Input === |
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C PTR_NO3 :: nitrate concentration |
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C PTR_PO4 :: phosphate concentration |
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C PTR_FE :: iron concentration |
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C PTR_DON :: dissolved organic nitrogen concentration |
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C PTR_DOP :: dissolved organic phosphorus concentration |
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C PTR_O2 :: oxygen concentration |
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_RL PTR_NO3(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PTR_PO4(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PTR_FE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PTR_DON(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PTR_DOP(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PTR_O2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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C === Output === |
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C G_xxx :: Tendency of xxx |
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_RL G_NO3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL G_PO4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL G_FE (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL G_O2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL G_DON (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL G_DOP (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL G_CACO3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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jmc |
1.2 |
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1.1 |
#ifdef ALLOW_BLING |
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C === Local variables === |
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C i,j,k :: loop indices |
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C irr_eff :: effective irradiance |
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1.2 |
C NO3_lim :: nitrate limitation |
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C PO4_lim :: phosphate limitation |
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C Fe_lim :: iron limitation for phytoplankton |
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1.1 |
C Fe_lim_diaz :: iron limitation for diazotrophs |
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C alpha_Fe :: initial slope of the P-I curve |
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C irrk :: nut-limited efficiency of algal photosystems |
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C Pc_m :: light-saturated max photosynthesis rate for phyt |
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C Pc_m_diaz :: light-saturated max photosynthesis rate for diaz |
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C Pc_tot :: carbon-specific photosynthesis rate |
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C expkT :: temperature function |
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C mu :: net carbon-specific growth rate for phyt |
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C mu_diaz :: net carbon-specific growth rate for diaz |
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C biomass_sm :: nitrogen concentration in small phyto biomass |
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1.2 |
C biomass_lg :: nitrogen concentration in large phyto biomass |
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C N_uptake :: nitrogen uptake |
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1.1 |
C N_fix :: nitrogen fixation |
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C P_uptake :: phosphorus uptake |
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jmc |
1.2 |
C POC_flux :: carbon export flux 3d field |
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1.1 |
C PtoN :: variable ratio of phosphorus to nitrogen |
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C FetoN :: variable ratio of iron to nitrogen |
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jmc |
1.2 |
C N_spm :: particulate sinking of nitrogen |
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1.1 |
C P_spm :: particulate sinking of phosphorus |
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1.2 |
C Fe_spm :: particulate sinking of iron |
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C N_dvm :: vertical transport of nitrogen by DVM |
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C P_dvm :: vertical transport of phosphorus by DVM |
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C Fe_dvm :: vertical transport of iron by DVM |
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1.1 |
C N_recycle :: recycling of newly-produced organic nitrogen |
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C P_recycle :: recycling of newly-produced organic phosphorus |
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C Fe_recycle :: recycling of newly-produced organic iron |
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c xxx to be completed |
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jmc |
1.2 |
INTEGER i,j,k |
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mmazloff |
1.1 |
INTEGER tmp |
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_RL irr_eff(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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jmc |
1.2 |
_RL NO3_lim |
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mmazloff |
1.1 |
_RL PO4_lim |
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_RL Fe_lim |
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jmc |
1.2 |
_RL Fe_lim_diaz |
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mmazloff |
1.1 |
_RL expkT |
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_RL Pc_m |
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_RL Pc_m_diaz |
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jmc |
1.2 |
_RL irrk |
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mmazloff |
1.1 |
_RL mu(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL mu_diaz(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PtoN(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL FetoN(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL N_uptake(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL N_fix(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL P_uptake(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_uptake(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL frac_exp |
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_RL N_spm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL P_spm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_spm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL N_dvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL P_dvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_dvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL DON_prod(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL DOP_prod(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL N_recycle(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL P_recycle(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_recycle(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL POC_flux(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL NPP(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL NCP(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL CaCO3_prod(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL PONflux_u |
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_RL POPflux_u |
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_RL PFEflux_u |
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_RL CaCO3flux_u |
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_RL PONflux_l |
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_RL POPflux_l |
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_RL PFEflux_l |
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_RL CaCO3flux_l |
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_RL depth_l |
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_RL zremin |
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_RL zremin_caco3 |
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_RL wsink |
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_RL POC_sed |
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_RL Fe_sed(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL NO3_sed(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL PO4_sed(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL O2_sed(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL lig_stability |
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_RL FreeFe |
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_RL Fe_ads_inorg(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_ads_org(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL N_den_pelag(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL N_den_benthic(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL log_btm_flx |
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_RL N_reminp(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL P_reminp(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_reminp(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL CacO3_diss(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL o2_upper |
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jmc |
1.2 |
_RL o2_lower |
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_RL dz_upper |
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_RL dz_lower |
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_RL temp_upper |
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_RL temp_lower |
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_RL z_dvm_regr |
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_RL frac_migr |
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_RL fdvm_migr |
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_RL fdvm_stat |
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_RL fdvmn_vint |
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_RL fdvmp_vint |
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_RL fdvmfe_vint |
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mmazloff |
1.1 |
_RL z_dvm |
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_RL N_remindvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL P_remindvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL Fe_remindvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL dvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL mld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL Fe_burial(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL x_erfcc,z_erfcc,t_erfcc,erfcc |
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cxx order |
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CEOP |
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jmc |
1.2 |
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mmazloff |
1.1 |
c --------------------------------------------------------------------- |
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c Initialize output and diagnostics |
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DO k=1,Nr |
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DO j=jmin,jmax |
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DO i=imin,imax |
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G_NO3(i,j,k) = 0. _d 0 |
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G_PO4(i,j,k) = 0. _d 0 |
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G_FE(i,j,k) = 0. _d 0 |
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G_O2(i,j,k) = 0. _d 0 |
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G_DON(i,j,k) = 0. _d 0 |
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G_DOP(i,j,k) = 0. _d 0 |
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G_CaCO3(i,j,k) = 0. _d 0 |
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N_uptake(i,j,k) = 0. _d 0 |
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P_uptake(i,j,k) = 0. _d 0 |
| 216 |
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Fe_uptake(i,j,k) = 0. _d 0 |
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Fe_ads_org(i,j,k) = 0. _d 0 |
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Fe_ads_inorg(i,j,k) = 0. _d 0 |
| 219 |
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mu(i,j,k) = 0. _d 0 |
| 220 |
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mu_diaz(i,j,k) = 0. _d 0 |
| 221 |
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irr_eff(i,j,k) = 0. _d 0 |
| 222 |
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PtoN(i,j,k) = 0. _d 0 |
| 223 |
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FetoN(i,j,k) = 0. _d 0 |
| 224 |
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N_fix(i,j,k) = 0. _d 0 |
| 225 |
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N_spm(i,j,k) = 0. _d 0 |
| 226 |
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P_spm(i,j,k) = 0. _d 0 |
| 227 |
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Fe_spm(i,j,k) = 0. _d 0 |
| 228 |
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dvm(i,j,k) = 0. _d 0 |
| 229 |
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N_reminp(i,j,k) = 0. _d 0 |
| 230 |
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P_reminp(i,j,k) = 0. _d 0 |
| 231 |
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Fe_reminp(i,j,k) = 0. _d 0 |
| 232 |
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N_recycle(i,j,k) = 0. _d 0 |
| 233 |
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P_recycle(i,j,k) = 0. _d 0 |
| 234 |
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Fe_recycle(i,j,k) = 0. _d 0 |
| 235 |
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N_remindvm(i,j,k) = 0. _d 0 |
| 236 |
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P_remindvm(i,j,k) = 0. _d 0 |
| 237 |
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Fe_remindvm(i,j,k) = 0. _d 0 |
| 238 |
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N_den_benthic(i,j,k)= 0. _d 0 |
| 239 |
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N_den_pelag(i,j,k) = 0. _d 0 |
| 240 |
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DON_prod(i,j,k) = 0. _d 0 |
| 241 |
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DOP_prod(i,j,k) = 0. _d 0 |
| 242 |
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CaCO3_prod(i,j,k) = 0. _d 0 |
| 243 |
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CaCO3_diss(i,j,k) = 0. _d 0 |
| 244 |
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POC_flux(i,j,k) = 0. _d 0 |
| 245 |
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NPP(i,j,k) = 0. _d 0 |
| 246 |
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NCP(i,j,k) = 0. _d 0 |
| 247 |
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ENDDO |
| 248 |
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ENDDO |
| 249 |
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ENDDO |
| 250 |
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DO j=jmin,jmax |
| 251 |
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DO i=imin,imax |
| 252 |
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Fe_burial(i,j) = 0. _d 0 |
| 253 |
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NO3_sed(i,j) = 0. _d 0 |
| 254 |
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PO4_sed(i,j) = 0. _d 0 |
| 255 |
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O2_sed(i,j) = 0. _d 0 |
| 256 |
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ENDDO |
| 257 |
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ENDDO |
| 258 |
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cxx order |
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| 260 |
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C --------------------------------------------------------------------- |
| 261 |
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c DIEL VERTICAL MIGRATOR EXPORT |
| 262 |
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c The effect of vertically-migrating animals on the export flux of organic |
| 263 |
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c matter from the ocean surface is treated similarly to the scheme of |
| 264 |
jmc |
1.2 |
c Bianchi et al., Nature Geoscience 2013. |
| 265 |
mmazloff |
1.1 |
c This involves calculating the stationary depth of vertical migrators, using |
| 266 |
jmc |
1.2 |
c an empirical multivariate regression, and ensuring that this remains |
| 267 |
mmazloff |
1.1 |
c above the bottom as well as any suboxic waters. |
| 268 |
jmc |
1.2 |
c The total DVM export flux is partitioned between a swimming migratory |
| 269 |
mmazloff |
1.1 |
c component and the stationary component, and these are summed. |
| 270 |
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| 271 |
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C$TAF LOOP = parallel |
| 272 |
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DO j=jmin,jmax |
| 273 |
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C$TAF LOOP = parallel |
| 274 |
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DO i=imin,imax |
| 275 |
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| 276 |
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C ! Initialize the working variables to zero |
| 277 |
jmc |
1.2 |
o2_upper = 0. |
| 278 |
|
|
o2_lower = 0. |
| 279 |
|
|
dz_upper = 0. |
| 280 |
|
|
dz_lower = 0. |
| 281 |
|
|
temp_upper = 0. |
| 282 |
|
|
temp_lower = 0. |
| 283 |
|
|
z_dvm_regr = 0. |
| 284 |
jmc |
1.3 |
z_dvm = 0. |
| 285 |
mmazloff |
1.1 |
frac_migr = 0. |
| 286 |
jmc |
1.2 |
fdvm_migr = 0. |
| 287 |
|
|
fdvm_stat = 0. |
| 288 |
|
|
fdvmn_vint = 0. |
| 289 |
|
|
fdvmp_vint = 0. |
| 290 |
mmazloff |
1.1 |
fdvmfe_vint = 0. |
| 291 |
|
|
|
| 292 |
|
|
DO k=1,Nr |
| 293 |
|
|
|
| 294 |
|
|
IF ( hFacC(i,j,k,bi,bj).gt.0. _d 0 ) THEN |
| 295 |
|
|
|
| 296 |
|
|
! Calculate the depth of migration based on linear regression. |
| 297 |
|
|
|
| 298 |
|
|
depth_l=-rF(k+1) |
| 299 |
jmc |
1.2 |
|
| 300 |
jmc |
1.3 |
! Average temperature and oxygen over upper 35 m, and 140-515m. |
| 301 |
|
|
! Also convert O2 to mmol m-3. |
| 302 |
mmazloff |
1.1 |
|
| 303 |
|
|
if ( abs(depth_l) .lt. 35.) then |
| 304 |
|
|
dz_upper = dz_upper + drf(k) |
| 305 |
|
|
temp_upper = temp_upper + theta(i,j,k,bi,bj)*drf(k) |
| 306 |
|
|
o2_upper = o2_upper + PTR_O2(i,j,k) * drf(k)*1.0 _d 3 |
| 307 |
|
|
endif |
| 308 |
jmc |
1.2 |
if ( (abs(depth_l) .gt. 140.0 _d 0) .and. |
| 309 |
mmazloff |
1.1 |
& (abs(depth_l) .lt. 515. _d 0)) then |
| 310 |
|
|
dz_lower = dz_lower + drf(k) |
| 311 |
|
|
temp_lower = temp_lower + theta(i,j,k,bi,bj)*drf(k) |
| 312 |
|
|
o2_lower = o2_lower + PTR_O2(i,j,k) * drf(k)*1.0 _d 3 |
| 313 |
|
|
endif |
| 314 |
|
|
|
| 315 |
|
|
ENDIF |
| 316 |
|
|
ENDDO |
| 317 |
jmc |
1.2 |
|
| 318 |
mmazloff |
1.1 |
o2_upper = o2_upper / (epsln + dz_upper) |
| 319 |
|
|
temp_upper = temp_upper / (epsln + dz_upper) |
| 320 |
|
|
o2_lower = o2_lower / (epsln + dz_lower) |
| 321 |
|
|
temp_lower = temp_lower / (epsln + dz_lower) |
| 322 |
|
|
|
| 323 |
jmc |
1.3 |
! Calculate the regression, using the constants given |
| 324 |
|
|
! in Bianchi et al. (2013). |
| 325 |
|
|
! The variable values are bounded to lie within reasonable |
| 326 |
|
|
! ranges: O2 gradient : [-10,300] mmol/m3 |
| 327 |
|
|
! Log10 Chl : [-1.8,0.85] log10(mg/m3) |
| 328 |
|
|
! mld : [0,500] m |
| 329 |
|
|
! T gradient : [-3,20] C |
| 330 |
mmazloff |
1.1 |
|
| 331 |
jmc |
1.2 |
C!! I am replacing hblt_depth(i,j) with mld... not sure what hblt_depth is |
| 332 |
mmazloff |
1.1 |
|
| 333 |
|
|
#ifdef BLING_ADJOINT_SAFE |
| 334 |
|
|
z_dvm = 300. _d 0 |
| 335 |
|
|
|
| 336 |
|
|
#else |
| 337 |
|
|
|
| 338 |
jmc |
1.2 |
z_dvm_regr = 398. _d 0 |
| 339 |
mmazloff |
1.1 |
& - 0.56 _d 0*min(300. _d 0,max(-10. _d 0,(o2_upper - o2_lower))) |
| 340 |
|
|
& - 115. _d 0*min(0.85 _d 0,max(-1.80 _d 0, |
| 341 |
|
|
& log10(max(chl(i,j,1,bi,bj),chl_min)))) |
| 342 |
|
|
& + 0.36 _d 0*min(500. _d 0,max(epsln,mld(i,j))) |
| 343 |
|
|
& - 2.40 _d 0*min(20. _d 0,max(-3. _d 0,(temp_upper-temp_lower))) |
| 344 |
|
|
|
| 345 |
|
|
c ! Limit the depth of migration in polar winter. |
| 346 |
|
|
c ! Use irr_mem since this is averaged over multiple days, dampening the diurnal cycle. |
| 347 |
|
|
c ! Tapers Z_DVM to the minimum when surface irradince is below a given threshold (here 10 W/m2). |
| 348 |
|
|
|
| 349 |
jmc |
1.2 |
if ( irr_mem(i,j,1,bi,bj) .lt. 10. ) then |
| 350 |
|
|
z_dvm_regr = 150. _d 0 + (z_dvm_regr - 150. _d 0) * |
| 351 |
mmazloff |
1.1 |
& irr_mem(i,j,1,bi,bj) / 10. _d 0 |
| 352 |
jmc |
1.2 |
endif |
| 353 |
mmazloff |
1.1 |
|
| 354 |
jmc |
1.2 |
C Check for suboxic water within the column. If found, set dvm |
| 355 |
|
|
C stationary depth to 2 layers above it. This is not meant to |
| 356 |
|
|
C represent a cessation of downward migration, but rather the |
| 357 |
|
|
C requirement for aerobic DVM respiration to occur above the suboxic |
| 358 |
mmazloff |
1.1 |
C water, where O2 is available. |
| 359 |
jmc |
1.2 |
|
| 360 |
mmazloff |
1.1 |
tmp = 0 |
| 361 |
|
|
DO k=1,Nr-2 |
| 362 |
|
|
|
| 363 |
|
|
IF ( (hFacC(i,j,k,bi,bj).gt.0. _d 0) .and. (tmp.eq.0)) THEN |
| 364 |
|
|
|
| 365 |
|
|
z_dvm = -rf(k+1) |
| 366 |
|
|
if (PTR_O2(i,j,k+2) .lt. (5. _d 0*oxic_min)) tmp = 1 |
| 367 |
jmc |
1.2 |
|
| 368 |
mmazloff |
1.1 |
ENDIF |
| 369 |
|
|
|
| 370 |
jmc |
1.2 |
enddo |
| 371 |
|
|
|
| 372 |
|
|
C The stationary depth is constrained between 150 and 700, above any |
| 373 |
mmazloff |
1.1 |
C anoxic waters found, and above the bottom. |
| 374 |
|
|
|
| 375 |
|
|
z_dvm = min(700. _d 0,max(150. _d 0,z_dvm_regr),z_dvm,-rf(k+1)) |
| 376 |
|
|
c!! bling%zbot(i,j,grid_kmt(i,j))) * grid_tmask(i,j,1) |
| 377 |
|
|
c!! what is grid_mkt?? |
| 378 |
|
|
|
| 379 |
|
|
#endif |
| 380 |
|
|
|
| 381 |
jmc |
1.3 |
! Calculate the fraction of migratory respiration that occurs |
| 382 |
|
|
! during upwards and downwards swimming. The remainder is |
| 383 |
|
|
! respired near the stationary depth. |
| 384 |
|
|
! Constants for swimming speed and resting time are hard-coded |
| 385 |
|
|
! after Bianchi et al, Nature Geoscience 2013. |
| 386 |
mmazloff |
1.1 |
|
| 387 |
|
|
frac_migr = max( 0.0 _d 0, min( 1.0 _d 0, (2.0 _d 0 * z_dvm) / |
| 388 |
|
|
& (epsln + 0.05 _d 0 * 0.5 _d 0 * 86400. _d 0))) |
| 389 |
|
|
|
| 390 |
jmc |
1.3 |
! Calculate the vertical profile shapes of DVM fluxes. |
| 391 |
|
|
! These are given as the downward organic flux due to migratory |
| 392 |
|
|
! DVM remineralization, defined at the bottom of each layer k. |
| 393 |
mmazloff |
1.1 |
|
| 394 |
|
|
tmp = 0 |
| 395 |
|
|
DO k=1,Nr |
| 396 |
|
|
|
| 397 |
|
|
IF ( (hFacC(i,j,k,bi,bj).gt.0. _d 0) .and. (tmp.eq.0)) THEN |
| 398 |
|
|
|
| 399 |
jmc |
1.3 |
! First, calculate the part due to active migration above |
| 400 |
|
|
! the stationary depth. |
| 401 |
jmc |
1.2 |
if (-rf(k+1) .lt. z_dvm) then |
| 402 |
|
|
fdvm_migr = frac_migr / (epsln + z_dvm - (-rf(2))) * |
| 403 |
mmazloff |
1.1 |
& (z_dvm - (-rf(k+1)) ) |
| 404 |
jmc |
1.2 |
else |
| 405 |
mmazloff |
1.1 |
fdvm_migr = 0.0 |
| 406 |
jmc |
1.2 |
endif |
| 407 |
mmazloff |
1.1 |
|
| 408 |
|
|
! Then, calculate the part at the stationary depth. |
| 409 |
jmc |
1.2 |
c fdvm_stat = (1. - frac_migr) / 2. * erfcc((-rf(k) - z_dvm) / |
| 410 |
mmazloff |
1.1 |
c & ( (epsln + 2. * sigma_dvm**2.)**0.5)) |
| 411 |
|
|
|
| 412 |
|
|
c ! Approximation of the complementary error function |
| 413 |
|
|
c ! From Numerical Recipes (F90, Ch. 6, p. 216) |
| 414 |
|
|
c ! Returns the complementary error function erfc(x) |
| 415 |
jmc |
1.2 |
c with fractional error everywhere less than 1.2e-7 |
| 416 |
|
|
x_erfcc = (-rf(k) - z_dvm) / |
| 417 |
mmazloff |
1.1 |
& ( (epsln + 2. _d 0 * sigma_dvm**2. _d 0)**0.5) |
| 418 |
|
|
|
| 419 |
|
|
z_erfcc = abs(x_erfcc) |
| 420 |
|
|
|
| 421 |
|
|
t_erfcc = 1. _d 0/(1. _d 0+0.5 _d 0*z_erfcc) |
| 422 |
|
|
|
| 423 |
|
|
erfcc = t_erfcc*exp(-z_erfcc*z_erfcc-1.26551223+t_erfcc* |
| 424 |
|
|
& (1.00002368+t_erfcc*(0.37409196+t_erfcc* |
| 425 |
|
|
& (.09678418+t_erfcc*(-.18628806+t_erfcc*(.27886807+ |
| 426 |
|
|
& t_erfcc*(-1.13520398+t_erfcc*(1.48851587+ |
| 427 |
|
|
& t_erfcc*(-0.82215223+t_erfcc*0.17087277))))))))) |
| 428 |
|
|
|
| 429 |
|
|
if (x_erfcc .lt. 0.0) then |
| 430 |
|
|
erfcc = 2.0 - erfcc |
| 431 |
|
|
endif |
| 432 |
jmc |
1.2 |
|
| 433 |
|
|
fdvm_stat = (1. _d 0 - frac_migr) / 2. _d 0 * erfcc |
| 434 |
|
|
|
| 435 |
|
|
C Add the shapes, resulting in the 3-d DVM flux operator. If the |
| 436 |
|
|
C current layer is the bottom layer, or the layer beneath the |
| 437 |
|
|
C underlying layer is suboxic, all fluxes at and below the current |
| 438 |
|
|
C layer remain at the initialized value of zero. This will cause all |
| 439 |
mmazloff |
1.1 |
C remaining DVM remineralization to occur in this layer. |
| 440 |
|
|
IF (k.LT.NR-1) THEN |
| 441 |
|
|
if (PTR_O2(i,j,k+2) .lt. (5. _d 0*oxic_min)) tmp = 1 |
| 442 |
|
|
ENDIF |
| 443 |
|
|
c!! if (k .eq. grid_kmt(i,j)) exit |
| 444 |
|
|
dvm(i,j,k) = fdvm_migr + fdvm_stat |
| 445 |
jmc |
1.2 |
|
| 446 |
mmazloff |
1.1 |
ENDIF |
| 447 |
|
|
|
| 448 |
jmc |
1.2 |
enddo |
| 449 |
|
|
|
| 450 |
|
|
c Sum up the total organic flux to be transported by DVM |
| 451 |
mmazloff |
1.1 |
|
| 452 |
jmc |
1.2 |
do k = 1, nr |
| 453 |
mmazloff |
1.1 |
fdvmn_vint = fdvmn_vint + N_dvm(i,j,k) * drf(k) |
| 454 |
|
|
fdvmp_vint = fdvmp_vint + P_dvm(i,j,k) * drf(k) |
| 455 |
|
|
fdvmfe_vint = fdvmfe_vint + Fe_dvm(i,j,k) * drf(k) |
| 456 |
jmc |
1.2 |
enddo |
| 457 |
mmazloff |
1.1 |
|
| 458 |
|
|
c Calculate the remineralization terms as the divergence of the flux |
| 459 |
|
|
|
| 460 |
|
|
N_remindvm(i,j,1) = fdvmn_vint * (1 - dvm(i,j,1)) / |
| 461 |
|
|
& (epsln + drf(1)) |
| 462 |
|
|
P_remindvm(i,j,1) = fdvmp_vint * (1 - dvm(i,j,1)) / |
| 463 |
|
|
& (epsln + drf(1)) |
| 464 |
jmc |
1.2 |
Fe_remindvm(i,j,1) = fdvmfe_vint * (1 - dvm(i,j,1)) / |
| 465 |
mmazloff |
1.1 |
& (epsln + drf(1)) |
| 466 |
|
|
|
| 467 |
|
|
do k = 2, nr |
| 468 |
jmc |
1.2 |
N_remindvm(i,j,k) = fdvmn_vint * |
| 469 |
mmazloff |
1.1 |
& (dvm(i,j,k-1) - dvm(i,j,k)) / (epsln + drf(k)) |
| 470 |
jmc |
1.2 |
P_remindvm(i,j,k) = fdvmp_vint * |
| 471 |
mmazloff |
1.1 |
& (dvm(i,j,k-1) - dvm(i,j,k)) / (epsln + drf(k)) |
| 472 |
|
|
Fe_remindvm(i,j,k) = fdvmfe_vint * |
| 473 |
|
|
& (dvm(i,j,k-1) - dvm(i,j,k)) / (epsln + drf(k)) |
| 474 |
jmc |
1.2 |
enddo |
| 475 |
mmazloff |
1.1 |
|
| 476 |
jmc |
1.2 |
enddo |
| 477 |
mmazloff |
1.1 |
enddo |
| 478 |
|
|
|
| 479 |
|
|
c --------------------------------------------------------------------- |
| 480 |
|
|
|
| 481 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
| 482 |
|
|
IF ( useDiagnostics ) THEN |
| 483 |
|
|
|
| 484 |
|
|
CALL DIAGNOSTICS_FILL(Fe_dvm,'BLGFEDVM',0,Nr,2,bi,bj,myThid) |
| 485 |
|
|
CALL DIAGNOSTICS_FILL(N_dvm,'BLGNDVM ',0,Nr,2,bi,bj,myThid) |
| 486 |
|
|
CALL DIAGNOSTICS_FILL(P_dvm,'BLGPDVM ',0,Nr,2,bi,bj,myThid) |
| 487 |
|
|
CALL DIAGNOSTICS_FILL(dvm,'BLGDVM ',0,Nr,2,bi,bj,myThid) |
| 488 |
|
|
|
| 489 |
|
|
ENDIF |
| 490 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
| 491 |
|
|
|
| 492 |
|
|
#endif /* ALLOW_BLING */ |
| 493 |
|
|
|
| 494 |
|
|
RETURN |
| 495 |
|
|
END |
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