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C $Header: /u/gcmpack/MITgcm/pkg/bling/bling_dvm.F,v 1.6 2016/11/16 16:41:50 mmazloff Exp $ |
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C $Name: $ |
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|
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#include "BLING_OPTIONS.h" |
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|
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CBOP |
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subroutine BLING_DVM( |
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I N_dvm,P_dvm,Fe_dvm, |
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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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|
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C ================================================================= |
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C | subroutine bling_dvm |
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C | o Diel Vertical Migration |
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C ================================================================= |
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|
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implicit none |
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|
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C === Global variables === |
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|
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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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|
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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 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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C PTR_O2 :: nitrate concentration |
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C mld :: mixed layer depth |
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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 PTR_O2(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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|
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C === Output === |
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C N_remindvm :: nitrogen remineralization due to diel vertical migration |
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C P_remindvm :: phosphorus remineralization due to diel vertical migration |
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C Fe_remindvm :: iron remineralization due to diel vertical migration |
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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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|
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#ifdef ALLOW_BLING |
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C === Local variables === |
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C i,j,k :: loop indices |
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INTEGER i,j,k |
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INTEGER tmp |
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_RL depth_l |
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_RL o2_upper |
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_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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_RL z_dvm |
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_RL dvm(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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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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CEOP |
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|
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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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N_remindvm(i,j,k) = 0. _d 0 |
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P_remindvm(i,j,k) = 0. _d 0 |
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Fe_remindvm(i,j,k) = 0. _d 0 |
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dvm(i,j,k) = 0. _d 0 |
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ENDDO |
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Fe_burial(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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C --------------------------------------------------------------------- |
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c DIEL VERTICAL MIGRATOR EXPORT |
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c The effect of vertically-migrating animals on the export flux of organic |
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c matter from the ocean surface is treated similarly to the scheme of |
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c Bianchi et al., Nature Geoscience 2013. |
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c This involves calculating the stationary depth of vertical migrators, using |
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c an empirical multivariate regression, and ensuring that this remains |
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c above the bottom as well as any suboxic waters. |
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c The total DVM export flux is partitioned between a swimming migratory |
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c component and the stationary component, and these are summed. |
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|
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C$TAF LOOP = parallel |
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DO j=jmin,jmax |
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C$TAF LOOP = parallel |
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DO i=imin,imax |
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|
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c Initialize |
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o2_upper = 0. |
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o2_lower = 0. |
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dz_upper = 0. |
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dz_lower = 0. |
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temp_upper = 0. |
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temp_lower = 0. |
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z_dvm_regr = 0. |
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z_dvm = 0. |
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frac_migr = 0. |
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fdvm_migr = 0. |
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fdvm_stat = 0. |
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fdvmn_vint = 0. |
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fdvmp_vint = 0. |
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fdvmfe_vint = 0. |
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|
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DO k=1,Nr |
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IF ( hFacC(i,j,k,bi,bj).gt.0. _d 0 ) THEN |
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c Calculate the depth of migration based on linear regression. |
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depth_l=-rF(k+1) |
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c Average temperature and oxygen over upper 35 m, and 140-515m. |
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c Also convert O2 to mmol m-3. |
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|
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if ( abs(depth_l) .lt. 35.) then |
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dz_upper = dz_upper + drf(k) |
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temp_upper = temp_upper + theta(i,j,k,bi,bj)*drf(k) |
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o2_upper = o2_upper + PTR_O2(i,j,k) * drf(k)*1.0 _d 3 |
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endif |
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if ( (abs(depth_l) .gt. 140.0 _d 0) .and. |
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& (abs(depth_l) .lt. 515. _d 0)) then |
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dz_lower = dz_lower + drf(k) |
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temp_lower = temp_lower + theta(i,j,k,bi,bj)*drf(k) |
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o2_lower = o2_lower + PTR_O2(i,j,k) * drf(k)*1.0 _d 3 |
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endif |
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|
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ENDIF |
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ENDDO |
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o2_upper = o2_upper / (epsln + dz_upper) |
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temp_upper = temp_upper / (epsln + dz_upper) |
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o2_lower = o2_lower / (epsln + dz_lower) |
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temp_lower = temp_lower / (epsln + dz_lower) |
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c Calculate the regression, using the constants given in Bianchi et al. (2013). |
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c The variable values are bounded to lie within reasonable ranges: |
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c O2 gradient : [-10,300] mmol/m3 |
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c Log10 Chl : [-1.8,0.85] log10(mg/m3) |
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c mld : [0,500] m |
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c T gradient : [-3,20] C |
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z_dvm_regr = 398. _d 0 |
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& - 0.56 _d 0*min(300. _d 0,max(-10. _d 0,(o2_upper - o2_lower))) |
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& - 115. _d 0*min(0.85 _d 0,max(-1.80 _d 0, |
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& log10(max(chl(i,j,1,bi,bj),chl_min)))) |
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& + 0.36 _d 0*min(500. _d 0,max(epsln,mld(i,j))) |
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& - 2.40 _d 0*min(20. _d 0,max(-3. _d 0,(temp_upper-temp_lower))) |
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|
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c Limit the depth of migration in polar winter. |
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c Use irr_mem since this is averaged over multiple days, dampening the |
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c diurnal cycle. |
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c Tapers Z_DVM to the minimum when surface irradince is below a given |
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c threshold (here 10 W/m2). |
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|
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if ( irr_mem(i,j,1,bi,bj) .lt. 10. ) then |
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z_dvm_regr = 150. _d 0 + (z_dvm_regr - 150. _d 0) * |
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& irr_mem(i,j,1,bi,bj) / 10. _d 0 |
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endif |
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c Check for suboxic water within the column. If found, set dvm |
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c stationary depth to 2 layers above it. This is not meant to |
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c represent a cessation of downward migration, but rather the |
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c requirement for aerobic DVM respiration to occur above the suboxic |
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c water, where O2 is available. |
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tmp = 0 |
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DO k=1,Nr-2 |
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IF ( (hFacC(i,j,k,bi,bj).gt.0. _d 0) .and. (tmp.eq.0)) THEN |
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z_dvm = -rf(k+1) |
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if (PTR_O2(i,j,k+2) .lt. (5. _d 0*oxic_min)) tmp = 1 |
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|
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ENDIF |
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enddo |
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c The stationary depth is constrained between 150 and 700, above any |
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c anoxic waters found, and above the bottom. |
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z_dvm = min(700. _d 0,max(150. _d 0,z_dvm_regr),z_dvm,-rf(k+1)) |
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|
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c Calculate the fraction of migratory respiration that occurs |
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c during upwards and downwards swimming. The remainder is |
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c respired near the stationary depth. |
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c Constants for swimming speed and resting time are hard-coded |
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c after Bianchi et al, Nature Geoscience 2013. |
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|
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frac_migr = max( 0.0 _d 0, min( 1.0 _d 0, (2.0 _d 0 * z_dvm) / |
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& (epsln + 0.05 _d 0 * 0.5 _d 0 * 86400. _d 0))) |
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|
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c Calculate the vertical profile shapes of DVM fluxes. |
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c These are given as the downward organic flux due to migratory |
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c DVM remineralization, defined at the bottom of each layer k. |
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|
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tmp = 0 |
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DO k=1,Nr |
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|
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IF ( (hFacC(i,j,k,bi,bj).gt.0. _d 0) .and. (tmp.eq.0)) THEN |
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|
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! First, calculate the part due to active migration above |
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! the stationary depth. |
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if (-rf(k+1) .lt. z_dvm) then |
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fdvm_migr = frac_migr / (epsln + z_dvm - (-rf(2))) * |
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& (z_dvm - (-rf(k+1)) ) |
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else |
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fdvm_migr = 0.0 |
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endif |
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|
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c Then, calculate the part at the stationary depth. |
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|
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c Approximation of the complementary error function |
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c From Numerical Recipes (F90, Ch. 6, p. 216) |
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c Returns the complementary error function erfc(x) |
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c with fractional error everywhere less than 1.2e-7 |
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x_erfcc = (-rf(k) - z_dvm) / |
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& ( (epsln + 2. _d 0 * sigma_dvm**2. _d 0)**0.5) |
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|
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z_erfcc = abs(x_erfcc) |
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|
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t_erfcc = 1. _d 0/(1. _d 0+0.5 _d 0*z_erfcc) |
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|
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erfcc = t_erfcc*exp(-z_erfcc*z_erfcc-1.26551223+t_erfcc* |
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& (1.00002368+t_erfcc*(0.37409196+t_erfcc* |
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& (.09678418+t_erfcc*(-.18628806+t_erfcc*(.27886807+ |
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& t_erfcc*(-1.13520398+t_erfcc*(1.48851587+ |
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& t_erfcc*(-0.82215223+t_erfcc*0.17087277))))))))) |
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|
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if (x_erfcc .lt. 0.0) then |
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erfcc = 2.0 - erfcc |
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endif |
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|
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fdvm_stat = (1. _d 0 - frac_migr) / 2. _d 0 * erfcc |
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|
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c Add the shapes, resulting in the 3-d DVM flux operator. If the |
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c current layer is the bottom layer, or the layer beneath the |
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c underlying layer is suboxic, all fluxes at and below the current |
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c layer remain at the initialized value of zero. This will cause all |
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c remaining DVM remineralization to occur in this layer. |
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IF (k.LT.NR-1) THEN |
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if (PTR_O2(i,j,k+2) .lt. (5. _d 0*oxic_min)) tmp = 1 |
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ENDIF |
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c!! if (k .eq. grid_kmt(i,j)) exit |
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dvm(i,j,k) = fdvm_migr + fdvm_stat |
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|
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ENDIF |
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|
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enddo |
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|
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c Sum up the total organic flux to be transported by DVM |
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|
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do k = 1, nr |
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fdvmn_vint = fdvmn_vint + N_dvm(i,j,k) * drf(k) |
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fdvmp_vint = fdvmp_vint + P_dvm(i,j,k) * drf(k) |
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fdvmfe_vint = fdvmfe_vint + Fe_dvm(i,j,k) * drf(k) |
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enddo |
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|
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c Calculate the remineralization terms as the divergence of the flux |
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|
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N_remindvm(i,j,1) = fdvmn_vint * (1 - dvm(i,j,1)) / |
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& (epsln + drf(1)) |
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P_remindvm(i,j,1) = fdvmp_vint * (1 - dvm(i,j,1)) / |
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& (epsln + drf(1)) |
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Fe_remindvm(i,j,1) = fdvmfe_vint * (1 - dvm(i,j,1)) / |
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& (epsln + drf(1)) |
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|
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do k = 2, nr |
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N_remindvm(i,j,k) = fdvmn_vint * |
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& (dvm(i,j,k-1) - dvm(i,j,k)) / (epsln + drf(k)) |
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P_remindvm(i,j,k) = fdvmp_vint * |
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& (dvm(i,j,k-1) - dvm(i,j,k)) / (epsln + drf(k)) |
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Fe_remindvm(i,j,k) = fdvmfe_vint * |
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& (dvm(i,j,k-1) - dvm(i,j,k)) / (epsln + drf(k)) |
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enddo |
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|
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enddo |
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enddo |
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|
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#endif /* ALLOW_BLING */ |
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|
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RETURN |
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END |
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