C $Header: /u/gcmpack/MITgcm/pkg/dic/dic_surfforcing.F,v 1.30 2015/01/11 20:02:41 jmc Exp $
C $Name: $
#include "DIC_OPTIONS.h"
#include "PTRACERS_OPTIONS.h"
CBOP
C !ROUTINE: DIC_SURFFORCING
C !INTERFACE: ==========================================================
SUBROUTINE DIC_SURFFORCING( PTR_CO2 , PTR_ALK, PTR_PO4, GDC,
I bi,bj,iMin,iMax,jMin,jMax,
I myIter,myTime,myThid)
C !DESCRIPTION:
C Calculate the carbon air-sea flux terms
C following external_forcing_dic.F (OCMIP run) from Mick
C !USES: ===============================================================
IMPLICIT NONE
#include "SIZE.h"
#include "DYNVARS.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"
#include "FFIELDS.h"
#include "DIC_VARS.h"
C !INPUT PARAMETERS: ===================================================
C myThid :: thread number
C myIter :: current timestep
C myTime :: current time
c PTR_CO2 :: DIC tracer field
INTEGER myIter, myThid
_RL myTime
_RL PTR_CO2(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
_RL PTR_ALK(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
_RL PTR_PO4(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr)
INTEGER iMin,iMax,jMin,jMax, bi, bj
C !OUTPUT PARAMETERS: ===================================================
c GDC :: tendency due to air-sea exchange
_RL GDC(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
#ifdef ALLOW_PTRACERS
C !LOCAL VARIABLES: ====================================================
INTEGER i,j, kLev
_RL co3dummy
C Number of iterations for pCO2 solvers...
C Solubility relation coefficients
_RL SchmidtNoDIC(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL pCO2sat(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL Kwexch(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL pisvel(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
C local variables for carbon chem
_RL surfalk(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL surfphos(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL surfsi(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL surftemp(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL surfsalt(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL surfdic(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
#ifdef ALLOW_OLD_VIRTUALFLUX
_RL VirtualFlux(1-OLx:sNx+OLx,1-OLy:sNy+OLy)
#endif
CEOP
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
kLev=1
cc if coupled to atmsopheric model, use the
cc Co2 value passed from the coupler
c#ifndef USE_ATMOSCO2
cC PRE-INDUSTRIAL STEADY STATE pCO2 = 278.0 ppmv
c DO j=1-OLy,sNy+OLy
c DO i=1-OLx,sNx+OLx
c AtmospCO2(i,j,bi,bj)=278.0 _d -6
c ENDDO
c ENDDO
c#endif
C =================================================================
C determine inorganic carbon chem coefficients
DO j=jMin,jMax
DO i=iMin,iMax
#ifdef DIC_BIOTIC
cQQQQ check ptracer numbers
#ifdef DIC_BOUNDS
surfalk(i,j) = max(0.4 _d 0,
& min(10. _d 0,PTR_ALK(i,j,klev)))
& * maskC(i,j,kLev,bi,bj)
surfphos(i,j) = max(1.0 _d -11,
& min(1. _d -1,PTR_PO4(i,j,klev)))
& * maskC(i,j,kLev,bi,bj)
#else
surfalk(i,j) = PTR_ALK(i,j,klev)
& * maskC(i,j,kLev,bi,bj)
surfphos(i,j) = PTR_PO4(i,j,klev)
& * maskC(i,j,kLev,bi,bj)
#endif
#else
surfalk(i,j) = 2.366595 _d 0 * salt(i,j,kLev,bi,bj)/gsm_s
& * maskC(i,j,kLev,bi,bj)
surfphos(i,j) = 5.1225 _d -4 * maskC(i,j,kLev,bi,bj)
#endif
C FOR NON-INTERACTIVE Si
surfsi(i,j) = SILICA(i,j,bi,bj) * maskC(i,j,kLev,bi,bj)
#ifdef DIC_BOUNDS
surftemp(i,j) = max(-4. _d 0,
& min(50. _d 0, theta(i,j,kLev,bi,bj)))
surfsalt(i,j) = max(4. _d 0,
& min(50. _d 0, salt(i,j,kLev,bi,bj)))
surfdic(i,j) = max(0.4 _d 0,
& min(10. _d 0, PTR_CO2(i,j,kLev)))
#else
surftemp(i,j) = theta(i,j,kLev,bi,bj)
surfsalt(i,j) = salt(i,j,kLev,bi,bj)
surfdic(i,j) = PTR_CO2(i,j,kLev)
#endif
ENDDO
ENDDO
CALL CARBON_COEFFS(
I surftemp,surfsalt,
I bi,bj,iMin,iMax,jMin,jMax,myThid)
C====================================================================
DO j=jMin,jMax
DO i=iMin,iMax
C Compute AtmosP and Kwexch_Pre which are re-used for flux of O2
#ifdef USE_PLOAD
C Convert anomalous pressure pLoad (in Pa) from atmospheric model
C to total pressure (in Atm)
C Note: it is assumed the reference atmospheric pressure is 1Atm=1013mb
C rather than the actual ref. pressure from Atm. model so that on
C average AtmosP is about 1 Atm.
AtmosP(i,j,bi,bj)= 1. _d 0 + pLoad(i,j,bi,bj)/Pa2Atm
#endif
C Pre-compute part of exchange coefficient: pisvel*(1-fice)
C Schmidt number is accounted for later
pisvel(i,j)=0.337 _d 0 *wind(i,j,bi,bj)**2/3.6 _d 5
Kwexch_Pre(i,j,bi,bj) = pisvel(i,j)
& * (1. _d 0 - FIce(i,j,bi,bj))
ENDDO
ENDDO
c pCO2 solver...
C$TAF LOOP = parallel
DO j=jMin,jMax
C$TAF LOOP = parallel
DO i=iMin,iMax
IF ( maskC(i,j,kLev,bi,bj).NE.0. _d 0 ) THEN
CALL CALC_PCO2_APPROX(
I surftemp(i,j),surfsalt(i,j),
I surfdic(i,j), surfphos(i,j),
I surfsi(i,j),surfalk(i,j),
I ak1(i,j,bi,bj),ak2(i,j,bi,bj),
I ak1p(i,j,bi,bj),ak2p(i,j,bi,bj),ak3p(i,j,bi,bj),
I aks(i,j,bi,bj),akb(i,j,bi,bj),akw(i,j,bi,bj),
I aksi(i,j,bi,bj),akf(i,j,bi,bj),
I ak0(i,j,bi,bj), fugf(i,j,bi,bj),
I ff(i,j,bi,bj),
I bt(i,j,bi,bj),st(i,j,bi,bj),ft(i,j,bi,bj),
U pH(i,j,bi,bj),pCO2(i,j,bi,bj),co3dummy,
I i,j,kLev,bi,bj,myIter,myThid )
ELSE
pCO2(i,j,bi,bj)=0. _d 0
ENDIF
ENDDO
ENDDO
DO j=jMin,jMax
DO i=iMin,iMax
IF ( maskC(i,j,kLev,bi,bj).NE.0. _d 0 ) THEN
C calculate SCHMIDT NO. for CO2
SchmidtNoDIC(i,j) =
& sca1
& + sca2 * theta(i,j,kLev,bi,bj)
& + sca3 * theta(i,j,kLev,bi,bj)*theta(i,j,kLev,bi,bj)
& + sca4 * theta(i,j,kLev,bi,bj)*theta(i,j,kLev,bi,bj)
& *theta(i,j,kLev,bi,bj)
c make sure Schmidt number is not negative (will happen if temp>39C)
SchmidtNoDIC(i,j)=max(1.0 _d -2, SchmidtNoDIC(i,j))
C Determine surface flux (FDIC)
C first correct pCO2at for surface atmos pressure
pCO2sat(i,j) =
& AtmosP(i,j,bi,bj)*AtmospCO2(i,j,bi,bj)
C then account for Schmidt number
Kwexch(i,j) = Kwexch_Pre(i,j,bi,bj)
& / sqrt(SchmidtNoDIC(i,j)/660.0 _d 0)
#ifdef WATERVAP_BUG
C Calculate flux in terms of DIC units using K0, solubility
C Flux = Vp * ([CO2sat] - [CO2])
C CO2sat = K0*pCO2atmos*P/P0
C Converting pCO2 to [CO2] using ff, as in CALC_PCO2
FluxCO2(i,j,bi,bj) =
& Kwexch(i,j)*(
& ak0(i,j,bi,bj)*pCO2sat(i,j) -
& ff(i,j,bi,bj)*pCO2(i,j,bi,bj)
& )
#else
C Corrected by Val Bennington Nov 2010 per G.A. McKinley s finding
C of error in application of water vapor correction
c Flux = kw*rho*(ff*pCO2atm-k0*FugFac*pCO2ocean)
FluxCO2(i,j,bi,bj) =
& Kwexch(i,j)*(
& ff(i,j,bi,bj)*pCO2sat(i,j) -
& pCO2(i,j,bi,bj)*fugf(i,j,bi,bj)
& *ak0(i,j,bi,bj) )
&
#endif
ELSE
FluxCO2(i,j,bi,bj) = 0. _d 0
ENDIF
C convert flux (mol kg-1 m s-1) to (mol m-2 s-1)
FluxCO2(i,j,bi,bj) = FluxCO2(i,j,bi,bj)/permil
#ifdef ALLOW_OLD_VIRTUALFLUX
IF (maskC(i,j,kLev,bi,bj).NE.0. _d 0) THEN
c calculate virtual flux
c EminusPforV = dS/dt*(1/Sglob)
C NOTE: Be very careful with signs here!
C Positive EminusPforV => loss of water to atmos and increase
C in salinity. Thus, also increase in other surface tracers
C (i.e. positive virtual flux into surface layer)
C ...so here, VirtualFLux = dC/dt!
VirtualFlux(i,j)=gsm_DIC*surfaceForcingS(i,j,bi,bj)/gsm_s
c OR
c let virtual flux be zero
c VirtualFlux(i,j)=0.d0
c
ELSE
VirtualFlux(i,j)=0. _d 0
ENDIF
#endif /* ALLOW_OLD_VIRTUALFLUX */
ENDDO
ENDDO
C update tendency
DO j=jMin,jMax
DO i=iMin,iMax
GDC(i,j)= recip_drF(kLev)*recip_hFacC(i,j,kLev,bi,bj)
& *(FluxCO2(i,j,bi,bj)
#ifdef ALLOW_OLD_VIRTUALFLUX
& + VirtualFlux(i,j)
#endif
& )
ENDDO
ENDDO
#endif
RETURN
END