C $Header: /u/gcmpack/MITgcm/pkg/exf/exf_zenithangle.F,v 1.8 2017/03/06 22:38:03 gforget Exp $
C $Name: $
#include "EXF_OPTIONS.h"
CBOP
C !ROUTINE: EXF_ZENITHANGLE
C !INTERFACE:
SUBROUTINE EXF_ZENITHANGLE(
I myTime, myIter, myThid )
C !DESCRIPTION: \bv
C *==========================================================*
C | SUBROUTINE EXF_ZENITHANGLE
C | o compute zenith angle, derive albedo and
C | the incoming flux at the top of the atm.
C *==========================================================*
C \ev
C !USES:
IMPLICIT NONE
C == global variables ==
#include "EEPARAMS.h"
#include "SIZE.h"
#include "PARAMS.h"
#include "GRID.h"
#include "EXF_PARAM.h"
#include "EXF_FIELDS.h"
#include "EXF_CONSTANTS.h"
#ifdef ALLOW_CAL
# include "cal.h"
#endif
C !INPUT/OUTPUT PARAMETERS:
_RL myTime
INTEGER myIter
INTEGER myThid
#ifdef ALLOW_DOWNWARD_RADIATION
#ifdef ALLOW_ZENITHANGLE
C !FUNCTIONS:
#ifdef ALLOW_CAL
INTEGER cal_IsLeap
EXTERNAL
#endif
C !LOCAL VARIABLES:
INTEGER i, j, bi, bj
INTEGER iLat1,iLat2,iTyear1,iTyear2
_RL wLat1,wLat2,wTyear1,wTyear2
_RL H0, dD0dDsq, CZENdaily, CZENdiurnal
_RL TDAY, TYEAR, ALBSEA1, ALPHA, CZEN, CZEN2
_RL DECLI, ZS, ZC, SJ, CJ, TMPA, TMPB, TMPL, hlim
_RL SOLC, FSOL
c _RL CSR1, CSR2, FLAT2
_RL secondsInYear
#ifdef ALLOW_CAL
_RL myDateSeconds
INTEGER year0,mydate(4),difftime(4)
INTEGER dayStartDate(4),yearStartDate(4)
#endif
CEOP
C solar constant
C --------------
SOLC = 1368. _d 0
C note: it is fourth (342. _d 0) is called SOLC in pkg/aim_v23
C determine time of year/day
C --------------------------
#ifdef ALLOW_CAL
IF ( useCAL ) THEN
CALL CAL_GETDATE( myIter, myTime, mydate, myThid )
year0 = INT(mydate(1)/10000.)
secondsInYear = ndaysnoleap * secondsperday
IF ( cal_IsLeap(year0,myThid) .EQ. 2)
& secondsInYear = ndaysleap * secondsperday
yearStartDate(1) = year0 * 10000 + 101
yearStartDate(2) = 0
yearStartDate(3) = mydate(3)
yearStartDate(4) = mydate(4)
CALL CAL_TIMEPASSED(yearStartDate,mydate,difftime,myThid)
CALL CAL_TOSECONDS (difftime,myDateSeconds,myThid)
TYEAR=myDateSeconds/secondsInYear
dayStartDate(1) = mydate(1)
dayStartDate(2) = 0
dayStartDate(3) = mydate(3)
dayStartDate(4) = mydate(4)
CALL CAL_TIMEPASSED(dayStartDate,mydate,difftime,myThid)
CALL CAL_TOSECONDS (difftime,myDateSeconds,myThid)
TDAY= myDateSeconds / ( 86400 . _d 0 )
ELSE
#else /* ALLOW_CAL */
IF ( .TRUE. ) THEN
#endif /* ALLOW_CAL */
secondsInYear = 86400. _d 0 * 365.25 _d 0
TYEAR = myTime / secondsInYear
TDAY = myTime / 86400 . _d 0
TYEAR = MOD( TYEAR, oneRL )
TDAY = MOD( TDAY , oneRL )
ENDIF
IF ( useExfZenAlbedo ) THEN
DO bj = myByLo(myThid),myByHi(myThid)
DO bi = myBxLo(myThid),myBxHi(myThid)
IF ( select_ZenAlbedo.EQ.0 ) THEN
DO j = 1,sNy
DO i = 1,sNx
zen_albedo (i,j,bi,bj) = exf_albedo
ENDDO
ENDDO
ELSEIF ( select_ZenAlbedo.EQ.1 ) then
C This is the default option: daily mean albedo (i.e. without diurnal
C cycle) obtained from the reference table that was computed in
C exf_zenithangle_table.F. Using either daily or 6 hourly fields, this
C option yields correct values of daily upward sw flux.
C This is not the case for select_ZenAlbedo.GT.1 (see comments below).
iTyear1= 1 + 365.*TYEAR
wTyear1= iTyear1 - 365.*TYEAR
iTyear2= iTyear1 + 1
wTyear2= 1.0 _d 0 - wTyear1
DO j = 1,sNy
DO i = 1,sNx
IF ( zen_albedo_pointer(i,j,bi,bj).EQ. 181. _d 0 ) THEN
iLat1=181
wLat1=0.5 _d 0
iLat2=181
wLat2=0.5 _d 0
ELSE
iLat1= INT(zen_albedo_pointer(i,j,bi,bj))
wLat1= 1. _d 0 + iLat1 - zen_albedo_pointer(i,j,bi,bj)
iLat2= iLat1 + 1
wLat2= 1. _d 0 - wLat1
ENDIF
ALBSEA1 =
& wTyear1*wLat1*zen_albedo_table(iTyear1,iLat1)
& + wTyear1*wLat2*zen_albedo_table(iTyear1,iLat2)
& + wTyear2*wLat1*zen_albedo_table(iTyear2,iLat1)
& + wTyear2*wLat2*zen_albedo_table(iTyear2,iLat2)
C determine overall albedo: approximation: half direct and half diffus
zen_albedo (i,j,bi,bj) =
& 0.5 _d 0 * exf_albedo + 0.5 _d 0 * ALBSEA1
ENDDO
ENDDO
C if select_ZenAlbedo = 0, = 1, else
ELSE
C determine solar declination
C ---------------------------
C (formula from Hartmann textbook, after Spencer 1971)
ALPHA= 2. _d 0*PI*TYEAR
DECLI = 0.006918 _d 0
& - 0.399912 _d 0 * COS ( 1. _d 0 * ALPHA )
& + 0.070257 _d 0 * SIN ( 1. _d 0 * ALPHA )
& - 0.006758 _d 0 * COS ( 2. _d 0 * ALPHA )
& + 0.000907 _d 0 * SIN ( 2. _d 0 * ALPHA )
& - 0.002697 _d 0 * COS ( 3. _d 0 * ALPHA )
& + 0.001480 _d 0 * SIN ( 3. _d 0 * ALPHA )
C note: alternative formulas include
C 1) formula from aim_surf_bc.F, neglecting eccentricity:
C ALPHA= 2. _d 0*PI*(TYEAR+10. _d 0/365. _d 0)
C DECLI = COS(ALPHA) * ( -23.45 _d 0 * deg2rad)
C 2) formulas that accounts for minor astronomic effects, e.g.
C Yallop, B. D., Position of the sun to 1 minute of arc precision,
C H. M. Nautical Almanac Office, Royal Greenwich Observatory,
C Herstmonceux Castle, Hailsham, Sussex BN27 1RP, 1977.
ZC = COS(DECLI)
ZS = SIN(DECLI)
DO j = 1,sNy
DO i = 1,sNx
SJ = SIN(yC(i,j,bi,bj) * deg2rad)
CJ = COS(yC(i,j,bi,bj) * deg2rad)
TMPA = SJ*ZS
TMPB = CJ*ZC
IF ( select_ZenAlbedo.EQ.3 ) THEN
C determine DAILY VARYING cos of solar zenith angle CZEN
C ------------------------------------------------------
C (formula from Hartmann textbook, classic trigo)
CZENdiurnal = TMPA + TMPB *
& COS( 2. _d 0 *PI* TDAY + xC(i,j,bi,bj) * deg2rad )
C note: a more complicated hour angle formula is given by Yallop 1977
IF ( CZENdiurnal .LE.0 ) CZENdiurnal = 0. _d 0
CZEN = CZENdiurnal
ELSEIF ( select_ZenAlbedo.EQ.2 ) THEN
C determine DAILY MEAN cos of solar zenith angle CZEN
C ---------------------------------------------------
C ( formula from aim_surf_bc.F <--> mean(CZEN*CZEN)/mean(CZEN) )
TMPL = -TMPA/TMPB
IF (TMPL .GE. 1.0 _d 0) THEN
CZEN = 0.0 _d 0
ELSEIF (TMPL .LE. -1.0 _d 0) THEN
CZEN = (2.0 _d 0)*TMPA*PI
CZEN2= PI*((2.0 _d 0)*TMPA*TMPA + TMPB*TMPB)
CZEN = CZEN2/CZEN
ELSE
hlim = ACOS(TMPL)
CZEN = 2.0 _d 0*(TMPA*hlim + TMPB*SIN(hlim))
CZEN2= 2.0 _d 0*TMPA*TMPA*hlim
& + 4.0 _d 0*TMPA*TMPB*SIN(hlim)
& + TMPB*TMPB*( hlim + 0.5 _d 0*SIN(2.0 _d 0*hlim) )
CZEN = CZEN2/CZEN
ENDIF
CZENdaily = CZEN
c CZEN = CZENdaily
ELSE
print *, 'select_ZenAlbedo is out of range'
STOP 'ABNORMAL END: S/R EXF_ZENITHANGLE'
ENDIF
C determine direct ocean albedo
C -----------------------------
C (formula from Briegleb, Minnis, et al 1986)
C comments on select_ZenAlbedo.GT.1 methods:
C - CZENdaily as computed in aim was found to imply sizable biases in
C daily upward sw fluxes. It is not advised to use it, but it is kept
C in connection to pkg/aim_v23.
C - CZENdiurnal should never be used with daily mean input fields.
C Furthermore, at this point, it is not advised to use it even with 6
C hourly swdown input fields. This is because we simply time interpolate
C between 6 hourly swdown fields, so each day there will be times when
C CZENdiurnal correctly reflects that it is night time, but swdown.NE.0.
C does not. CZENdiurnal may actually be rather harmful in this context,
C since an inconsistency of phase between CZENdiurnal and swdown will
C yield biases in daily mean upward sw fluxes. So ...
ALBSEA1 =
& ( ( 2.6 _d 0 / (CZEN**(1.7 _d 0) + 0.065 _d 0) )
& + ( 15. _d 0 * (CZEN-0.1 _d 0) * (CZEN-0.5 _d 0)
& * (CZEN-1.0 _d 0) ) ) / 100.0 _d 0
C determine overall albedo
C ------------------------
C (approximation: half direct and half diffu.)
zen_albedo (i,j,bi,bj) =
& 0.5 _d 0 * exf_albedo + 0.5 _d 0 * ALBSEA1
ENDDO
ENDDO
C end if select_ZenAlbedo = 0, = 1, else
ENDIF
C end bi,bj loops
ENDDO
ENDDO
C end if ( useExfZenAlbedo )
ENDIF
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
IF ( useExfZenIncoming ) THEN
DO bj = myByLo(myThid),myByHi(myThid)
DO bi = myBxLo(myThid),myBxHi(myThid)
C compute incoming flux at the top of the atm.:
C ---------------------------------------------
C (formula from Hartmann textbook, after Spencer 1971)
ALPHA= 2. _d 0*PI*TYEAR
DECLI = 0.006918 _d 0
& - 0.399912 _d 0 * COS ( 1. _d 0 * ALPHA )
& + 0.070257 _d 0 * SIN ( 1. _d 0 * ALPHA )
& - 0.006758 _d 0 * COS ( 2. _d 0 * ALPHA )
& + 0.000907 _d 0 * SIN ( 2. _d 0 * ALPHA )
& - 0.002697 _d 0 * COS ( 3. _d 0 * ALPHA )
& + 0.001480 _d 0 * SIN ( 3. _d 0 * ALPHA )
dD0dDsq = 1.000110 _d 0
& + 0.034221 _d 0 * COS ( 1. _d 0 * ALPHA )
& + 0.001280 _d 0 * SIN ( 1. _d 0 * ALPHA )
& + 0.000719 _d 0 * COS ( 2. _d 0 * ALPHA )
& + 0.000077 _d 0 * SIN ( 2. _d 0 * ALPHA )
ZC = COS(DECLI)
ZS = SIN(DECLI)
DO j = 1,sNy
DO i = 1,sNx
SJ = SIN(yC(i,j,bi,bj) * deg2rad)
CJ = COS(yC(i,j,bi,bj) * deg2rad)
TMPA = SJ*ZS
TMPB = CJ*ZC
C DAILY VARYING value:
CZEN = TMPA + TMPB *
& COS( 2. _d 0 *PI*TDAY + xC(i,j,bi,bj)*deg2rad )
IF ( CZEN .LE.0 ) CZEN = 0. _d 0
FSOL = SOLC * dD0dDsq * MAX( 0. _d 0, CZEN )
zen_fsol_diurnal(i,j,bi,bj) = FSOL
C DAILY MEAN value:
H0 = -TAN( yC(i,j,bi,bj) *deg2rad ) * TAN( DECLI )
IF ( H0.LT.-1. _d 0 ) H0 = -1. _d 0
IF ( H0.GT. 1. _d 0 ) H0 = 1. _d 0
H0 = ACOS( H0 )
FSOL = SOLC * dD0dDsq / PI
& * ( H0 * TMPA + SIN(H0) * TMPB )
zen_fsol_daily(i,j,bi,bj) = FSOL
C note: an alternative for the DAILY MEAN is, as done in pkg/aim_v23,
C ALPHA= 2. _d 0*PI*(TYEAR+10. _d 0/365. _d 0)
C CSR1=-0.796 _d 0*COS(ALPHA)
C CSR2= 0.147 _d 0*COS(2. _d 0*ALPHA)-0.477 _d 0
C FLAT2 = 1.5 _d 0*SJ**2 - 0.5 _d 0
C FSOL = 0.25 _d 0 * SOLC
C & * MAX( 0. _d 0, 1. _d 0+CSR1*SJ+CSR2*FLAT2 )
C zen_fsol_daily (i,j,bi,bj) = FSOL
ENDDO
ENDDO
C end bi,bj loops
ENDDO
ENDDO
C end if ( useExfZenIncoming )
ENDIF
#endif /* ALLOW_ZENITHANGLE */
#endif /* ALLOW_DOWNWARD_RADIATION */
RETURN
END