cable_weathergenerator.F90 Source File


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Source Code

MODULE CABLE_WEATHERGENERATOR

  IMPLICIT NONE

  ! Parameters
  INTEGER, PARAMETER,PRIVATE :: sp = 8
  REAL(sp),PARAMETER,PRIVATE :: &
       Pi         = 3.14159265 ,&            ! Pi
       PiBy2      = 1.57079632 ,&            ! Pi/2
       SecDay     = 86400.0    ,&            ! Seconds/day
       SolarConst = 1370*SecDay/1e6 ,&       ! Solar constant [MJ/m2/day]
       epsilon    = 0.736        ,&
       SBoltz     = 5.67e-8  ! Stefan-Boltzmann constant [W/m2/K4]
  ! Global variables
  TYPE WEATHER_GENERATOR_TYPE
     ! general
     INTEGER :: np
     INTEGER :: ndtime   ! number of subdiurnal steps in 24 hr
     REAL    :: delT     ! subdiurnal timestep (in s)
     REAL(sp),DIMENSION(:),ALLOCATABLE :: LatDeg
     ! Daily input
     REAL(sp),DIMENSION(:),ALLOCATABLE :: &
          WindDay        ,&
          TempMinDay     ,&    ! Daily minimum air temp [degC]
          TempMaxDay     ,&    ! Daily maximum air temp [degC]
          TempMinDayNext ,&    ! Daily minimum air temp tomorrow [degC]
          TempMaxDayPrev ,&    ! Daily maximum air temp yesterday [degC]
          SolarMJDay           ! Total daily down-ward irradiation [MJ/m2/d] (swdown)
     ! Daily constants
     REAL(sp) :: DecRad                                   ! Declination in radians
     REAL(sp),DIMENSION(:),ALLOCATABLE :: &
          WindDark           ,&  ! Wind [m/s] during night hrs
          WindLite           ,&  ! Wind [m/s] during daylight hrs
          SolarNorm          ,&  ! (daily solar)/(solar const): geometry
          LatRad             ,&  ! Latitude in radians
          DayLength          ,&
          TimeSunsetPrev     ,&
          TimeSunrise        ,&
          TimeMaxTemp        ,&
          TimeSunset         ,&
          TempSunsetPrev     ,&
          TempSunset         ,&
          TempNightRate      ,&
          TempNightRatePrev  ,&
          TempRangeDay       ,&
          TempRangeAft

     ! Additional input to Subdiurnal met calculations
     !  Daily Met
     REAL(sp),DIMENSION(:),ALLOCATABLE :: &
          PrecipDay       ,&  ! 24hr-total precipitation [m/day] (current day = 24h from 0900 on previous day)
          SnowDay         ,&  ! 24hr-total precipitation [m/day] (current day = 24h from 0900 on previous day)
                                !CLNx     PrecipDayNext   ,&  ! 24hr-total precipitation [m/day] (next day = 24 h from 0900 on current day)
                                !CLNx     VapPmbDay       ,&  ! 24hr-av water vapour pressure [mb]
                                !CLNx     VapPmb0900      ,&  ! 0900 water vapour pressure [mb]
                                !CLNx     VapPmb1500      ,&  ! 1500 water vapour pressure [mb]
                                !CLNx     VapPmb1500Prev  ,&  ! 1500 (prev day) water vapour pressure [mb]
                                !CLNx     VapPmb0900Next  ,&  ! 0900(next day) water vapour pressure [mb]
          PmbDay              ! 24hr-av pressure [mb]
     !   Solar and Temperature Params
     !   Hourly Met outgoing
     REAL(sp),DIMENSION(:),ALLOCATABLE :: &
          PhiSd           ,&  ! downward solar irradiance [W/m2]
          PhiLd           ,&  ! down longwave irradiance  [W/m2]
          Precip          ,&  ! precip [mm/h]
          Snow            ,&  ! precip [mm/h]
          Wind            ,&  ! wind   [m/s]
          Temp            ,&  ! temp   [degC]
          VapPmb          ,&  ! vapour pressure [mb]
          Pmb             ,&  ! pressure [mb]
          coszen              ! cos(theta)

  END TYPE WEATHER_GENERATOR_TYPE


CONTAINS

  !===============================================================================

  SUBROUTINE WGEN_INIT( WG, np, latitude, dels )

    IMPLICIT NONE

    TYPE(WEATHER_GENERATOR_TYPE) :: WG
    INTEGER, INTENT(IN) :: np
    REAL,    INTENT(IN) :: latitude(np), dels

    WG%np     = np
    WG%delT   = dels
    WG%ndtime = NINT ( REAL(SecDay)/dels )

    ALLOCATE ( WG%LatDeg             (np) )
    ALLOCATE ( WG%WindDay            (np) )
    ALLOCATE ( WG%TempMinDay         (np) ) ! Daily minimum air temp [degC]
    ALLOCATE ( WG%TempMaxDay         (np) ) ! Daily maximum air temp [degC]
    ALLOCATE ( WG%TempMinDayNext     (np) ) ! Daily minimum air temp tomorrow [degC]
    ALLOCATE ( WG%TempMaxDayPrev     (np) ) ! Daily maximum air temp yesterday [degC]
    ALLOCATE ( WG%SolarMJDay         (np) )
    ALLOCATE ( WG%WindDark           (np) )  ! Wind [m/s] during night hrs
    ALLOCATE ( WG%WindLite           (np) )  ! Wind [m/s] during daylight hrs
    ALLOCATE ( WG%SolarNorm          (np) )  ! (daily solar)/(solar const): geometry
    ALLOCATE ( WG%LatRad             (np) )  ! Latitude in radians
    ALLOCATE ( WG%DayLength          (np) )
    ALLOCATE ( WG%TimeSunsetPrev     (np) )
    ALLOCATE ( WG%TimeSunrise        (np) )
    ALLOCATE ( WG%TimeMaxTemp        (np) )
    ALLOCATE ( WG%TimeSunset         (np) )
    ALLOCATE ( WG%TempSunsetPrev     (np) )
    ALLOCATE ( WG%TempSunset         (np) )
    ALLOCATE ( WG%TempNightRate      (np) )
    ALLOCATE ( WG%TempNightRatePrev  (np) )
    ALLOCATE ( WG%TempRangeDay       (np) )
    ALLOCATE ( WG%TempRangeAft       (np) )
    ALLOCATE ( WG%PrecipDay          (np) )  ! 24hr-total precipitation [m/day] (current day = 24h from 0900 on previous day)
    ALLOCATE ( WG%SnowDay            (np) )  ! [m/d]
    ALLOCATE ( WG%PmbDay             (np) )  ! 24hr-av pressure [mb]
    ALLOCATE ( WG%PhiSd              (np) )  ! downward solar irradiance [W/m2]
    ALLOCATE ( WG%PhiLd              (np) )  ! down longwave irradiance  [W/m2]
    ALLOCATE ( WG%Precip             (np) )  ! precip [mm/h]
    ALLOCATE ( WG%Snow               (np) )  ! precip [mm/h]
    ALLOCATE ( WG%Wind               (np) )  ! wind   [m/s]
    ALLOCATE ( WG%Temp               (np) )  ! temp   [degC]
    ALLOCATE ( WG%VapPmb             (np) )  ! vapour pressure [mb]
    ALLOCATE ( WG%Pmb                (np) )  ! pressure [mb]
    ALLOCATE ( WG%coszen             (np) )  ! cos(theta)

    WG%LatDeg(:) = latitude(:)

  END SUBROUTINE WGEN_INIT

  SUBROUTINE WGEN_DAILY_CONSTANTS( WG, np, YearDay )

    !-------------------------------------------------------------------------------
    ! Routine for calculating solar and met parameters that are constant over the
    ! the course of a 24hr day. These have been split off from version 01 of
    ! SubDiurnalMet which no longer calculates a day's worth of subdiurnal met in
    ! one call. Subdiurnal met for ntime times is now calculated using ntime calls,
    ! using the day-constants calculated here.
    !-------------------------------------------------------------------------------

    IMPLICIT NONE

    TYPE(WEATHER_GENERATOR_TYPE) :: WG
    INTEGER, INTENT(IN) :: np, YearDay

    ! Local variables
    REAL(sp) :: YearRad
    REAL(sp),DIMENSION(np) :: LatDeg1
    REAL(sp),DIMENSION(np) :: TanTan
    REAL(sp),DIMENSION(np) :: HDLRad
    REAL(sp),DIMENSION(np) :: TimeSunriseNext
    REAL(sp) :: RatioWindLiteDark

    ! -------------------------
    ! Downward solar irradiance
    ! -------------------------
    LatDeg1    = SIGN(MIN(ABS(WG%LatDeg),89.9), WG%LatDeg)   ! avoid singularity at pole
    WG%LatRad  = LatDeg1*Pi/180.0                      ! latitude in radians
    YearRad    = 2.0*Pi*(YearDay-1)/365.0              ! day of year in radians
    !YearRadPrev = 2.0*Pi*(YearDay-2)/365.0          ! previous day of year in radians
    ! (Ok for YD - 2 = -1)

    ! DecRad = Declination in radians (+23.5 deg on 22 June, -23.5 deg on 22 Dec):
    WG%DecRad = 0.006918 - 0.399912*COS(YearRad) + 0.070257*SIN(YearRad)     &
         - 0.006758*COS(2.0*YearRad) + 0.000907*SIN(2.0*YearRad)      &
         - 0.002697*COS(3.0*YearRad) + 0.001480*SIN(3.0*YearRad)
    ! Paltridge and Platt eq [3.7]

    ! Daylength: HDLRad = Half Day Length in radians (dawn:noon = noon:dusk):
    TanTan = -TAN(WG%LatRad)*TAN(WG%DecRad)
    WHERE (TanTan .LE. -1.0)
       HDLRad = Pi                           ! polar summer: sun never sets
    ELSEWHERE (TanTan .GE. 1.0)
       HDLRad = 0.0                          ! polar winter: sun never rises
    ELSEWHERE
       HDLRad = ACOS(TanTan)                 ! Paltridge and Platt eq [3.21]
    END WHERE                                  ! (HDLRad = their capital PI)
    WG%DayLength = 24.0*2.0*HDLRad / (2.0*Pi)  ! Daylength (dawn:dusk) in hours

    ! Daily solar irradiance without atmosphere, normalised by solar constant,
    ! with both energy fluxes in MJ/m2/day, calculated from solar geometry:
    WG%SolarNorm =  &                          ! Paltridge and Platt eq [3.22]
         (HDLRad*SIN(WG%LatRad)*SIN(WG%DecRad) + &
         COS(WG%LatRad)*COS(WG%DecRad)*SIN(HDLRad)) / Pi

    ! ----
    ! Wind
    ! ----

    RatioWindLiteDark = 3.0                 ! (daytime wind) / (nighttime wind)
    WG%WindDark  = WG%WindDay / &
         ( (24.0-WG%DayLength)/24.0 + RatioWindLiteDark*WG%DayLength/24.0 )
    WG%WindLite  = WG%WindDay / &
         ( (1.0/RatioWindLiteDark)*(24.0-WG%DayLength)/24.0 + WG%DayLength/24.0 )

    ! -----------
    ! Temperature
    ! -----------
    ! These are parameters required for the calculation of temperature according to
    ! Cesaraccio et al 2001 for sunrise-to-sunrise-next-day. Because we are calculating temp for
    ! midnight-to-midnight, we need to calculate midnight-to-sunrise temps using data for the
    ! previous day (-24h), hence the extra parameters denoted by *'s below which are not
    ! mentioned per se in Cesaraccio. Cesaraccio symbology for incoming met data is included
    ! here as comments for completeness:
    !                                                                 Sym in Cesaraccio et al 2001
    ! TempMinDay                                                        Tn
    ! TempMaxDay                                                        Tx
    ! TempMinDayNext                                                    Tp
    ! TempMaxDayPrev
!$write(71, "( 1000e16.6)") WG%DecRad
!$   write(72, "( 1000e16.6)") TAN(WG%DecRad)
!$   write(73, "( 1000e16.6)") TAN(WG%LatRad)
!$ write(74, "( 1000e16.6)")  WG%DayLength
    WHERE ( WG%DayLength .LT. 0.01 )
       ! Polar night
       WG%TimeSunrise     = 9.              ! Hn
       WG%TimeSunset      = 16.                            ! Ho
       WG%TimeMaxTemp     = 13.                                    ! Hx
    ELSEWHERE ( WG%DayLength .GT. 23.0 )
       ! Polar day
       WG%TimeSunrise     = 1.              ! Hn
       WG%TimeSunset      = 23.                            ! Ho
       WG%TimeMaxTemp     = 13.                                    ! Hx
    ELSEWHERE

       WG%TimeSunrise     = (ACOS(MIN(TAN(WG%LatRad)*TAN(WG%DecRad),0.9999)))*12./Pi              ! Hn
       WG%TimeSunset      = WG%TimeSunrise + WG%DayLength                             ! Ho
       WG%TimeMaxTemp     = WG%TimeSunset - MIN(4.,( WG%DayLength * 0.4)) ! Hx
    END WHERE
    WG%TimeSunsetPrev  = WG%TimeSunset - 24.                                 ! * Ho-24h (a negative hour)
    TimeSunriseNext    = WG%TimeSunrise + 24.                               ! Hp
    WG%TempSunset      = WG%TempMaxDay - &
         (0.39 * (WG%TempMaxDay - WG%TempMinDayNext))               ! To
    WG%TempSunsetPrev  = WG%TempMaxDayPrev - &
         (0.39 * (WG%TempMaxDayPrev - WG%TempMinDay))           ! * To-24h
    WG%TempRangeDay    = WG%TempMaxDay - WG%TempMinDay                            ! alpha = Tx-Tn
    WG%TempRangeAft    = WG%TempMaxDay - WG%TempSunset                            ! R = Tx-To
    WG%TempNightRate   = (WG%TempMinDayNext - WG%TempSunset)/ &
         SQRT(TimeSunriseNext-WG%TimeSunset)                  ! b = (Tp-To)/sqrt(Hp-Ho)
    WG%TempNightRatePrev = (WG%TempMinDay - WG%TempSunsetPrev)/ &
         SQRT(WG%TimeSunrise-WG%TimeSunsetPrev)                  ! * b-24h = (Tn-(To-24h))/sqrt(Hn-(Ho-24h))

  END SUBROUTINE WGEN_DAILY_CONSTANTS

!==============================================================================

  SUBROUTINE WGEN_SUBDIURNAL_MET(WG, np, itime)

    !-------------------------------------------------------------------------------
    ! Routine for downscaling daily met data to ntime subdiurnal values per day,
    ! at the instants ((it/ntime)*2400, it=1,ntime).
    !
    ! ALGORITHMS:
    ! * Downward solar irradiance:
    !   * Fit a daily irradiance time series based on solar geometry, normalised to
    !     observed daily total SolarMJDay. Reference: Paltridge and Platt (1976).
    ! * Downward longwave irradiance:
    !   * Computed from downscaled air temperature using Swinbank (1963) formula.
    ! * Precipitation:
    !   * Assume steady through 24 hours at average value (needs improvement?)
    ! * Wind:
    !   * Set RatioWindLiteDark = (daytime wind) / (nighttime wind), a predetermined
    !     value, typically 3. Then calculate wind by day and wind by night (both
    !     steady, but different) to make the average work out right.
    ! * Temperature:
    !   * Fit a sine wave from sunrise (TempMinDay) to peak at TempMaxDay, another
    !     from TempMaxDay to sunset, TempMinDay, and a square-root function from
    !     sunset to sunrise the next day (Cesaraccio et al 2001).
    ! * Water Vapour Pressure, Air Pressure:
    !   * Hold constant. Return rel humidity at TempMinDay as a diagnostic on obs.
    !
    ! HISTORY:
    ! * 04-sep-2003 (MRR): 01 Written and tested in Program SubDiurnalWeather
    ! * 30-nov-2007 (PRB): 02 Vectorise with deferred shape arrays, adding np dimension.
    ! * 11-dec-2007 (PRB): 03 Switch to Cesaraccio et al 2001 algorithm for temperature
    ! * 28/02/2012 (VH) :  04 cahnge precip from uniform distribution to evenly distributed over
    ! the periods 0600:0700; 0700:0800; 1500:1600; 1800:1900
    !-------------------------------------------------------------------------------

    IMPLICIT NONE

    TYPE(WEATHER_GENERATOR_TYPE) :: WG
    INTEGER, INTENT(IN) :: np, itime

    ! Local variables
    REAL(sp) :: TimeNoon , test1, test2, adjust_fac(np)
    REAL(sp) :: TimeRad
    REAL(sp) :: rntime    ! Real version of ntime
    REAL(sp) :: ritime    ! Real version of current time
    REAL(sp),DIMENSION(np):: PhiLd_Swinbank     ! down longwave irradiance  [W/m2]

    !-------------------------------------------------------------------------------

    ritime = REAL(itime)     * WG%delT/3600.  ! Convert the current time to real
    rntime = REAL(WG%ndtime) * WG%delT/3600.  ! Convert ntime to real

    ! Instantaneous downward hemispheric solar irradiance PhiSd
    TimeNoon = ritime/rntime - 0.5   ! Time in day frac (-0.5 to 0.5, zero at noon)
    TimeRad  = 2.0*Pi*TimeNoon       ! Time in day frac (-Pi to Pi, zero at noon)
    WHERE (ritime >= WG%TimeSunrise .AND. ritime <= WG%TimeSunset&
         .AND.WG%SolarNorm.GT.1.e-3  ) ! Sun is up
       WG%PhiSd = MAX((WG%SolarMJDay/WG%SolarNorm)  &   ! PhiSd [MJ/m2/day]
            * ( SIN(WG%DecRad)*SIN(WG%LatRad) + COS(WG%DecRad)*COS(WG%LatRad) &
            * COS(TimeRad) ), 0.0)  ! fix to avoid negative PhiSD vh 13/05/08
       ! Paltridge and Platt eq [3.4]
       WG%coszen = ( SIN(WG%DecRad)*SIN(WG%LatRad) + COS(WG%DecRad)*COS(WG%LatRad)*COS(TimeRad) )
    ELSEWHERE ! sun is down
       WG%PhiSd  = 0.0
       WG%coszen = 0.0
    END WHERE

    WG%PhiSd    = WG%PhiSd*1e6/SecDay       ! Convert PhiSd: [MJ/m2/day] to [W/m2]

    ! -------------
    ! Precipitation
    ! -------------

    !Precip = PrecipDay*1000./rntime  ! convert from m/d to mm/h
    !Precip = (PrecipDay*1000.*9./24. + PrecipDayNext*1000.*15./24.)/rntime
    !Precip = (PrecipDay*1000.*9./24. + PrecipDayNext*1000.*15./24.)/24.  ! hourly precip [mm/h]

    IF ( ABS(ritime-REAL(INT(ritime))) .GT. 1e-7) THEN
       WRITE(*,*) "Only works for integer hourly timestep! tstep = ", ritime
       STOP  "cable_weathergenerator.F90!"
    ENDIF
    IF ((ritime >= 15. .AND. ritime < 16.).OR.(ritime >= 18. .AND. ritime < 19.)) THEN
       WG%Precip = WG%PrecipDay *1000./2.
       WG%Snow   = WG%SnowDay*1000./2.
    ELSE
       WG%Precip = 0.
       WG%Snow   = 0.
    ENDIF

    ! ----
    ! Wind
    ! ----

    WHERE (ritime >= WG%TimeSunrise .AND. ritime <= WG%TimeSunset) ! Sun is up
       WG%Wind = WG%WindLite
    ELSEWHERE ! Sun is down
       WG%Wind = WG%WindDark
    END WHERE

    ! -----------
    ! Temperature
    ! -----------
    ! Calculate temperature according to Cesaraccio et al 2001, including midnight to
    ! sunrise period using previous days info, and ignoring the period from after the
    ! following midnight to sunrise the next day, normally calculated by Cesaraccio.
    WHERE ( ritime <= WG%TimeSunrise )
       ! Midnight to sunrise
       WG%Temp = WG%TempSunsetPrev + WG%TempNightRatePrev * SQRT(ritime - WG%TimeSunsetPrev)
    ELSEWHERE (ritime > WG%TimeSunrise .AND. ritime <= WG%TimeMaxTemp)
       ! Sunrise to time of maximum temperature
       WG%Temp = WG%TempMinDay + &
            WG% TempRangeDay *SIN (((ritime-WG%TimeSunrise)/ &
            (WG%TimeMaxTemp-WG%TimeSunrise))*PiBy2)
    ELSEWHERE (ritime > WG%TimeMaxTemp .AND. ritime <= WG%TimeSunset)
       ! Time of maximum temperature to sunset
       WG%Temp = WG%TempSunset + &
            WG%TempRangeAft * SIN(PiBy2 + ((ritime-WG%TimeMaxTemp)/4.*PiBy2))
    ELSEWHERE (ritime > WG%TimeSunset )
       ! Sunset to midnight
       WG%Temp = WG%TempSunset + WG%TempNightRate * SQRT(ritime - WG%TimeSunset)
    END WHERE

    ! -----------------------------------
    ! Water Vapour Pressure, Air Pressure
    ! -----------------------------------

    !CLN VapPmb = VapPmbDay
    !CLN Pmb    = PmbDay
    !CLN
    !CLN IF (ritime <= 9.) THEN
    !CLN    ! before 9am
    !CLN    VapPmb = VapPmb1500Prev + (VapPmb0900 - VapPmb1500Prev) * (9. + ritime)/18.
    !CLN ELSEIF (ritime > 9 .AND. ritime <= 15.) THEN
    !CLN ! between 9am and 15:00
    !CLN    VapPmb = VapPmb0900 + (VapPmb1500 - VapPmb0900) * (ritime - 9.)/(15.-9.)
    !CLN ELSEIF (ritime > 15.) THEN
    !CLN ! after 15:00
    !CLN   VapPmb  = VapPmb1500 + (VapPmb0900Next - VapPmb1500) * (ritime - 15.)/18.
    !CLN END IF

    ! ----------------------------
    ! Downward longwave irradiance
    ! ----------------------------

    PhiLd_Swinbank = 335.97 * (((WG%Temp + 273.16) / 293.0)**6)   ! [W/m2] (Swinbank 1963)

    ! -------------------------------
    ! Alternate longwave formulation
    ! ----------------------------

    WG%PhiLd = epsilon * SBoltz * (WG%Temp + 273.16)**4       ! [W/m2] (Brutsaert)

    WHERE (WG%PhiSd.GT.50.0)
       adjust_fac = ((1.17)**(WG%SolarNorm))/1.17
    ELSEWHERE
       adjust_fac = 0.9
    ENDWHERE

    WG%PhiLd = WG%PhiLd /adjust_fac * (1.0 + WG%PhiSd/8000.)       ! adjustment (formulation from Gab Abramowitz)

    WHERE ((WG%PhiLd.GT.500.00).OR.(WG%PhiLd.LT.100.00))
       WG%PhiLd = PhiLd_Swinbank
    ENDWHERE

    IF (ANY((WG%PhiLd.GT.750.00).OR.(WG%PhiLd.LT.100.00))) THEN
       !write(*,*) 'PhiLD out of range'
    ENDIF

  END SUBROUTINE WGEN_SUBDIURNAL_MET

END MODULE CABLE_WEATHERGENERATOR