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Lside_veg_v2015a.py
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import numpy as np
from Lvikt_veg import Lvikt_veg
def Lside_veg_v2015a(svfS,svfW,svfN,svfE,svfEveg,svfSveg,svfWveg,svfNveg,svfEaveg,svfSaveg,svfWaveg,svfNaveg,azimuth,altitude,Ta,Tw,SBC,ewall,Ldown,esky,t,F_sh,CI,LupE,LupS,LupW,LupN):
# This m-file is the current one that estimates L from the four cardinal points 20100414
#Building height angle from svf
svfalfaE=np.arcsin(np.exp((np.log(1-svfE))/2))
svfalfaS=np.arcsin(np.exp((np.log(1-svfS))/2))
svfalfaW=np.arcsin(np.exp((np.log(1-svfW))/2))
svfalfaN=np.arcsin(np.exp((np.log(1-svfN))/2))
vikttot=4.4897
aziW=azimuth+t
aziN=azimuth-90+t
aziE=azimuth-180+t
aziS=azimuth-270+t
F_sh = 2*F_sh-1 #(cylindric_wedge scaled 0-1)
c=1-CI
Lsky_allsky = esky*SBC*((Ta+273.15)**4)*(1-c)+c*SBC*((Ta+273.15)**4)
## Least
[viktveg, viktwall, viktsky, viktrefl] = Lvikt_veg(svfE, svfEveg, svfEaveg, vikttot)
if altitude > 0: # daytime
alfaB=np.arctan(svfalfaE)
betaB=np.arctan(np.tan((svfalfaE)*F_sh))
betasun=((alfaB-betaB)/2)+betaB
# betasun = np.arctan(0.5*np.tan(svfalfaE)*(1+F_sh)) #TODO This should be considered in future versions
if (azimuth > (180-t)) and (azimuth <= (360-t)):
Lwallsun=SBC*ewall*((Ta+273.15+Tw*np.sin(aziE*(np.pi/180)))**4)*\
viktwall*(1-F_sh)*np.cos(betasun)*0.5
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*F_sh*0.5
else:
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
else: #nighttime
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
Lsky=((svfE+svfEveg-1)*Lsky_allsky)*viktsky*0.5
Lveg=SBC*ewall*((Ta+273.15)**4)*viktveg*0.5
Lground=LupE*0.5
Lrefl=(Ldown+LupE)*(viktrefl)*(1-ewall)*0.5
Least=Lsky+Lwallsun+Lwallsh+Lveg+Lground+Lrefl
# clear alfaB betaB betasun Lsky Lwallsh Lwallsun Lveg Lground Lrefl viktveg viktwall viktsky
## Lsouth
[viktveg,viktwall,viktsky,viktrefl]=Lvikt_veg(svfS,svfSveg,svfSaveg,vikttot)
if altitude>0: # daytime
alfaB=np.arctan(svfalfaS)
betaB=np.arctan(np.tan((svfalfaS)*F_sh))
betasun=((alfaB-betaB)/2)+betaB
# betasun = np.arctan(0.5*np.tan(svfalfaS)*(1+F_sh))
if (azimuth <= (90-t)) or (azimuth > (270-t)):
Lwallsun=SBC*ewall*((Ta+273.15+Tw*np.sin(aziS*(np.pi/180)))**4)*\
viktwall*(1-F_sh)*np.cos(betasun)*0.5
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*F_sh*0.5
else:
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
else: #nighttime
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
Lsky=((svfS+svfSveg-1)*Lsky_allsky)*viktsky*0.5
Lveg=SBC*ewall*((Ta+273.15)**4)*viktveg*0.5
Lground=LupS*0.5
Lrefl=(Ldown+LupS)*(viktrefl)*(1-ewall)*0.5
Lsouth=Lsky+Lwallsun+Lwallsh+Lveg+Lground+Lrefl
# clear alfaB betaB betasun Lsky Lwallsh Lwallsun Lveg Lground Lrefl viktveg viktwall viktsky
## Lwest
[viktveg,viktwall,viktsky,viktrefl]=Lvikt_veg(svfW,svfWveg,svfWaveg,vikttot)
if altitude>0: # daytime
alfaB=np.arctan(svfalfaW)
betaB=np.arctan(np.tan((svfalfaW)*F_sh))
betasun=((alfaB-betaB)/2)+betaB
# betasun = np.arctan(0.5*np.tan(svfalfaW)*(1+F_sh))
if (azimuth > (360-t)) or (azimuth <= (180-t)):
Lwallsun=SBC*ewall*((Ta+273.15+Tw*np.sin(aziW*(np.pi/180)))**4)*\
viktwall*(1-F_sh)*np.cos(betasun)*0.5
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*F_sh*0.5
else:
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
else: #nighttime
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
Lsky=((svfW+svfWveg-1)*Lsky_allsky)*viktsky*0.5
Lveg=SBC*ewall*((Ta+273.15)**4)*viktveg*0.5
Lground=LupW*0.5
Lrefl=(Ldown+LupW)*(viktrefl)*(1-ewall)*0.5
Lwest=Lsky+Lwallsun+Lwallsh+Lveg+Lground+Lrefl
# clear alfaB betaB betasun Lsky Lwallsh Lwallsun Lveg Lground Lrefl viktveg viktwall viktsky
## Lnorth
[viktveg,viktwall,viktsky,viktrefl]=Lvikt_veg(svfN,svfNveg,svfNaveg,vikttot)
if altitude>0: # daytime
alfaB=np.arctan(svfalfaN)
betaB=np.arctan(np.tan((svfalfaN)*F_sh))
betasun=((alfaB-betaB)/2)+betaB
# betasun = np.arctan(0.5*np.tan(svfalfaN)*(1+F_sh))
if (azimuth > (90-t)) and (azimuth <= (270-t)):
Lwallsun=SBC*ewall*((Ta+273.15+Tw*np.sin(aziN*(np.pi/180)))**4)*\
viktwall*(1-F_sh)*np.cos(betasun)*0.5
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*F_sh*0.5
else:
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
else: #nighttime
Lwallsun=0
Lwallsh=SBC*ewall*((Ta+273.15)**4)*viktwall*0.5
Lsky=((svfN+svfNveg-1)*Lsky_allsky)*viktsky*0.5
Lveg=SBC*ewall*((Ta+273.15)**4)*viktveg*0.5
Lground=LupN*0.5
Lrefl=(Ldown+LupN)*(viktrefl)*(1-ewall)*0.5
Lnorth=Lsky+Lwallsun+Lwallsh+Lveg+Lground+Lrefl
# clear alfaB betaB betasun Lsky Lwallsh Lwallsun Lveg Lground Lrefl viktveg viktwall viktsky
return Least,Lsouth,Lwest,Lnorth