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Addition of Essery & Etchevers (2004) Turbulent Fluxes Method #61

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03aac59
Added Essery & Etchevers 04 turbulent flux method
MarcusGastaldello Jan 26, 2024
50a1d54
Update constants.py
MarcusGastaldello Jan 26, 2024
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3 changes: 2 additions & 1 deletion constants.py
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Original file line number Diff line number Diff line change
Expand Up @@ -10,7 +10,8 @@
z = 2.0 # Measurement height [m]

' PARAMETERIZATIONS '
stability_correction = 'Ri' # possibilities: 'Ri','MO'
turbulent_fluxes_method = 'Foken08' # possibilities: 'Foken08', 'Essery&Etchevers04'
stability_correction = 'Ri' # possibilities: 'Ri','MO' (Foken08 only)
albedo_method = 'Oerlemans98' # possibilities: 'Oerlemans98','Bougamont05'
densification_method = 'Boone' # possibilities: 'Boone','empirical','constant' TODO: solve error Vionnet
penetrating_method = 'Bintanja95' # possibilities: 'Bintanja95'
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144 changes: 91 additions & 53 deletions cosipy/modules/surfaceTemperature.py
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Expand Up @@ -200,80 +200,118 @@ def eb_fluxes(GRID, T0, dt, z, z0, T2, rH2, p, u2, RAIN, SLOPE, B_Ts, LWin=None,
# Mixing Ratio at surface and at measurement height or calculate with other formula? 0.622*e/p = q
q2 = (rH2 * 0.622 * (Ew / (p - Ew))) / 100.0
q0 = (100.0 * 0.622 * (Ew0 / (p - Ew0))) / 100.0

if turbulent_fluxes_method == 'Foken08':

# Air density
rho = (p*100.0) / (287.058 * (T2 * (1 + 0.608 * q2)))
# Air density
rho = (p*100.0) / (287.058 * (T2 * (1 + 0.608 * q2)))

# Bulk transfer coefficient
z0t = z0/100 # Roughness length for sensible heat
z0q = z0/10 # Roughness length for moisture
L = None
# Bulk transfer coefficient
z0t = z0/100 # Roughness length for sensible heat
z0q = z0/10 # Roughness length for moisture
L = None

# Monin-Obukhov stability correction
if stability_correction == 'MO':
L = 0.0
H0 = T0*0. + np.inf #numba: consistent typing of H0
diff = np.inf
optim = True
niter = 0

# Optimize Obukhov length
while optim:
# ustar with initial condition of L == x
ust = ustar(u2,z,z0,L)
# Monin-Obukhov stability correction
if stability_correction == 'MO':
L = 0.0
H0 = T0*0. + np.inf #numba: consistent typing of H0
diff = np.inf
optim = True
niter = 0

# Optimize Obukhov length
while optim:
# ustar with initial condition of L == x
ust = ustar(u2,z,z0,L)

# Sensible heat flux for neutral conditions
Cd = np.power(0.41,2.0) / np.power(np.log(z/z0) - phi_m(z,L) - phi_m(z0,L),2.0)
Cs_t = 0.41*np.sqrt(Cd) / (np.log(z/z0t) - phi_tq(z,L) - phi_tq(z0,L))
Cs_q = 0.41*np.sqrt(Cd) / (np.log(z/z0q) - phi_tq(z,L) - phi_tq(z0,L))
# Sensible heat flux for neutral conditions
Cd = np.power(0.41,2.0) / np.power(np.log(z/z0) - phi_m(z,L) - phi_m(z0,L),2.0)
Cs_t = 0.41*np.sqrt(Cd) / (np.log(z/z0t) - phi_tq(z,L) - phi_tq(z0,L))
Cs_q = 0.41*np.sqrt(Cd) / (np.log(z/z0q) - phi_tq(z,L) - phi_tq(z0,L))

# Surface heat flux
H = rho * spec_heat_air * Cs_t * u2 * (T2-T0) * np.cos(np.radians(SLOPE))
# Surface heat flux
H = rho * spec_heat_air * Cs_t * u2 * (T2-T0) * np.cos(np.radians(SLOPE))

# Latent heat flux
LE = rho * Lv * Cs_q * u2 * (q2-q0) * np.cos(np.radians(SLOPE))
# Latent heat flux
LE = rho * Lv * Cs_q * u2 * (q2-q0) * np.cos(np.radians(SLOPE))

# Monin-Obukhov length
L = MO(rho, ust, T2, H)
# Monin-Obukhov length
L = MO(rho, ust, T2, H)

# Heat flux differences between iterations
diff = np.abs(H0-H)
# Heat flux differences between iterations
diff = np.abs(H0-H)

# Termination criterion
if (diff<1e-1) | (niter>5):
optim = False
niter = niter+1
# Termination criterion
if (diff<1e-1) | (niter>5):
optim = False
niter = niter+1

# Store last heat flux in H0
H0 = H
# Store last heat flux in H0
H0 = H

# Richardson-Number stability correction
elif stability_correction == 'Ri':
# Bulk transfer coefficient
Cs_t = np.power(0.41,2.0) / ( np.log(z/z0) * np.log(z/z0t) ) # Stanton-Number
Cs_q = np.power(0.41,2.0) / ( np.log(z/z0) * np.log(z/z0q) ) # Dalton-Number
# Richardson-Number stability correction
elif stability_correction == 'Ri':
# Bulk transfer coefficient
Cs_t = np.power(0.41,2.0) / ( np.log(z/z0) * np.log(z/z0t) ) # Stanton-Number
Cs_q = np.power(0.41,2.0) / ( np.log(z/z0) * np.log(z/z0q) ) # Dalton-Number

# Bulk Richardson number
# Bulk Richardson number
Ri = 0
if (u2!=0):
Ri = ( (9.81 * (T2 - T0) * z) / (T2 * np.power(u2, 2)) ).item() #numba can't compare literal & array below

# Stability correction
phi = 1
if (Ri > 0.01) & (Ri <= 0.2):
phi = np.power(1-5*Ri,2)
elif Ri > 0.2:
phi = 0

# Sensible heat flux
H = rho * spec_heat_air * Cs_t * u2 * (T2-T0) * phi * np.cos(np.radians(SLOPE))

# Latent heat flux
LE = rho * Lv * Cs_q * u2 * (q2-q0) * phi * np.cos(np.radians(SLOPE))

else:
raise ValueError("Stability correction",stability_correction,"is not supported") #numba refuses to print str(list)

if turbulent_fluxes_method == 'Essery&Etchevers04':

# Unused Variables:
L = None
Cs_t = None
Cs_q = None

# Dry air density
rho = (p*100.0) / (287.058 * T2)

# Exchange parameters:
C_hn = 0.16 * np.power((np.log(z/z0)),-2)
fz = 0.25 * np.power((z0/z),0.5)

# Richardson number:
Ri = 0
if (u2!=0):
Ri = ( (9.81 * (T2 - T0) * z) / (T2 * np.power(u2, 2)) ).item() #numba can't compare literal & array below

# Stability correction
Ri = ((9.81 * z / np.power(u2,2)) * (((T2 - T0)/T2) + ((q2 - q0)/(q2 + (0.622 / (1 - 0.622)))))).item()
phi = 1
if (Ri > 0.01) & (Ri <= 0.2):
phi = np.power(1-5*Ri,2)
elif Ri > 0.2:
phi = 0
if Ri >= 0:
phi = (np.power((1 + (10 * Ri)),-1)).item()
elif Ri < 0:
phi = (1 - ((10 * Ri) * np.power((1 + ((10 * C_hn) * (np.sqrt(-Ri) / fz))),-1))).item()

# Tubulent exchange coefficient:
C_te = C_hn * phi

# Sensible heat flux
H = rho * spec_heat_air * Cs_t * u2 * (T2-T0) * phi * np.cos(np.radians(SLOPE))
H = rho * spec_heat_air * C_te * u2 * (T2-T0) * np.cos(np.radians(SLOPE))

# Latent heat flux
LE = rho * Lv * Cs_q * u2 * (q2-q0) * phi * np.cos(np.radians(SLOPE))
LE = rho * Lv * C_te * u2 * (q2 - q0) * np.cos(np.radians(SLOPE))

else:
raise ValueError("Stability correction",stability_correction,"is not supported") #numba refuses to print str(list)
raise ValueError("Stability correction",turbulent_fluxes_method,"is not supported") #numba refuses to print str(list)

# Outgoing longwave radiation
Lo = -surface_emission_coeff * sigma * np.power(T0, 4.0)

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