From 34e27f88c95b422c21689aea0e8092e2555ad86b Mon Sep 17 00:00:00 2001
From: sbiri <sbiri@noc.ac.uk>
Date: Fri, 12 Nov 2021 10:58:55 +0000
Subject: [PATCH] changed S80 cdn
---
Code/flux_subs.py | 266 ++++++++++++++++++++++++----------------------
1 file changed, 141 insertions(+), 125 deletions(-)
diff --git a/Code/flux_subs.py b/Code/flux_subs.py
index c31849d..6404b7a 100755
--- a/Code/flux_subs.py
+++ b/Code/flux_subs.py
@@ -3,9 +3,10 @@ from util_subs import (kappa, visc_air)
# ---------------------------------------------------------------------
+
def cdn_calc(u10n, usr, Ta, grav, meth):
"""
- Calculates neutral drag coefficient
+ Calculate neutral drag coefficient.
Parameters
----------
@@ -25,19 +26,18 @@ def cdn_calc(u10n, usr, Ta, grav, meth):
zo : float
"""
cdn = np.zeros(Ta.shape)*np.nan
- if (meth == "S80"): # eq. 14 Smith 1980
- cdn = (0.61+0.063*u10n)*0.001
- elif (meth == "LP82"):
+ if meth == "S80": # eq. 14 Smith 1980
+ cdn = np.maximum((0.61+0.063*u10n)*0.001, (0.61+0.063*6)*0.001)
+ elif meth == "LP82":
# Large & Pond 1981 u10n <11m/s & eq. 21 Large & Pond 1982
cdn = np.where(u10n < 11, 1.2*0.001, (0.49+0.065*u10n)*0.001)
- elif (meth == "S88" or meth == "UA" or meth == "ecmwf" or meth == "C30" or
- meth == "C35" or meth == "Beljaars"): # or meth == "C40"
+ elif meth in ["S88", "UA", "ecmwf", "C30", "C35", "Beljaars"]:
cdn = cdn_from_roughness(u10n, usr, Ta, grav, meth)
- elif (meth == "YT96"):
+ elif meth == "YT96":
# convert usr in eq. 21 to cdn to expand for low wind speeds
cdn = np.power((0.10038+u10n*2.17e-3+np.power(u10n, 2)*2.78e-3 -
np.power(u10n, 3)*4.4e-5)/u10n, 2)
- elif (meth == "NCAR"): # eq. 11 Large and Yeager 2009
+ elif meth == "NCAR": # eq. 11 Large and Yeager 2009
cdn = np.where(u10n > 0.5, (0.142+2.7/u10n+u10n/13.09 -
3.14807e-10*np.power(u10n, 6))*1e-3,
(0.142+2.7/0.5+0.5/13.09 -
@@ -45,17 +45,16 @@ def cdn_calc(u10n, usr, Ta, grav, meth):
cdn = np.where(u10n > 33, 2.34e-3, np.copy(cdn))
cdn = np.maximum(np.copy(cdn), 0.1e-3)
else:
- raise ValueError("unknown method cdn: "+meth)
+ raise ValueError("Unknown method cdn: "+meth)
zo = 10/np.exp(kappa/np.sqrt(cdn))
-
return cdn, zo
# ---------------------------------------------------------------------
def cdn_from_roughness(u10n, usr, Ta, grav, meth):
"""
- Calculates neutral drag coefficient from roughness length
+ Calculate neutral drag coefficient from roughness length.
Parameters
----------
@@ -73,33 +72,33 @@ def cdn_from_roughness(u10n, usr, Ta, grav, meth):
-------
cdn : float
"""
- #cdn = (0.61+0.063*u10n)*0.001
+ # cdn = (0.61+0.063*u10n)*0.001
zo, zc, zs = np.zeros(Ta.shape), np.zeros(Ta.shape), np.zeros(Ta.shape)
for it in range(5):
- if (meth == "S88"):
+ if meth == "S88":
# Charnock roughness length (eq. 4 in Smith 88)
zc = 0.011*np.power(usr, 2)/grav
# smooth surface roughness length (eq. 6 in Smith 88)
zs = 0.11*visc_air(Ta)/usr
- zo = zc + zs # eq. 7 & 8 in Smith 88
- elif (meth == "UA"):
+ zo = zc + zs # eq. 7 & 8 in Smith 88
+ elif meth == "UA":
# valid for 0<u<18m/s # Zeng et al. 1998 (24)
zo = 0.013*np.power(usr, 2)/grav+0.11*visc_air(Ta)/usr
- elif (meth == "C30"): # eq. 25 Fairall et al. 1996a
+ elif meth == "C30": # eq. 25 Fairall et al. 1996a
a = 0.011*np.ones(Ta.shape)
a = np.where(u10n > 10, 0.011+(u10n-10)*(0.018-0.011)/(18-10),
np.where(u10n > 18, 0.018, a))
zo = a*np.power(usr, 2)/grav+0.11*visc_air(Ta)/usr
- elif (meth == "C35"): # eq.6-11 Edson et al. (2013)
+ elif meth == "C35": # eq.6-11 Edson et al. (2013)
zo = (0.11*visc_air(Ta)/usr +
np.minimum(0.0017*19-0.0050, 0.0017*u10n-0.0050) *
np.power(usr, 2)/grav)
- elif ((meth == "ecmwf" or meth == "Beljaars")):
+ elif meth in ["ecmwf", "Beljaars"]:
# eq. (3.26) p.38 over sea IFS Documentation cy46r1
zo = 0.018*np.power(usr, 2)/grav+0.11*visc_air(Ta)/usr
else:
- raise ValueError("unknown method for cdn_from_roughness "+meth)
-
+ raise ValueError("Unknown method for cdn_from_roughness "+meth)
+
cdn = np.power(kappa/np.log(10/zo), 2)
return cdn
# ---------------------------------------------------------------------
@@ -107,7 +106,7 @@ def cdn_from_roughness(u10n, usr, Ta, grav, meth):
def cd_calc(cdn, hin, hout, psim):
"""
- Calculates drag coefficient at reference height
+ Calculate drag coefficient at reference height.
Parameters
----------
@@ -131,7 +130,7 @@ def cd_calc(cdn, hin, hout, psim):
def ctqn_calc(corq, zol, cdn, usr, zo, Ta, meth):
"""
- Calculates neutral heat and moisture exchange coefficients
+ Calculate neutral heat and moisture exchange coefficients.
Parameters
----------
@@ -156,49 +155,49 @@ def ctqn_calc(corq, zol, cdn, usr, zo, Ta, meth):
zotq : float
roughness length for t or q
"""
- if (meth == "S80" or meth == "S88" or meth == "YT96"):
+ if meth in ["S80", "S88", "YT96"]:
cqn = np.ones(Ta.shape)*1.20*0.001 # from S88
ctn = np.ones(Ta.shape)*1.00*0.001
zot = 10/(np.exp(np.power(kappa, 2) / (ctn*np.log(10/zo))))
zoq = 10/(np.exp(np.power(kappa, 2) / (cqn*np.log(10/zo))))
- elif (meth == "LP82"):
+ elif meth == "LP82":
cqn = np.where((zol <= 0), 1.15*0.001, 1*0.001)
ctn = np.where((zol <= 0), 1.13*0.001, 0.66*0.001)
zot = 10/(np.exp(np.power(kappa, 2) / (ctn*np.log(10/zo))))
zoq = 10/(np.exp(np.power(kappa, 2) / (cqn*np.log(10/zo))))
- elif (meth == "NCAR"):
+ elif meth == "NCAR":
cqn = np.maximum(34.6*0.001*np.sqrt(cdn), 0.1e-3)
ctn = np.maximum(np.where(zol <= 0, 32.7*0.001*np.sqrt(cdn),
18*0.001*np.sqrt(cdn)), 0.1e-3)
zot = 10/(np.exp(np.power(kappa, 2) / (ctn*np.log(10/zo))))
zoq = 10/(np.exp(np.power(kappa, 2) / (cqn*np.log(10/zo))))
- elif (meth == "UA"):
+ elif meth == "UA":
# Zeng et al. 1998 (25)
rr = usr*zo/visc_air(Ta)
zoq = zo/np.exp(2.67*np.power(rr, 1/4)-2.57)
zot = np.copy(zoq)
cqn = np.power(kappa, 2)/(np.log(10/zo)*np.log(10/zoq))
ctn = np.power(kappa, 2)/(np.log(10/zo)*np.log(10/zoq))
- elif (meth == "C30"):
+ elif meth == "C30":
rr = zo*usr/visc_air(Ta)
zoq = np.minimum(5e-5/np.power(rr, 0.6), 1.15e-4) # moisture roughness
zot = np.copy(zoq) # temperature roughness
cqn = np.power(kappa, 2)/np.log(10/zo)/np.log(10/zoq)
ctn = np.power(kappa, 2)/np.log(10/zo)/np.log(10/zot)
- elif (meth == "C35"):
+ elif meth == "C35":
rr = zo*usr/visc_air(Ta)
- zoq = np.minimum(5.8e-5/np.power(rr, 0.72), 1.6e-4) # moisture roughness
+ zoq = np.minimum(5.8e-5/np.power(rr, 0.72), 1.6e-4) # moisture rough.
zot = np.copy(zoq) # temperature roughness
cqn = np.power(kappa, 2)/np.log(10/zo)/np.log(10/zoq)
ctn = np.power(kappa, 2)/np.log(10/zo)/np.log(10/zot)
- elif (meth == "ecmwf" or meth == "Beljaars"):
+ elif meth in ["ecmwf", "Beljaars"]:
# eq. (3.26) p.38 over sea IFS Documentation cy46r1
zot = 0.40*visc_air(Ta)/usr
zoq = 0.62*visc_air(Ta)/usr
cqn = np.power(kappa, 2)/np.log(10/zo)/np.log(10/zoq)
ctn = np.power(kappa, 2)/np.log(10/zo)/np.log(10/zot)
else:
- raise ValueError("unknown method ctqn: "+meth)
+ raise ValueError("Unknown method ctqn: "+meth)
if corq == "ct":
ctqn = ctn
@@ -207,15 +206,15 @@ def ctqn_calc(corq, zol, cdn, usr, zo, Ta, meth):
ctqn = cqn
zotq = zoq
else:
- raise ValueError("unknown flag - should be ct or cq: "+corq)
-
+ raise ValueError("Unknown flag - should be ct or cq: "+corq)
+
return ctqn, zotq
# ---------------------------------------------------------------------
-# ---------------------------------------------------------------------
+
def ctq_calc(cdn, cd, ctqn, hin, hout, psitq):
"""
- Calculates heat and moisture exchange coefficients at reference height
+ Calculate heat and moisture exchange coefficients at reference height.
Parameters
----------
@@ -238,14 +237,15 @@ def ctq_calc(cdn, cd, ctqn, hin, hout, psitq):
heat or moisture exchange coefficient
"""
ctq = (ctqn*np.sqrt(cd/cdn) /
- (1+ctqn*((np.log(hin/hout)-psitq)/(kappa*np.sqrt(cdn)))))
+ (1+ctqn*((np.log(hin/hout)-psitq)/(kappa*np.sqrt(cdn)))))
return ctq
# ---------------------------------------------------------------------
+
def get_stabco(meth):
- """
- Gives the coefficients \\alpha, \\beta, \\gamma for stability functions
+ r"""
+ Give the coefficients $\alpha$, $\beta$, $\gamma$ for stability functions.
Parameters
----------
@@ -256,16 +256,14 @@ def get_stabco(meth):
coeffs : float
"""
alpha, beta, gamma = 0, 0, 0
- if (meth == "S80" or meth == "S88" or meth == "NCAR" or
- meth == "UA" or meth == "ecmwf" or meth == "C30" or
- meth == "C35" or meth == "Beljaars"):
+ if meth in ["S80", "S88", "NCAR", "UA", "ecmwf", "C30", "C35", "Beljaars"]:
alpha, beta, gamma = 16, 0.25, 5 # Smith 1980, from Dyer (1974)
- elif (meth == "LP82"):
+ elif meth == "LP82":
alpha, beta, gamma = 16, 0.25, 7
- elif (meth == "YT96"):
+ elif meth == "YT96":
alpha, beta, gamma = 20, 0.25, 5
else:
- raise ValueError("unknown method stabco: "+meth)
+ raise ValueError("Unknown method stabco: "+meth)
coeffs = np.zeros(3)
coeffs[0] = alpha
coeffs[1] = beta
@@ -276,7 +274,7 @@ def get_stabco(meth):
def psim_calc(zol, meth):
"""
- Calculates momentum stability function
+ Calculate momentum stability function.
Parameters
----------
@@ -288,11 +286,11 @@ def psim_calc(zol, meth):
-------
psim : float
"""
- if (meth == "ecmwf"):
+ if meth == "ecmwf":
psim = psim_ecmwf(zol)
- elif (meth == "C30" or meth == "C35"):
+ elif meth in ["C30", "C35"]:
psim = psiu_26(zol, meth)
- elif (meth == "Beljaars"): # Beljaars (1997) eq. 16, 17
+ elif meth == "Beljaars": # Beljaars (1997) eq. 16, 17
psim = np.where(zol < 0, psim_conv(zol, meth), psi_Bel(zol))
else:
psim = np.where(zol < 0, psim_conv(zol, meth),
@@ -303,7 +301,7 @@ def psim_calc(zol, meth):
def psit_calc(zol, meth):
"""
- Calculates heat stability function
+ Calculate heat stability function.
Parameters
----------
@@ -316,12 +314,12 @@ def psit_calc(zol, meth):
-------
psit : float
"""
- if (meth == "ecmwf"):
+ if meth == "ecmwf":
psit = np.where(zol < 0, psi_conv(zol, meth),
psi_ecmwf(zol))
- elif (meth == "C30" or meth == "C35"):
+ elif meth in ["C30", "C35"]:
psit = psit_26(zol)
- elif (meth == "Beljaars"): # Beljaars (1997) eq. 16, 17
+ elif meth == "Beljaars": # Beljaars (1997) eq. 16, 17
psit = np.where(zol < 0, psi_conv(zol, meth), psi_Bel(zol))
else:
psit = np.where(zol < 0, psi_conv(zol, meth),
@@ -332,7 +330,7 @@ def psit_calc(zol, meth):
def psi_Bel(zol):
"""
- Calculates momentum/heat stability function
+ Calculate momentum/heat stability function.
Parameters
----------
@@ -353,8 +351,9 @@ def psi_Bel(zol):
def psi_ecmwf(zol):
"""
- Calculates heat stability function for stable conditions
- for method ecmwf
+ Calculate heat stability function for stable conditions.
+
+ For method ecmwf
Parameters
----------
@@ -374,7 +373,7 @@ def psi_ecmwf(zol):
def psit_26(zol):
"""
- Computes temperature structure function as in C35
+ Compute temperature structure function as in C35.
Parameters
----------
@@ -402,7 +401,7 @@ def psit_26(zol):
def psi_conv(zol, meth):
"""
- Calculates heat stability function for unstable conditions
+ Calculate heat stability function for unstable conditions.
Parameters
----------
@@ -425,7 +424,7 @@ def psi_conv(zol, meth):
def psi_stab(zol, meth):
"""
- Calculates heat stability function for stable conditions
+ Calculate heat stability function for stable conditions.
Parameters
----------
@@ -447,7 +446,7 @@ def psi_stab(zol, meth):
def psim_ecmwf(zol):
"""
- Calculates momentum stability function for method ecmwf
+ Calculate momentum stability function for method ecmwf.
Parameters
----------
@@ -472,7 +471,7 @@ def psim_ecmwf(zol):
def psiu_26(zol, meth):
"""
- Computes velocity structure function C35
+ Compute velocity structure function C35.
Parameters
----------
@@ -483,10 +482,10 @@ def psiu_26(zol, meth):
-------
psi : float
"""
- if (meth == "C30"):
- dzol = np.minimum(0.35*zol, 50) # stable
+ if meth == "C30":
+ dzol = np.minimum(0.35*zol, 50) # stable
psi = -1*((1+zol)+0.6667*(zol-14.28)*np.exp(-dzol)+8.525)
- k = np.where(zol < 0) # unstable
+ k = np.where(zol < 0) # unstable
x = (1-15*zol[k])**0.25
psik = (2*np.log((1+x)/2)+np.log((1+x*x)/2)-2*np.arctan(x) +
2*np.arctan(1))
@@ -496,26 +495,27 @@ def psiu_26(zol, meth):
4*np.arctan(1)/np.sqrt(3))
f = zol[k]**2/(1+zol[k]**2)
psi[k] = (1-f)*psik+f*psic
- elif (meth == "C35"): # or meth == "C40"
+ elif meth == "C35":
dzol = np.minimum(50, 0.35*zol) # stable
a, b, c, d = 0.7, 3/4, 5, 0.35
psi = -1*(a*zol+b*(zol-c/d)*np.exp(-dzol)+b*c/d)
k = np.where(zol < 0) # unstable
x = np.power(1-15*zol[k], 1/4)
- psik = 2*np.log((1+x)/2)+np.log((1+x*x)/2)-2*np.arctan(x)+2*np.arctan(1)
+ psik = 2*np.log((1+x)/2)+np.log((1+x*x)/2) - \
+ 2*np.arctan(x)+2*np.arctan(1)
x = np.power(1-10.15*zol[k], 1/3)
psic = (1.5*np.log((1+x+np.power(x, 2))/3)-np.sqrt(3) *
np.arctan((1+2*x)/np.sqrt(3))+4*np.arctan(1)/np.sqrt(3))
f = np.power(zol[k], 2)/(1+np.power(zol[k], 2))
psi[k] = (1-f)*psik+f*psic
- return psi
-#------------------------------------------------------------------------------
+ return psi
+# ----------------------------------------------------------------------------
def psim_conv(zol, meth):
"""
- Calculates momentum stability function for unstable conditions
+ Calculate momentum stability function for unstable conditions.
Parameters
----------
@@ -539,7 +539,7 @@ def psim_conv(zol, meth):
def psim_stab(zol, meth):
"""
- Calculates momentum stability function for stable conditions
+ Calculate momentum stability function for stable conditions.
Parameters
----------
@@ -561,7 +561,7 @@ def psim_stab(zol, meth):
def get_gust(beta, Ta, usr, tsrv, zi, grav):
"""
- Computes gustiness
+ Compute gustiness.
Parameters
----------
@@ -582,7 +582,7 @@ def get_gust(beta, Ta, usr, tsrv, zi, grav):
-------
ug : float [m/s]
"""
- if (np.nanmax(Ta) < 200): # convert to K if in Celsius
+ if np.nanmax(Ta) < 200: # convert to K if in Celsius
Ta = Ta+273.16
# minus sign to allow cube root
Bf = (-grav/Ta)*usr*tsrv
@@ -591,9 +591,10 @@ def get_gust(beta, Ta, usr, tsrv, zi, grav):
return ug
# ---------------------------------------------------------------------
+
def get_strs(hin, monob, wind, zo, zot, zoq, dt, dq, cd, ct, cq, meth):
"""
- calculates star wind speed, temperature and specific humidity
+ Calculate star wind speed, temperature and specific humidity.
Parameters
----------
@@ -618,8 +619,8 @@ def get_strs(hin, monob, wind, zo, zot, zoq, dt, dq, cd, ct, cq, meth):
cq : float
moisture exchange coefficient
meth : str
- bulk parameterisation method option: "S80", "S88", "LP82", "YT96", "UA",
- "NCAR", "C30", "C35", "ecmwf", "Beljaars"
+ bulk parameterisation method option: "S80", "S88", "LP82", "YT96",
+ "UA", "NCAR", "C30", "C35", "ecmwf", "Beljaars"
Returns
-------
@@ -631,52 +632,66 @@ def get_strs(hin, monob, wind, zo, zot, zoq, dt, dq, cd, ct, cq, meth):
star specific humidity [g/kg]
"""
- if (meth == "UA"):
-
+ if meth == "UA":
# Zeng et al. 1998
# away from extremes UA follows e.g. S80
- usr = wind*np.power(cd, 1/2)
+ usr = wind*np.sqrt(cd)
tsr = ct*wind*dt/usr
qsr = cq*wind*dq/usr
# momentum
hol0 = hin[0]/np.copy(monob)
# very unstable (Zeng et al. 1998 eq 7)
- usr = np.where(hol0 <= -1.574, wind*kappa / (np.log(-1.574*monob/zo)-psim_calc(-1.574, meth) + psim_calc(zo/monob, meth) + 1.14*(np.power(-hin[0]/monob, 1/3) - np.power(1.574, 1/3))), usr)
+ usr = np.where(
+ hol0 <= -1.574, wind*kappa/(np.log(-1.574*monob/zo) -
+ psim_calc(-1.574, meth) +
+ psim_calc(zo/monob, meth) +
+ 1.14*(np.power(-hin[0]/monob, 1/3) -
+ np.power(1.574, 1/3))), usr)
# very stable (Zeng et al. 1998 eq 10)
- usr = np.where(hol0 > 1, wind*kappa/(np.log(monob/zo)+5 - 5*zo/monob + 5*np.log(hin[0]/monob) + hin[0]/monob-1), usr)
+ usr = np.where(
+ hol0 > 1, wind*kappa/(np.log(monob/zo)+5-5*zo/monob +
+ 5*np.log(hin[0]/monob)+hin[0]/monob-1), usr)
# temperature
hol1 = hin[1]/np.copy(monob)
# very unstable (Zeng et al. 1998 eq 11)
- tsr = np.where(hol1 < -0.465, kappa*dt / (np.log((-0.465*monob)/zot) - psit_calc(-0.465, meth)+0.8*(np.power(0.465, -1/3) - np.power(-hin[1]/monob, -1/3))), tsr)
+ tsr = np.where(
+ hol1 < -0.465, kappa*dt/(np.log((-0.465*monob)/zot) -
+ psit_calc(-0.465, meth) +
+ 0.8*(np.power(0.465, -1/3) -
+ np.power(-hin[1]/monob, -1/3))), tsr)
# very stable (Zeng et al. 1998 eq 14)
- tsr = np.where(hol1 > 1, kappa*(dt) / (np.log(monob/zot)+5 - 5*zot/monob+5*np.log(hin[1]/monob) + hin[1]/monob-1), tsr)
+ tsr = np.where(
+ hol1 > 1, kappa*(dt)/(np.log(monob/zot)+5-5*zot/monob +
+ 5*np.log(hin[1]/monob)+hin[1]/monob-1), tsr)
# humidity
hol2 = hin[2]/monob
# very unstable (Zeng et al. 1998 eq 11)
- qsr = np.where(hol2 < -0.465, kappa*dq / (np.log((-0.465*monob)/zoq) - psit_calc(-0.465, meth)+psit_calc(zoq/monob, meth) + 0.8*(np.power(0.465, -1/3) - np.power(-hin[2]/monob, -1/3))), qsr)
+ qsr = np.where(
+ hol2 < -0.465, kappa*dq/(np.log((-0.465*monob)/zoq) -
+ psit_calc(-0.465, meth) +
+ psit_calc(zoq/monob, meth) +
+ 0.8*(np.power(0.465, -1/3) -
+ np.power(-hin[2]/monob, -1/3))), qsr)
# very stable (Zeng et al. 1998 eq 14)
- qsr = np.where(hol2 > 1, kappa*dq / (np.log(monob/zoq)+5-5*zoq/monob + 5*np.log(hin[2]/monob) + hin[2]/monob-1), qsr)
+ qsr = np.where(hol2 > 1, kappa*dq/(np.log(monob/zoq)+5-5*zoq/monob +
+ 5*np.log(hin[2]/monob) +
+ hin[2]/monob-1), qsr)
else:
- usr = wind*np.power(cd, 1/2)
+ usr = wind*np.sqrt(cd)
tsr = ct*wind*dt/usr
qsr = cq*wind*dq/usr
return usr, tsr, qsr
# ---------------------------------------------------------------------
-
-# --------------------------------------------------------------------------------
-# --------------------------------------------------------------------------------
-# ---------------------------------------------------------------------
-
def get_tsrv(tsr, qsr, Ta, qair):
"""
- calculates virtual star temperature
-
+ Calculate virtual star temperature.
+
Parameters
----------
tsr : float
@@ -687,23 +702,24 @@ def get_tsrv(tsr, qsr, Ta, qair):
air temperature (K)
qair : float
air specific humidity (g/kg)
-
+
Returns
-------
tsrv : float
virtual star temperature (K)
-
+
"""
# as in aerobulk One_on_L in mod_phymbl.f90
tsrv = tsr*(1+0.6077*qair)+0.6077*Ta*qsr
return tsrv
-
+
# ---------------------------------------------------------------------
-
+
+
def get_Rb(grav, usr, hin_u, hin_t, tv, dtv, wind, monob, meth):
"""
- calculates bulk Richardson number
-
+ Calculate bulk Richardson number.
+
Parameters
----------
grav : float
@@ -727,30 +743,31 @@ def get_Rb(grav, usr, hin_u, hin_t, tv, dtv, wind, monob, meth):
meth : str
bulk parameterisation method option: "S80", "S88", "LP82", "YT96",
"UA", "NCAR", "C30", "C35", "ecmwf", "Beljaars"
-
+
Returns
-------
Rb : float
Richardson number
-
+
"""
# now input dtv
- #tvs = sst*(1+0.6077*qsea) # virtual SST
- #dtv = tv - tvs # virtual air - sea temp. diff
+ # tvs = sst*(1+0.6077*qsea) # virtual SST
+ # dtv = tv - tvs # virtual air - sea temp. diff
# adjust wind to t measurement height
uz = (wind-usr/kappa*(np.log(hin_u/hin_t)-psim_calc(hin_u/monob, meth) +
psim_calc(hin_t/monob, meth)))
Rb = grav*dtv*hin_t/(tv*uz*uz)
-
return Rb
-
+
# ---------------------------------------------------------------------
-
+
+
def get_LRb(Rb, hin_t, monob, zo, zot, meth):
"""
- calculates Monin-Obukhov length following ecmwf (IFS Documentation cy46r1)
+ Calculate Monin-Obukhov length following ecmwf (IFS Documentation cy46r1).
+
default for methods ecmwf and Beljaars
-
+
Parameters
----------
Rb : float
@@ -766,27 +783,28 @@ def get_LRb(Rb, hin_t, monob, zo, zot, meth):
meth : str
bulk parameterisation method option: "S80", "S88", "LP82", "YT96",
"UA", "NCAR", "C30", "C35", "ecmwf", "Beljaars"
-
+
Returns
-------
monob : float
M-O length (m)
-
+
"""
- zol = (Rb*(np.power(np.log((hin_t+zo)/zo)-psim_calc((hin_t+zo) /
- monob, meth) + psim_calc(zo/monob, meth), 2) /
- (np.log((hin_t+zo)/zot) -
- psit_calc((hin_t+zo)/monob, meth) +
- psit_calc(zot/monob, meth))))
+ zol = Rb*(np.power(
+ np.log((hin_t+zo)/zo)-psim_calc((hin_t+zo)/monob, meth) +
+ psim_calc(zo/monob, meth), 2)/(np.log((hin_t+zo)/zot) -
+ psit_calc((hin_t+zo)/monob, meth) +
+ psit_calc(zot/monob, meth)))
monob = hin_t/zol
return monob
-
+
# ---------------------------------------------------------------------
-
+
+
def get_Ltsrv(tsrv, grav, tv, usr):
"""
- calculates Monin-Obukhov length from tsrv
-
+ Calculate Monin-Obukhov length from tsrv.
+
Parameters
----------
tsrv : float
@@ -797,21 +815,19 @@ def get_Ltsrv(tsrv, grav, tv, usr):
virtual temperature (K)
usr : float
friction wind speed (m/s)
-
+
Returns
-------
monob : float
M-O length (m)
-
+
"""
- #tmp = (g*kappa*tsrv /
+ # tmp = (g*kappa*tsrv /
# np.maximum(np.power(usr, 2)*Ta*(1+0.6077*qair), 1e-9))
- #tmp = np.minimum(np.abs(tmp), 200)*np.sign(tmp)
- #monob = 1/np.copy(tmp)
-
+ # tmp = np.minimum(np.abs(tmp), 200)*np.sign(tmp)
+ # monob = 1/np.copy(tmp)
tsrv = np.maximum(np.abs(tsrv), 1e-9)*np.sign(tsrv)
monob = (np.power(usr, 2)*tv)/(grav*kappa*tsrv)
-
return monob
-
+
# ---------------------------------------------------------------------
--
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