def tinvert(thetalVal, wT, p):
"""
tinvert(thetalVal, wT, p)
Determines the temperature corresponding to the specified liquid
potential temperature.
Parameters
- - - - - -
thetalVal : float
Liquid potential temperature of the air parcel (K).
wT : float
Total water mixing ratio (kg/kg),
p : float
Pressure (Pa).
Returns
- - - -
T : float
Temperature (K) corresponding to 'thetal'.
wv : float
Vapour mixing ratio (kg/kg) at 'p'.
wl : float
Liquid mixing ratio (kg/kg) at 'p'.
Raises
- - - -
NameError
If the value of 'p' is greater than 100000 Pa.
Examples
- - - - -
>>> [T, wv, wl] = tinvert(300., 0.01, 8.e4)
>>> T
282.77595546332617
>>> wv
0.0094462286004982372
>>> wl
0.00055377139950176305
>>> [T, wv, wl] = tinvert(300., 0.01, 8.e6)
Traceback (most recent call last):
...
NameError: expecting pressure level less than 100000 Pa
"""
if p > 1.e5:
raise NameError, \
'expecting pressure level less than 100000 Pa'
# The temperature has to be somewhere between 'thetal'
# (T at surface) and -40 deg. C (no ice).
T = scipy.optimize.zeros.brenth(Tchange, 233.15, thetalVal, \
(thetalVal, wT, p))
[wv, wl] = findWvWl(T, wT, p)
return T, wv, wl
def tinvert(thetalVal, wT, p):
"""
tinvert(thetalVal, wT, p)
Determines the temperature corresponding to the specified liquid
potential temperature.
Parameters
- - - - - -
thetalVal : float
Liquid potential temperature of the air parcel (K).
wT : float
Total water mixing ratio (kg/kg),
p : float
Pressure (Pa).
Returns
- - - -
T : float
Temperature (K) corresponding to 'thetal'.
wv : float
Vapour mixing ratio (kg/kg) at 'p'.
wl : float
Liquid mixing ratio (kg/kg) at 'p'.
Raises
- - - -
NameError
If the value of 'p' is greater than 100000 Pa.
Examples
- - - - -
>>> [T, wv, wl] = tinvert(300., 0.01, 8.e4)
>>> T
282.77595546332617
>>> wv
0.0094462286004982372
>>> wl
0.00055377139950176305
>>> [T, wv, wl] = tinvert(300., 0.01, 8.e6)
Traceback (most recent call last):
...
NameError: expecting pressure level less than 100000 Pa
"""
if p > 1.0e5:
raise NameError, "expecting pressure level less than 100000 Pa"
# The temperature has to be somewhere between 'thetal'
# (T at surface) and -40 deg. C (no ice).
T = scipy.optimize.zeros.brenth(Tchange, 233.15, thetalVal, (thetalVal, wT, p))
[wv, wl] = findWvWl(T, wT, p)
return T, wv, wl
def Tchange(Tguess, thetalVal, wT, p):
[wv, wl] = findWvWl(Tguess, wT, p)
# Iterate on Tguess until this function is zero to within the
# default tolerance in brenth.
return thetalVal - thetal(Tguess, p, wv, wl)
def Tchange(Tguess, thetalVal, wT, p):
[wv, wl] = findWvWl(Tguess, wT, p)
# Iterate on Tguess until this function is zero to within the
# default tolerance in brenth.
return thetalVal - thetal(Tguess, p, wv, wl)
