From de5d23457c5a346d1a9b9321199c8597d5583041 Mon Sep 17 00:00:00 2001
From: sbiri <sbiri@noc.ac.uk>
Date: Thu, 18 Jun 2020 07:15:27 +0100
Subject: [PATCH] Cleaned up subroutines. changed get_heights to read in also
3xn instead of just 3x1 inputs.
---
flux_subs.py | 180 ++++++++++++---------------------------------------
1 file changed, 40 insertions(+), 140 deletions(-)
diff --git a/flux_subs.py b/flux_subs.py
index 566259c..4a149d7 100755
--- a/flux_subs.py
+++ b/flux_subs.py
@@ -1,4 +1,5 @@
import numpy as np
+from VaporPressure import VaporPressure
CtoK = 273.16 # 273.15
""" Conversion factor for (^\circ\,C) to (^\\circ\\,K) """
@@ -25,6 +26,7 @@ def cdn_calc(u10n, Ta, Tp, lat, meth="S80"):
-------
cdn : float
"""
+ cdn = np.zeros(Ta.shape)*np.nan
if (meth == "S80"):
cdn = np.where(u10n <= 3, (0.61+0.567/u10n)*0.001,
(0.61+0.063*u10n)*0.001)
@@ -101,7 +103,7 @@ def cdn_from_roughness(u10n, Ta, Tp, lat, meth="S88"):
zo = a*np.power(usr, 2)/g+0.11*visc_air(Ta)/usr # surface roughness
elif (meth == "ERA5"):
# eq. (3.26) p.40 over sea IFS Documentation cy46r1
- zo = 0.11*visc_air(Ta)/usr+0.018*np.power(usr, 2)/g
+ zo = 0.018*np.power(usr, 2)/g+0.11*visc_air(Ta)/usr
else:
print("unknown method for cdn_from_roughness "+meth)
cdnn = (kappa/np.log(10/zo))**2
@@ -215,8 +217,7 @@ def cd_calc(cdn, height, ref_ht, psim):
-------
cd : float
"""
- cd = (cdn*np.power(1+np.sqrt(cdn)*np.power(kappa, -1) *
- (np.log(height/ref_ht)-psim), -2))
+ cd = (cdn/np.power(1+(np.sqrt(cdn)*(np.log(height/ref_ht)-psim))/kappa, 2))
return cd
# ---------------------------------------------------------------------
@@ -250,8 +251,10 @@ def ctcq_calc(cdn, cd, ctn, cqn, h_t, h_q, ref_ht, psit, psiq):
ct : float
cq : float
"""
- ct = ctn*(cd/cdn)**0.5/(1+ctn*((np.log(h_t/ref_ht)-psit)/(kappa*cdn**0.5)))
- cq = cqn*(cd/cdn)**0.5/(1+cqn*((np.log(h_q/ref_ht)-psiq)/(kappa*cdn**0.5)))
+ ct = (ctn*np.sqrt(cd/cdn) /
+ (1+ctn*((np.log(h_t/ref_ht)-psit)/(kappa*np.sqrt(cdn)))))
+ cq = (cqn*np.sqrt(cd/cdn) /
+ (1+cqn*((np.log(h_q/ref_ht)-psiq)/(kappa*np.sqrt(cdn)))))
return ct, cq
# ---------------------------------------------------------------------
@@ -401,8 +404,8 @@ def psi_conv(zol, alpha, beta, gamma):
-------
psit : float
"""
- xtmp = (1-alpha*zol)**beta
- psit = 2*np.log((1+xtmp**2)*0.5)
+ xtmp = np.power(1-alpha*zol, beta)
+ psit = 2*np.log((1+np.power(xtmp, 2))*0.5)
return psit
# ---------------------------------------------------------------------
@@ -462,8 +465,8 @@ def psim_conv(zol, alpha, beta, gamma):
-------
psim : float
"""
- xtmp = (1-alpha*zol)**beta
- psim = (2*np.log((1+xtmp)*0.5)+np.log((1+xtmp**2)*0.5) -
+ xtmp = np.power(1-alpha*zol, beta)
+ psim = (2*np.log((1+xtmp)*0.5)+np.log((1+np.power(xtmp, 2))*0.5) -
2*np.arctan(xtmp)+np.pi/2)
return psim
# ---------------------------------------------------------------------
@@ -525,33 +528,6 @@ def psiu_26(zol, meth):
f = np.power(zol[k], 2)/(1+np.power(zol[k], 2))
psi[k] = (1-f)*psik+f*psic
return psi
-# ------------------------------------------------------------------------------
-
-
-def psiu_40(zol):
- """ Computes velocity structure function C35
-
- Parameters
- ----------
- zol : float
- height over MO length
-
- Returns
- -------
- psi : float
- """
- dzol = np.where(0.35*zol > 50, 50, 0.35*zol) # stable
- a, b, c, d = 1, 3/4, 5, 0.35
- psi = -(a*zol+b*(zol-c/d)*np.exp(-dzol)+b*c/d)
- k = np.where(zol < 0) # unstable
- x = (1-18*zol[k])**0.25
- psik = 2*np.log((1+x)/2)+np.log((1+x**2)/2)-2*np.arctan(x)+2*np.arctan(1)
- x = (1-10*zol[k])**0.3333
- psic = (1.5*np.log((1+x+x**2)/3)-np.sqrt(3)*np.arctan((1+2*x)/np.sqrt(3)) +
- 4*np.arctan(1)/np.sqrt(3))
- f = zol[k]**2/(1+zol[k]**2)
- psi[k] = (1-f)*psik+f*psic
- return psi
# ---------------------------------------------------------------------
@@ -655,7 +631,7 @@ def get_gust(beta, Ta, usr, tsrv, zi, lat):
# ---------------------------------------------------------------------
-def get_heights(h):
+def get_heights(h, dim_len):
""" Reads input heights for velocity, temperature and humidity
Parameters
@@ -667,110 +643,28 @@ def get_heights(h):
-------
hh : array
"""
- hh = np.zeros(3)
+ hh = np.zeros((3, dim_len))
if (type(h) == float or type(h) == int):
- hh[0], hh[1], hh[2] = h, h, h
- elif len(h) == 2:
- hh[0], hh[1], hh[2] = h[0], h[1], h[1]
- else:
- hh[0], hh[1], hh[2] = h[0], h[1], h[2]
+ hh[0, :], hh[1, :], hh[2, :] = h, h, h
+ elif (len(h) == 2 and h.ndim == 1):
+ hh[0, :], hh[1, :], hh[2, :] = h[0], h[1], h[1]
+ elif (len(h) == 3 and h.ndim == 1):
+ hh[0, :], hh[1, :], hh[2, :] = h[0], h[1], h[2]
+ elif (len(h) == 1 and h.ndim == 2):
+ hh = np.zeros((3, h.shape[1]))
+ hh[0, :], hh[1, :], hh[2, :] = h[0, :], h[0, :], h[0, :]
+ elif (len(h) == 2 and h.ndim == 2):
+ hh = np.zeros((3, h.shape[1]))
+ hh[0, :], hh[1, :], hh[2, :] = h[0, :], h[1, :], h[1, :]
+ elif (len(h) == 3 and h.ndim == 2):
+ hh = np.zeros((3, h.shape[1]))
+ hh = np.copy(h)
return hh
# ---------------------------------------------------------------------
-def svp_calc(T):
- """ Calculates saturation vapour pressure
-
- Parameters
- ----------
- T : float
- temperature (K)
-
- Returns
- -------
- svp : float
- in mb, pure water
- """
- if (np.nanmin(T) < 200): # if T in Celsius convert to Kelvin
- T = T+273.16
- svp = np.where(np.isnan(T), np.nan, 2.1718e08*np.exp(-4157/(T-33.91-0.16)))
- return svp
-# ---------------------------------------------------------------------
-
-
-def qsea_calc(sst, pres):
- """ Computes specific humidity of the sea surface air
-
- Parameters
- ----------
- sst : float
- sea surface temperature (K)
- pres : float
- pressure (mb)
-
- Returns
- -------
- qsea : float
- (kg/kg)
- """
- if (np.nanmin(sst) < 200): # if sst in Celsius convert to Kelvin
- sst = sst+273.16
- ed = svp_calc(sst)
- e = 0.98*ed
- qsea = (0.622*e)/(pres-0.378*e)
- qsea = np.where(~np.isnan(sst+pres), qsea, np.nan)
- return qsea
-# ---------------------------------------------------------------------
-
-
-def q_calc(Ta, rh, pres):
- """ Computes specific humidity following Haltiner and Martin p.24
-
- Parameters
- ----------
- Ta : float
- air temperature (K)
- rh : float
- relative humidity (%)
- pres : float
- air pressure (mb)
-
- Returns
- -------
- qair : float, (kg/kg)
- """
- if (np.nanmin(Ta) < 200): # if sst in Celsius convert to Kelvin
- Ta = Ta+273.15
- e = np.where(np.isnan(Ta+rh+pres), np.nan, svp_calc(Ta)*rh*0.01)
- qair = np.where(np.isnan(e), np.nan, ((0.62197*e)/(pres-0.378*e)))
- return qair
-# ------------------------------------------------------------------------------
-
-
-def bucksat(T, P):
- """ Computes saturation vapor pressure (mb) as in C35
-
- Parameters
- ----------
- T : float
- temperature ($^\\circ$\\,C)
- P : float
- pressure (mb)
-
- Returns
- -------
- exx : float
- """
- T = np.asarray(T)
- if (np.nanmin(T) > 200): # if Ta in Kelvin convert to Celsius
- T = T-CtoK
- exx = 6.1121*np.exp(17.502*T/(T+240.97))*(1.0007+3.46e-6*P)
- return exx
-# ------------------------------------------------------------------------------
-
-
-def qsat26sea(T, P):
- """ Computes surface saturation specific humidity (g/kg) as in C35
+def qsat_sea(T, P, qmeth):
+ """ Computes surface saturation specific humidity (g/kg)
Parameters
----------
@@ -778,6 +672,8 @@ def qsat26sea(T, P):
temperature ($^\\circ$\\,C)
P : float
pressure (mb)
+ qmeth : str
+ method to calculate vapor pressure
Returns
-------
@@ -786,14 +682,14 @@ def qsat26sea(T, P):
T = np.asarray(T)
if (np.nanmin(T) > 200): # if Ta in Kelvin convert to Celsius
T = T-CtoK
- ex = bucksat(T, P)
+ ex = VaporPressure(T, P, 'liquid', qmeth)
es = 0.98*ex # reduction at sea surface
qs = 622*es/(P-0.378*es)
return qs
# ------------------------------------------------------------------------------
-def qsat26air(T, P, rh):
+def qsat_air(T, P, rh, qmeth):
""" Computes saturation specific humidity (g/kg) as in C35
Parameters
@@ -802,6 +698,10 @@ def qsat26air(T, P, rh):
temperature ($^\circ$\,C)
P : float
pressure (mb)
+ rh : float
+ relative humidity (%)
+ qmeth : str
+ method to calculate vapor pressure
Returns
-------
@@ -811,10 +711,10 @@ def qsat26air(T, P, rh):
T = np.asarray(T)
if (np.nanmin(T) > 200): # if Ta in Kelvin convert to Celsius
T = T-CtoK
- es = bucksat(T, P)
+ es = VaporPressure(T, P, 'liquid', qmeth)
em = 0.01*rh*es
q = 622*em/(P-0.378*em)
- return q, em
+ return q
# ---------------------------------------------------------------------
--
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