minor edits
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@ -8,7 +8,7 @@ s0 = 0.00 # Initial Balloon Altitude in [m]
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p0 = 101325 # (Initial) Air Pressure in [Pa]
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rho_a = 1.2250 # (Initial) Air Density in [kg/m^3]
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tmax = 50000
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tmax = 10000
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T_a = 288.15 # (Initial) Air Temperature in [K]
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g = 9.80665 # local gravitation in [m/s^2]
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@ -101,8 +101,10 @@ while t < tmax:
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dv_z = (I - np.sign(v_z) * D - G) / m_B * dt
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# print(z, v_z)
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v_z += dv_z * dt
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z += v_z * dt
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z += v_z * dt + 0.5 * dv_z * dt
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t += dt
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@ -1,6 +1,23 @@
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import numpy as np
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from input.user_input import *
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c_d = 0.47 # drag coefficient balloon (spherical) [-]
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def drag(c_d, rho_air, d_b, v):
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return 0.125 * np.pi * c_d * rho_air * (d_b * v) ** 2
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def Cd_model(fr, re, a_top):
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k_cd = 19.8
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k1 = 1.50 * 10 ** 7
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k2 = 0.86 * 10 ** (-7)
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a_top0 = np.pi / 4 * 1.383 * V_design ** (2/3) # a_top0 for zero-pressure shape
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value = 0.2 * k_cd/fr * (k1/re + k2 * re) * a_top / (a_top0 ** (3/2))
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if value > 1.6:
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value = 1.6
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return value
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c_d = 0.8 # 0.47
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def drag(c_d, rho_air, A_proj, v):
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return 0.5 * c_d * rho_air * A_proj * v ** 2
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@ -3,26 +3,30 @@ import numpy as np
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# ATMOSPHERE MODEL:
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def T_air(h):
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if h >= 0 and h <= 11000:
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if 0 <= h <= 11000:
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res = 288.15 - 0.0065 * h
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return res
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elif h > 11000 and h <= 20000:
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elif 11000 < h <= 20000:
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res = 216.65
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return res
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elif h >= 20000:
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res = 216.65 + 0.0010 * (h - 20000)
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return res
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return res
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def p_air(h):
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if h >= 0 and h <= 11000:
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if 0 <= h <= 11000:
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res = 101325 * ((288.15 - 0.0065 * h)/288.15) ** 5.25577
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return res
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elif h > 11000 and h <= 20000:
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elif 11000 < h <= 20000:
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res = 22632 * np.exp(-(h - 11000)/6341.62)
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return res
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elif h > 20000:
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res = 5474.87 * ((216.65 + 0.0010 * (h - 20000))/216.65) ** (-34.163)
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return res
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return res
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def rho_air(h):
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res = p_air(h)/(R_air * T_air(h))
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return res
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return res
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def
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134
models/sun.py
134
models/sun.py
@ -2,57 +2,111 @@ import astropy.units as unit
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import numpy as np
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from astropy.coordinates import EarthLocation, AltAz
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from astropy.coordinates import get_sun
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from astropy.time import TimeISO
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from input.natural_constants import *
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def sun_angles_astropy(lat, lon, h, utc):
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class TimeYearDayTimeCustom(TimeISO):
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"""
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day-of-year as "<DOY>".
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The day-of-year (DOY) goes from 001 to 365 (366 in leap years).
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The allowed subformat is:
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- 'doy': day of year
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"""
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name = 'doy' # unique format name
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subfmts = (('doy',
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'%j',
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'{yday:03d}'),
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('doy',
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'%j',
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'{yday:03d}'),
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('doy',
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'%j',
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'{yday:03d}'))
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def sun_angles_astropy(lat, lon, h, utc): # get current sun elevation and azimuth through astropy
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loc = EarthLocation(lat=lat*unit.deg, lon=lon*unit.deg, height=h*unit.m)
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ref = AltAz(obstime=utc, location=loc)
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sun_pos = get_sun(utc).transform_to(ref)
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AZ = sun_pos.az.degree
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ELV = sun_pos.alt.degree
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az = sun_pos.az.degree
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elv = sun_pos.alt.degree
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return AZ, ELV
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return az, elv
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def sun_angles_analytical(lat, lon, utc):
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JD = utc.jd
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JC = (JD - 2451545) / 36525
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GML = (280.46646 + JC * (36000.76983 + JC * 0.0003032)) % 360
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GMA = 357.52911 + JC * (35999.05029 - 0.0001537 * JC)
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EEO = 0.016708634 - JC * (0.000042037 + 0.0000001267 * JC)
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SEC = np.sin(np.deg2rad(GMA)) * (1.914602 - JC * (0.004817 + 0.000014 * JC)) + np.sin(np.deg2rad(2 * GMA)) * (
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0.019993 - 0.000101 * JC) + np.sin(np.deg2rad(3 * GMA)) * 0.000289
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STL = GML + SEC
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# STA = GMA + SEC
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# SRV = (1.000001018 * (1 - EEO ** 2)) / (1 + EEO * np.cos(np.deg2rad(STA)))
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SAL = STL - 0.00569 - 0.00478 * np.sin(np.deg2rad(125.04 - 1934.136 * JC))
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MOE = 23 + (26 + (21.448 - JC * (46.815 + JC * (0.00059 - JC * 0.001813))) / 60) / 60
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OC = MOE + 0.00256 * np.cos(np.deg2rad(125.04 - 1934.136 * JC))
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# SRA = np.rad2deg(np.arctan2(np.cos(np.deg2rad(OC)) * np.sin(np.deg2rad(SAL)), np.cos(np.deg2rad(SAL)))) # radian
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SD = np.rad2deg(np.arcsin(np.sin(np.deg2rad(OC)) * np.sin(np.deg2rad(SAL)))) # radian
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var_y = np.tan(np.deg2rad(OC / 2)) ** 2
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EOT = 4 * np.rad2deg(
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var_y * np.sin(2 * np.deg2rad(GML)) - 2 * EEO * np.sin(np.deg2rad(GMA)) + 4 * EEO * var_y * np.sin(
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np.deg2rad(GMA)) * np.cos(2 * np.deg2rad(GML)) - 0.5 * var_y ** 2 * np.sin(
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4 * np.deg2rad(GML)) - 1.25 * EEO ** 2 * np.sin(2 * np.deg2rad(GMA)))
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TST = (((JD - 0.5) % 1) * 1440 + EOT + 4 * lon) % 1440
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if TST / 4 < 0:
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HA = TST / 4 + 180
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def sun_angles_analytical(lat, lon, utc): # get current sun elevation and azimuth through several equations (see [xx])
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if np.abs(lat) == 90: # handling collapse of longitudes at poles by
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lat = np.sign(lat) * 89.999999 # expanding one point to a very small circle
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else:
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HA = TST / 4 - 180
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pass
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SZA = np.rad2deg(np.arccos(
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np.sin(np.deg2rad(lat)) * np.sin(np.deg2rad(SD)) + np.cos(np.deg2rad(lat)) * np.cos(np.deg2rad(SD)) * np.cos(
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np.deg2rad(HA))))
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SEA = 90 - SZA
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jd = utc.jd
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jc = (jd - 2451545) / 36525
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gml = (280.46646 + jc * (36000.76983 + jc * 0.0003032)) % 360
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gma = 357.52911 + jc * (35999.05029 - 0.0001537 * jc)
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eeo = 0.016708634 - jc * (0.000042037 + 0.0000001267 * jc)
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sec = np.sin(np.deg2rad(gma)) * (1.914602 - jc * (0.004817 + 0.000014 * jc)) + np.sin(np.deg2rad(2 * gma)) * (
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0.019993 - 0.000101 * jc) + np.sin(np.deg2rad(3 * gma)) * 0.000289
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stl = gml + sec
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sal = stl - 0.00569 - 0.00478 * np.sin(np.deg2rad(125.04 - 1934.136 * jc))
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moe = 23 + (26 + (21.448 - jc * (46.815 + jc * (0.00059 - jc * 0.001813))) / 60) / 60
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oc = moe + 0.00256 * np.cos(np.deg2rad(125.04 - 1934.136 * jc))
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sd = np.rad2deg(np.arcsin(np.sin(np.deg2rad(oc)) * np.sin(np.deg2rad(sal)))) # radian
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var_y = np.tan(np.deg2rad(oc / 2)) ** 2
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eot = 4 * np.rad2deg(
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var_y * np.sin(2 * np.deg2rad(gml)) - 2 * eeo * np.sin(np.deg2rad(gma)) + 4 * eeo * var_y * np.sin(
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np.deg2rad(gma)) * np.cos(2 * np.deg2rad(gml)) - 0.5 * var_y ** 2 * np.sin(
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4 * np.deg2rad(gml)) - 1.25 * eeo ** 2 * np.sin(2 * np.deg2rad(gma)))
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tst = (((jd - 0.5) % 1) * 1440 + eot + 4 * lon) % 1440
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if HA > 0:
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SAA = (np.rad2deg(np.arccos(((np.sin(np.deg2rad(lat)) * np.cos(np.deg2rad(SZA))) - np.sin(np.deg2rad(SD))) / (
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np.cos(np.deg2rad(lat)) * np.sin(np.deg2rad(SZA))))) + 180) % 360
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if tst / 4 < 0:
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ha = tst / 4 + 180
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else:
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SAA = (540 - np.rad2deg(np.arccos(
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((np.sin(np.deg2rad(lat)) * np.cos(np.deg2rad(SZA))) - np.sin(np.deg2rad(SD))) / (
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np.cos(np.deg2rad(lat)) * np.sin(np.deg2rad(SZA)))))) % 360
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ha = tst / 4 - 180
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sza = np.rad2deg(np.arccos(
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np.sin(np.deg2rad(lat)) * np.sin(np.deg2rad(sd)) + np.cos(np.deg2rad(lat)) * np.cos(np.deg2rad(sd)) * np.cos(
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np.deg2rad(ha))))
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sea = 90 - sza
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if ha > 0:
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saa = (np.rad2deg(np.arccos(((np.sin(np.deg2rad(lat)) * np.cos(np.deg2rad(sza))) - np.sin(np.deg2rad(sd))) / (
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np.cos(np.deg2rad(lat)) * np.sin(np.deg2rad(sza))))) + 180) % 360
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else:
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saa = (540 - np.rad2deg(np.arccos(
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((np.sin(np.deg2rad(lat)) * np.cos(np.deg2rad(sza))) - np.sin(np.deg2rad(sd))) / (
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np.cos(np.deg2rad(lat)) * np.sin(np.deg2rad(sza)))))) % 360
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return saa, sea # Azimuth, Elevation
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def AirMass(p_air, p_0, ELV, h): # get atmospheric air mass over balloon
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ELV_rad = np.deg2rad(ELV) # convert ELV from degree to radian
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Dip = np.arccos(R_E / (R_E + h)) # geometric "dip" in radian
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if ELV_rad >= -Dip and ELV_rad < 0:
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res = p_air/p_0 * (1 + ELV_rad/Dip) - 70 * ELV_rad/Dip
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else:
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res = (p_air/p_0) * ((1229 + (614 * np.sin(ELV_rad)) ** 2) ** (1/2) - 614 * np.sin(ELV_rad))
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return res
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def tau(ELV, h, p_air): # get atmospheric transmissivity as function of balloon altitude and sun elevation
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if ELV >= -(180 / np.pi * np.arccos(R_E / (R_E + h))):
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tau_atm = 0.5 * (
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np.exp(-0.65 * AirMass(p_air, p_0, ELV, h)) + np.exp(-0.095 * AirMass(p_air, p_0, ELV, h)))
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tau_atmIR = 1.716 - 0.5 * (np.exp(-0.65 * p_air / p_0) + np.exp(-0.095 * p_air / p_0))
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else:
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tau_atm = 0
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tau_atmIR = 0
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return tau_atm, tau_atmIR
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return SAA, SEA
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@ -1,5 +0,0 @@
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import numpy as np
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def f(x):
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res = np.sin(x)
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return res
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@ -1,3 +0,0 @@
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from test1 import f
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print(f(1))
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@ -1,111 +1,5 @@
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from input.natural_constants import *
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import numpy as np
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from datetime import datetime
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import time
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from astropy.time import Time
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from astropy.time import TimeISO
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class TimeYearDayTimeCustom(TimeISO):
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"""
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day-of-year as "<DOY>".
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The day-of-year (DOY) goes from 001 to 365 (366 in leap years).
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The allowed subformat is:
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- 'doy': day of year
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"""
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name = 'doy' # Unique format name
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subfmts = (('doy',
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'%j',
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'{yday:03d}'),
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('doy',
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'%j',
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'{yday:03d}'),
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('doy',
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'%j',
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'{yday:03d}'))
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def AirMass(x, p_0, ELV, h):
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p_air = x
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ELV_rad = np.deg2rad(ELV) # convert ELV from degree to radian
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Dip = np.arccos(R_E / (R_E + h)) # Dip in radian
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if ELV_rad >= -Dip and ELV_rad < 0:
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res = p_air/p_0 * (1 + ELV_rad/Dip) - 70 * ELV_rad/Dip
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else:
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res = (p_air/p_0) * ((1229 + (614 * np.sin(ELV_rad)) ** 2) ** (1/2) - 614 * np.sin(ELV_rad))
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return res
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#if ELV >= -(180/np.pi * np.arccos(R_e / (R_e + h))):
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# tau_atm = 0.5 * (np.exp(-0.65 * AirMass(p_air, p_0, ELV, h)) + np.exp(-0.095 * AirMass(p_air, p_0, ELV, h)))
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# tau_atmIR = 1.716 - 0.5 * (np.exp(-0.65 * p_air/p_0) + np.exp(-0.095 * p_air/p_0))
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#else:
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# tau_atm = 0
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# tau_atmIR = 0
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#
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#doy = int(utc.doy)
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#
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#MA = (357.52911 + 0.98560028 * (utc.jd - 2451545)) % 360 # in degree, reference: see folder "literature"
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#TA = MA + 2 * e * np.sin(np.deg2rad(MA)) + 5/4 * e ** 2 * np.sin(np.deg2rad(2 * MA))
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#I_Sun = 1367.5 * ((1 + e * np.cos(np.deg2rad(TA)))/(1 - e ** 2)) ** 2
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#I_SunZ = I_Sun * tau_atm
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#q_sun = I_SunZ
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#
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#q_IRground = epsilon_ground * sigma * T_ground ** 4
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#
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#q_IREarth = q_IRground * tau_atmIR
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#
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#if ELV <= 0:
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# q_Albedo = 0
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#else:
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# q_Albedo = Albedo * I_Sun * np.sin(np.deg2rad(ELV))
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#
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### NEEDED:
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# Diameter = ...
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# V_relative = ...
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# rho_air = ...
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# rho_gas = ...
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# T_film = ...
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# T_air = ...
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# T_gas = ...
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#
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#my_air = (1.458 * 10 ** -6 * T_air ** 1.5) / (T_air + 110.4)
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#my_gas = 1.895 * 10 ** -5 * (T_gas/273.15) ** 0.647
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#k_air = 0.0241 * (T_air/273.15) ** 0.9
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#k_gas = 0.144 * (T_gas/273.15) ** 0.7
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#Pr_air = 0.804 - 3.25 * 10 ** (-4) * T_air
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#Pr_gas = 0.729 - 1.6 * 10 ** (-4) * T_gas
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#
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#Gr_air = (rho_air ** 2 * g * np.abs(T_film - T_air) * Diameter ** 3) / (T_air * my_air ** 2)
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#Nu_air = 2 + 0.45 * (Gr_air * Pr_air) ** 0.25
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#HC_free = Nu_air * k_air / Diameter
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#Re = V_relative * Diameter * rho_air / my_air
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#HC_forced = k_air / Diameter * (2 + 0.41 * Re ** 0.55)
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#HC_internal = 0.13 * k_gas * ((rho_gas ** 2 * g * np.abs(T_film - T_gas) * Pr_gas) / (T_gas * my_air ** 2)) ** (1/3)
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#HC_external = np.maximum(HC_free, HC_forced)
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#
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#Q_Sun = alpha_VIS * A_proj * q_sun * (1 + tau_VIS/(1 - r_VIS))
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#Q_Albedo = alpha_VIS * A_surf * q_Albedo * ViewFactor * (1 + tau_VIS/(1 - r_VIS))
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#Q_IREarth = alpha_IR * A_surf * q_IREarth * ViewFactor * (1 + tau_IR/(1 - r_IR))
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#Q_IRFilm = sigma * epsilon * alpha_IR * A_surf * T_film ** 4 * 1/(1 - r_IR)
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#Q_IROut = sigma * epsilon * A_surf * T_film ** 4 * (1 * tau_IR/(1 - r_IR))
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#Q_ConvExt = HC_external * A_effective * (T_air - T_film)
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#Q_ConvInt = HC_internal * A_effective * (T_film - T_gas)
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#
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#HalfConeAngle = np.arcsin(R_E/(R_E + h))
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#ViewFactor = (1 - np.cos(HalfConeAngle))/2
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#
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#
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#
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#RoC = -V_z
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#
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#dT_gas = (Q_ConvInt/(gamma * c_v * M_gas) - (gamma - 1)/gamma * rho_air * g / (rho_gas * R_gas) * RoC) * dt
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#dT_film = ((Q_Sun + Q_Albedo + Q_IREarth + Q_IRfilm + Q_ConvExt - Q_ConvInt - Q_IRout)/(c_f * M_film)) * dt
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@ -13,10 +13,10 @@ netcdf4 1.3.3
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cdsapi 0.2.7 (*)
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(*) for CDS API please refer to: https://cds.climate.copernicus.eu/api-how-to
|
||||
|
||||
Alternatively, use ANACONDA and the environment(*.yml)-file in this repository.
|
||||
|
||||
(*) for proper setup of CDS API please refer to: https://cds.climate.copernicus.eu/api-how-to (in any case!)
|
||||
|
||||
|
||||
|
||||
(B) User Input:
|
||||
@ -24,4 +24,4 @@ Alternatively, use ANACONDA and the environment(*.yml)-file in this repository.
|
||||
1. Please define all input parameters under input/user_input.py
|
||||
|
||||
2. Script "DataRequest.py" needs to be run prior to generate netCDF-datafile for atmospheric data!
|
||||
Please ensure sufficient disk space (1,25 GB)
|
||||
Please ensure sufficient disk space (currently: 1,25 GB)
|
||||
Loading…
Reference in New Issue
Block a user