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Add Twomey 1959 eqt'n along with a test #1578

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2 changes: 2 additions & 0 deletions PySDM/physics/ccn_activation_spectrum/__init__.py
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from PySDM.impl.null_physics_class import Null
from .twomey_1959 import Twomey1959
15 changes: 15 additions & 0 deletions PySDM/physics/ccn_activation_spectrum/twomey_1959.py
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import numpy as np
"""
[Twomey 1959](https://doi.org/10.1007/BF01993560). Note that supersaturation is expressed in temperature unit as the elevation of the dew point or as percent of supersaturation; and concentrations are reported for 10C and 800 mb.
"""

class Twomey1959:
def __init__(self, const):
assert np.isfinite(const.TWOMEY_K)
assert np.isfinite(const.TWOMEY_N0)

@staticmethod
def ccn_concentration(const, saturation_ratio):
return const.TWOMEY_N0*np.power(saturation_ratio-1, const.TWOMEY_K)


30 changes: 30 additions & 0 deletions tests/unit_tests/physics/test_ccn_activation_spectrum.py
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import numpy as np
from matplotlib import pyplot

from PySDM import Formulae
from PySDM.physics.constants import PER_CENT, si, in_unit

def test_twomey_and_wojciechowski_1969_fig1(plot=True):
"""[Twomey, Wojciechowski 1969](https://doi.org/10.1175/1520-0469(1969)26%3C648:OOTGVO%3E2.0.CO;2)
"""
#arange
for k, N in zip([0.5,0.7], [100,500]):
formulae = Formulae(ccn_activation_spectrum="Twomey1959",constants={"TWOMEY_K": k, "TWOMEY_N0": N/si.cm**3})
supersaturation = np.logspace(np.log10(.2), np.log10(9))*PER_CENT
#act
activated_nuclei_concentration = formulae.ccn_activation_spectrum.ccn_concentration(saturation_ratio=supersaturation+1)
#plot
pyplot.plot(in_unit(supersaturation,PER_CENT),
in_unit(activated_nuclei_concentration,si.cm**-3),
label=f"{k=}"
)
pyplot.xlim(0.1,10)
pyplot.ylim(1,1000)
pyplot.xscale("log")
pyplot.yscale("log")
pyplot.xlabel("Percent supersaturation")
pyplot.ylabel("Nuclei [cm$^{-3}$]")
pyplot.grid()
pyplot.legend()
pyplot.show()
#assert
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