def aspect_ratio():
D_arr = np.exp(np.linspace(np.log(100e-6), np.log(3000e-6), 100))
with open("../aggregation/dendrite_grid.dat") as f:
grid = pickle.load(f)
rot = rotator.UniformRotator()
grid_res = 40.0e-6
def ar(D):
cry = crystal.Dendrite(D, hex_grid=grid)
gen = generator.MonodisperseGenerator(cry, rot, grid_res)
agg = aggregate.Aggregate(gen)
m = agg.X.mean(0)
X_c = agg.X - m
cov = np.dot(X_c.T, X_c)
(l, v) = np.linalg.eigh(cov)
size = np.sqrt(l / X_c.shape[0] + (1. /
(2 * np.sqrt(3)) * grid_res)**2)
width = np.sqrt(0.5 * (size[1]**2 + size[2]**2))
height = size[0]
print D, size, width, height
return height / width
ratios = np.array([ar(D) for D in D_arr])
return (D_arr, ratios)
def generate_rosette(D, min_grid_res=40e-6):
grid_res = min(D / 20, min_grid_res)
rot = rotator.UniformRotator()
cry = crystal.Rosette(D)
gen = generator.MonodisperseGenerator(cry, rot, grid_res)
agg = aggregate.Aggregate(gen)
return (agg, grid_res)
def polydisp_dendrite(N=5, grid=None, align=True):
#cry = crystal.Column(0.3e-3)
agg = []
psd = stats.expon(scale=1.0e-3)
rot = rotator.UniformRotator()
for i in xrange(N):
D = 1e3
while D > 0.3e-2 or D < 0.2e-3:
D = psd.rvs()
print "D: " + str(D)
cry = crystal.Dendrite(D,
alpha=0.705,
beta=0.5,
gamma=0.0001,
num_iter=2500,
hex_grid=grid)
gen = generator.MonodisperseGenerator(cry, rot, 0.02e-3)
agg.append(aggregate.Aggregate(gen, levels=5))
aggregate.t_i = 0
aggregate.t_o = 0
while len(agg) > 1:
r = array([((a.extent[0][1] - a.extent[0][0]) +
(a.extent[1][1] - a.extent[1][0])) / 4.0 for a in agg])
m_r = numpy.sqrt(array([a.X.shape[0] for a in agg]) / r)
r_mat = (numpy.tile(r, (len(agg), 1)).T + r)**2
mr_mat = abs(numpy.tile(m_r, (len(agg), 1)).T - m_r)
p_mat = r_mat * mr_mat
p_max = p_mat.max()
p_mat /= p_mat.max()
collision = False
while not collision:
i = random.randint(len(agg))
j = random.randint(len(agg))
rnd = random.rand()
if rnd < p_mat[i][j]:
print i, j
agg_top = agg[i] if (m_r[i] > m_r[j]) else agg[j]
agg_btm = agg[i] if (m_r[i] <= m_r[j]) else agg[j]
collision = agg_top.add_particle(particle=agg_btm.X,
required=True)
if collision:
if align:
agg_top.align()
else:
agg_top.rotate(rot)
agg.pop(i if (m_r[i] <= m_r[j]) else j)
print aggregate.t_i, aggregate.t_o
if align:
agg[0].align()
agg[0].rotate(rotator.HorizontalRotator())
return agg[0]
def monodisp_demo(N=5):
#cry = crystal.Plate(0.3e-3)
#cry = crystal.Rosette(0.6e-3)
cry = crystal.Spheroid(0.6e-3, 0.6)
rot = rotator.UniformRotator()
gen = generator.MonodisperseGenerator(cry, rot, 0.01e-3)
agg = aggregate.Aggregate(gen)
for i in xrange(N - 1):
print i
agg.add_particle(required=True, pen_depth=0.02e-3)
agg.align()
return agg
def gen_monomer(psd="monodisperse",
size=1.0,
min_size=1e-3,
max_size=10,
mono_type="dendrite",
grid_res=0.02e-3,
rimed=False):
def make_cry(D):
if mono_type == "dendrite":
grid = pickle.load(file("dendrite_grid.dat"))
cry = crystal.Dendrite(D, hex_grid=grid)
elif mono_type == "plate":
cry = crystal.Plate(D)
elif mono_type == "needle":
cry = crystal.Needle(D)
elif mono_type == "rosette":
cry = crystal.Rosette(D)
elif mono_type == "bullet":
cry = crystal.Bullet(D)
elif mono_type == "spheroid":
cry = crystal.Spheroid(D, 0.6)
return cry
rot = rotator.UniformRotator()
def gen():
if psd == "monodisperse":
D = size
elif psd == "exponential":
psd_f = stats.expon(scale=size)
D = max_size + 1
while (D < min_size) or (D > max_size):
D = psd_f.rvs()
cry = make_cry(D)
gen = generator.MonodisperseGenerator(cry, rot, grid_res)
if rimed:
agg = aggregate.RimedAggregate(gen)
else:
agg = aggregate.Aggregate(gen)
return agg
return gen
def generate_aggregate(monomer_generator, N=5, align=True):
align_rot = rotator.PartialAligningRotator(exp_sig_deg=40)
uniform_rot = rotator.UniformRotator()
agg = [monomer_generator() for i in xrange(N)]
while len(agg) > 1:
r = array([((a.extent[0][1] - a.extent[0][0]) +
(a.extent[1][1] - a.extent[1][0])) / 4.0 for a in agg])
m_r = np.sqrt(array([a.X.shape[0] for a in agg]) / r)
r_mat = (np.tile(r, (len(agg), 1)).T + r)**2
mr_mat = abs(np.tile(m_r, (len(agg), 1)).T - m_r)
p_mat = r_mat * mr_mat
p_mat /= p_mat.max()
collision = False
while not collision:
i = random.randint(len(agg))
j = random.randint(len(agg))
rnd = random.rand()
if rnd < p_mat[i][j]:
print i, j
agg_top = agg[i] if (m_r[i] > m_r[j]) else agg[j]
agg_btm = agg[i] if (m_r[i] <= m_r[j]) else agg[j]
agg_btm.rotate(uniform_rot)
collision = agg_top.add_particle(particle=agg_btm.X,
required=True,
pen_depth=80e-6)
if collision:
if align:
agg_top.align()
agg_top.rotate(align_rot)
else:
agg_top.rotate(uniform_rot)
agg.pop(i if (m_r[i] <= m_r[j]) else j)
if align:
agg[0].align()
agg[0].rotate(align_rot)
agg[0].rotate(rotator.HorizontalRotator())
return agg[0]
def monodisp_pseudo(N=5, grid=None, sig=1.0):
cry = crystal.Dendrite(0.5e-3,
alpha=0.705,
beta=0.5,
gamma=0.0001,
num_iter=2500,
hex_grid=grid)
rot = rotator.UniformRotator()
gen = generator.MonodisperseGenerator(cry, rot, 0.02e-3)
"""
p_agg = aggregate.PseudoAggregate(gen, sig=0.1e-2)
rho_i = 916.7 #kg/m^3
N_dip = p_agg.grid().shape[0]
m = 0.02e-3**3 * N_dip * N * rho_i
sig = (m/20.3)**(1.0/2.35)
print N_dip, sig
"""
p_agg = aggregate.PseudoAggregate(gen, sig=sig)
aggs = [aggregate.Aggregate(gen, levels=5) for i in xrange(N - 1)]
for agg in aggs:
p_agg.add_particle(particle=agg.X, required=False)
return p_agg
def monodisp_demo2(N=5):
#cry = crystal.Column(0.3e-3)
cry = crystal.Dendrite(0.3e-3, 0.705, 0.5, 0.0001, num_iter=2500)
rot = rotator.UniformRotator()
gen = generator.MonodisperseGenerator(cry, rot, 0.01e-3)
agg = [aggregate.Aggregate(gen) for i in xrange(N)]
aggregate.t_i = 0
aggregate.t_o = 0
while len(agg) > 1:
r = array([((a.extent[0][1] - a.extent[0][0]) +
(a.extent[1][1] - a.extent[1][0])) / 4.0 for a in agg])
m_r = numpy.sqrt(array([a.X.shape[0] for a in agg]) / r)
r_mat = (numpy.tile(r, (len(agg), 1)).T + r)**2
mr_mat = abs(numpy.tile(m_r, (len(agg), 1)).T - m_r)
p_mat = r_mat * mr_mat
p_max = p_mat.max()
p_mat /= p_mat.max()
collision = False
while not collision:
i = random.randint(len(agg))
j = random.randint(len(agg))
rnd = random.rand()
if rnd < p_mat[i][j]:
print i, j
agg_top = agg[i] if (m_r[i] > m_r[j]) else agg[j]
agg_btm = agg[i] if (m_r[i] <= m_r[j]) else agg[j]
collision = agg_top.add_particle(particle=agg_btm.X,
required=True)
agg_top.align()
agg.pop(i if (m_r[i] <= m_r[j]) else j)
print aggregate.t_i, aggregate.t_o
return agg[0]
def gen_monomer(psd="monodisperse", size=1e-3, min_size=0.1e-3,
max_size=20e-3, mono_type="dendrite", grid_res=0.02e-3,
rimed=False, debug=False):
"""Make a monomer crystal generator.
Args:
psd: "monodisperse" or "exponential".
size: If psd="monodisperse", this is the diameter of the ice
crystals. If psd="exponential", this is the inverse of the
slope parameter (usually denoted as lambda).
min_size, max_size: Minimum and maximum allowed size for generated
crystals.
mono_type: The type of crystals used. The possible values are
"dendrite", "plate", "needle", "rosette", "bullet", "column",
"spheroid".
grid_res: The volume element size.
rimed: True if a rimed aggregate should be generated, False
otherwise.
debug: If True, debug information will be printed.
"""
def make_cry(D):
if mono_type=="dendrite":
current_dir = os.path.dirname(os.path.realpath(__file__))
grid = pickle.load(file(current_dir+"/dendrite_grid.dat"))
cry = crystal.Dendrite(D, hex_grid=grid)
elif mono_type=="plate":
cry = crystal.Plate(D)
elif mono_type=="needle":
cry = crystal.Needle(D)
elif mono_type=="rosette":
cry = crystal.Rosette(D)
elif mono_type=="bullet":
cry = crystal.Bullet(D)
elif mono_type=="column":
cry = crystal.Column(D)
elif mono_type=="spheroid":
cry = crystal.Spheroid(D,1.0)
return cry
rot = rotator.UniformRotator()
def gen(ident=0):
if psd=="monodisperse":
D = size
elif psd=="exponential":
psd_f = stats.expon(scale=size)
D=max_size+1
while (D<min_size) or (D>max_size):
D = psd_f.rvs()
cry = make_cry(D)
if debug:
print D
gen = generator.MonodisperseGenerator(cry, rot, grid_res)
if rimed:
agg = aggregate.RimedAggregate(gen, ident=ident)
else:
agg = aggregate.Aggregate(gen, ident=ident)
return agg
return gen
def generate_rimed_aggregate_iter(monomer_generator, N=5, align=True,
riming_lwp=0.0, riming_eff=1.0, riming_mode="simultaneous",
rime_pen_depth=120e-6, seed=None, lwp_div=10, compact_dist=0.,
debug=False):
"""Generate a rimed aggregate particle.
Refer to the generate_rimed_aggregate function for details.
"""
random.seed(seed)
align_rot = rotator.PartialAligningRotator(exp_sig_deg=40, random_flip=True)
uniform_rot = rotator.UniformRotator()
agg = [monomer_generator(ident=i) for i in xrange(N)]
yield agg
while len(agg) > 1:
r = np.array([((a.extent[0][1]-a.extent[0][0])+
(a.extent[1][1]-a.extent[1][0]))/4.0 for a in agg])
m_r = np.sqrt(np.array([a.X.shape[0] for a in agg])/r)
r_mat = (np.tile(r,(len(agg),1)).T+r)**2
mr_mat = abs(np.tile(m_r,(len(agg),1)).T - m_r)
p_mat = r_mat * mr_mat
p_mat /= p_mat.max()
collision = False
while not collision:
i = random.randint(len(agg))
j = i
while j == i:
j = random.randint(len(agg))
rnd = random.rand()
if rnd < p_mat[i][j]:
if debug:
print i, j
agg_top = agg[i] if (m_r[i] > m_r[j]) else agg[j]
agg_btm = agg[i] if (m_r[i] <= m_r[j]) else agg[j]
agg_btm.rotate(uniform_rot)
collision = agg_top.add_particle(particle=agg_btm.X,ident=agg_btm.ident,
required=True,pen_depth=80e-6)
if collision:
if align:
agg_top.align()
agg_top.rotate(align_rot)
else:
agg_top.rotate(uniform_rot)
agg.pop(i if (m_r[i] <= m_r[j]) else j)
if riming_mode == "simultaneous":
for a in agg:
generate_rime(a, align_rot if align else uniform_rot,
riming_lwp/float(N-1), riming_eff=riming_eff,
pen_depth=rime_pen_depth, lwp_div=lwp_div,
compact_dist=compact_dist)
if len(agg) > 1:
yield agg
if (riming_mode == "subsequent") or (N==1):
for a in generate_rime(agg[0], align_rot if align else uniform_rot,
riming_lwp, riming_eff=riming_eff, pen_depth=rime_pen_depth,
lwp_div=lwp_div, iter=True, compact_dist=compact_dist):
yield [a]
if align:
agg[0].align()
agg[0].rotate(align_rot)
agg[0].rotate(rotator.HorizontalRotator())
yield agg