def amr_inflow_rate(context, dset, center=None, **kwargs):
from seren3.utils import unit_vec_r, heaviside
if (center is None):
# Locate centre of mass
if hasattr(context, "base"):
if hasattr(context.base, "region"):
center = context.base.region.center
else:
from seren3.utils import camera_utils
center = camera_utils.find_center_of_mass(context)
unit_l = context.array(context.info["unit_length"])
pos = dset["pos"].in_units(unit_l) - center
x,y,z = pos.T
# Cartesian -> spherical polars
r = np.sqrt(x**2 + y**2 + z**2)
theta = np.arccos(z / r)
phi = np.arctan2(y, x)
rho = dset["rho"]
vel = dset["vel"]
rho_u = (rho * vel.T).T
mass_flux_scalar = np.zeros(len(theta))
for i in range(len(theta)):
th, ph = (theta[i], phi[i])
unit_r = unit_vec_r(th, ph)
mass_flux_scalar[i] = np.dot(rho_u[i], unit_r)\
* heaviside(np.dot(-rho_u[i], unit_r))
return SimArray( mass_flux_scalar, rho_u.units )
def outflow_rate(sim):
import numpy as np
from pynbody.array import SimArray
from seren3.utils import unit_vec_r, heaviside
flux = []
units = None
for i in 'xyz':
#print i
fi = sim.g["mf%s" % i]
flux.append(fi)
units = fi.units
flux = np.array(flux).T
x, y, z = sim.g["pos"].T
r = np.sqrt(x**2 + y**2 + z**2)
# theta = sim.g["sg_theta"]
# phi = sim.g["sg_az"]
theta = np.arccos(z / r)
phi = np.arctan2(y, x)
mass_flux_scalar = np.zeros(len(theta))
for i in range(len(theta)):
th, ph = (theta[i], phi[i])
unit_r = unit_vec_r(th, ph)
mass_flux_scalar[i] = np.dot(flux[i], unit_r)\
* heaviside(np.dot(flux[i], unit_r))
return SimArray(mass_flux_scalar, units)
def rad_radial(sim, group):
import numpy as np
from pynbody.array import SimArray
from seren3.utils import unit_vec_r, heaviside
flux = []
units = None
for i in 'xyz':
#print i
fi = sim.g["rad_%i_flux_%s" % (group, i)]
flux.append(fi)
units = fi.units
flux = np.array(flux).T
x, y, z = sim.g["pos"].T
r = np.sqrt(x**2 + y**2 + z**2)
# theta = sim.g["sg_theta"]
# phi = sim.g["sg_az"]
theta = np.arccos(z / r)
phi = np.arctan2(y, x)
flux_scalar = np.zeros(len(theta))
for i in range(len(theta)):
th, ph = (theta[i], phi[i])
unit_r = unit_vec_r(th, ph)
# Compute outward flux (should always be positive)
flux_scalar[i] = np.dot(flux[i], unit_r)\
* heaviside(np.dot(flux[i], unit_r))
return SimArray(flux_scalar, units)
def _rad_group_flux_radial(flux_arr, r, theta, phi):
'''
Computes outward flux of radiation from the context center
'''
from seren3.utils import unit_vec_r, heaviside
radial_flux = np.zeros(len(theta))
for i in range(len(theta)):
th, ph = (theta[i], phi[i])
unit_r = unit_vec_r(th, ph)
radial_flux[i] = np.dot(flux_arr[i], unit_r)\
* heaviside(np.dot(flux_arr[i], unit_r))
return SimArray( radial_flux, flux_arr.units )
def integrate_surface_flux(flux_map,
r,
smooth=False,
ret_map=False,
**smooth_kwargs):
'''
Integrates a healpix surface flux to compute the total
net flux out of the sphere.
r is the radius of the sphere in meters
'''
import healpy as hp
from scipy.integrate import trapz
from seren3.array import SimArray
raise Exception("Function deprecated")
if not ((isinstance(flux_map, SimArray) or isinstance(r, SimArray))):
raise Exception("Must pass SimArrays")
# Compute theta/phi
npix = len(flux_map)
nside = hp.npix2nside(npix)
# theta, phi = hp.pix2ang(nside, range(npix))
theta, phi = hp.pix2ang(nside, range(npix))
r = r.in_units("m") # make sure r is in meters
# Smoothing?
if smooth:
flux_map = hp.smoothing(flux_map, **smooth_kwargs)
# Compute the integral
integrand = np.zeros(len(theta))
for i in range(len(theta)):
th, ph = (theta[i], phi[i])
unit_r = unit_vec_r(th, ph)
integrand[i] = r**2 * np.sin(th)\
* np.dot(flux_map[i], unit_r)\
* heaviside(np.dot(flux_map[i], unit_r))
integrand = integrand[:, None] + np.zeros(
len(phi)) # 2D over theta and phi
I = trapz(trapz(integrand, phi), theta)
return SimArray(I, "s**-1")