Source code for pyro.compressible.problems.rt
"""A single-mode Rayleigh-Taylor instability."""
import numpy as np
from pyro.util import msg
DEFAULT_INPUTS = "inputs.rt"
PROBLEM_PARAMS = {"rt.dens1": 1.0,
"rt.dens2": 2.0,
"rt.amp": 1.0,
"rt.sigma": 0.1,
"rt.p0": 10.0}
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def init_data(my_data, rp):
""" initialize the rt problem """
if rp.get_param("driver.verbose"):
msg.bold("initializing the rt problem...")
# get the density, momenta, and energy as separate variables
dens = my_data.get_var("density")
xmom = my_data.get_var("x-momentum")
ymom = my_data.get_var("y-momentum")
ener = my_data.get_var("energy")
gamma = rp.get_param("eos.gamma")
grav = rp.get_param("compressible.grav")
dens1 = rp.get_param("rt.dens1")
dens2 = rp.get_param("rt.dens2")
p0 = rp.get_param("rt.p0")
amp = rp.get_param("rt.amp")
sigma = rp.get_param("rt.sigma")
# initialize the components, remember, that ener here is
# rho*eint + 0.5*rho*v**2, where eint is the specific
# internal energy (erg/g)
xmom[:, :] = 0.0
ymom[:, :] = 0.0
dens[:, :] = 0.0
# set the density to be stratified in the y-direction
myg = my_data.grid
ycenter = 0.5*(myg.ymin + myg.ymax)
p = myg.scratch_array()
j = myg.jlo
while j <= myg.jhi:
if myg.y[j] < ycenter:
dens[:, j] = dens1
p[:, j] = p0 + dens1*grav*myg.y[j]
else:
dens[:, j] = dens2
p[:, j] = p0 + dens1*grav*ycenter + dens2*grav*(myg.y[j] - ycenter)
j += 1
L = myg.xmax-myg.xmin
ymom[:, :] = amp * 0.5 * (np.cos(2.0*np.pi*myg.x2d/L) +
np.cos(2.0*np.pi*(L - myg.x2d)/L)) * np.exp(-(myg.y2d-ycenter)**2/sigma**2)
ymom *= dens
# set the energy (P = cs2*dens)
ener[:, :] = p[:, :]/(gamma - 1.0) + \
0.5*(xmom[:, :]**2 + ymom[:, :]**2)/dens[:, :]
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def finalize():
""" print out any information to the user at the end of the run """