def result(self):
grid = Grid.create(self.dimensions,
self.box_size.as_vector_with_length(3))
zero = numpy.zeros(self.dimensions).flatten() | units.m / units.s
rho, rhovx, rhovy, rhovz, rhoe = self.sph_code.get_hydro_state_at_point(
grid.x.flatten() - self.box_offset,
grid.y.flatten() - self.box_offset,
grid.z.flatten() - self.box_offset, zero, zero, zero)
grid.rho = rho.reshape(self.dimensions)
grid.rhovx = rhovx.reshape(self.dimensions)
grid.rhovy = rhovy.reshape(self.dimensions)
grid.rhovz = rhovz.reshape(self.dimensions)
grid.energy = rhoe.reshape(self.dimensions)
if self.do_scale:
grid.rho *= self.sph_code.gas_particles.total_mass() / (grid.rho.sum() * grid.cellsize().prod())
total_sph_momentum = (self.sph_code.gas_particles.mass.reshape((-1,1)) * self.sph_code.gas_particles.velocity).sum(axis=0)
total_grid_momentum = grid.momentum.reshape((-1,3)).sum(axis=0)
grid.momentum += total_sph_momentum / grid.cellsize().prod() - total_grid_momentum
grid.energy *= self.sph_code.thermal_energy / (grid.energy.sum() * grid.cellsize().prod())
return grid
def result(self):
grid = Grid.create(self.dimensions,
self.box_size.as_vector_with_length(3))
grid.add_vector_attribute("momentum", ["rhovx","rhovy","rhovz"])
zero = numpy.zeros(self.dimensions).flatten() | units.m / units.s
rho, rhovx, rhovy, rhovz, rhoe = self.sph_code.get_hydro_state_at_point(
grid.x.flatten() - self.box_offset,
grid.y.flatten() - self.box_offset,
grid.z.flatten() - self.box_offset, zero, zero, zero)
grid.rho = rho.reshape(self.dimensions)
grid.rhovx = rhovx.reshape(self.dimensions)
grid.rhovy = rhovy.reshape(self.dimensions)
grid.rhovz = rhovz.reshape(self.dimensions)
grid.energy = rhoe.reshape(self.dimensions)
if self.do_scale:
grid.rho *= self.sph_code.gas_particles.total_mass() / (grid.rho.sum() * grid.cellsize().prod())
total_sph_momentum = (self.sph_code.gas_particles.mass.reshape((-1,1)) * self.sph_code.gas_particles.velocity).sum(axis=0)
total_grid_momentum = grid.momentum.reshape((-1,3)).sum(axis=0)
grid.momentum += total_sph_momentum / grid.cellsize().prod() - total_grid_momentum
grid.energy *= self.sph_code.thermal_energy / (grid.energy.sum() * grid.cellsize().prod())
return grid
def make_grid(number_of_grid_cells, length, constant_hydrogen_density, inner_radius, outer_radius):
grid = Grid.create([number_of_grid_cells] * 3, length.as_vector_with_length(3))
grid.radius = grid.position.lengths()
grid.hydrogen_density = constant_hydrogen_density
grid.hydrogen_density[grid.radius <= inner_radius] = 0 | units.cm ** -3
grid.hydrogen_density[grid.radius >= outer_radius] = 0 | units.cm ** -3
return grid
def setup_simple_grid(self):
test_grid = Grid.create((4,3,2), [1.0, 1.0, 1.0] | units.m)
test_grid.rho = numpy.linspace(1.0, 2.0, num=24).reshape(test_grid.shape) | units.kg/units.m**3
test_grid.rhovx = test_grid.rho * (3.0 | units.m/units.s)
test_grid.rhovy = test_grid.rho * (4.0 | units.m/units.s)
test_grid.rhovz = test_grid.rho * (0.0 | units.m/units.s)
test_grid.energy = test_grid.rho * ((1.0 | (units.m/units.s)**2) + 0.5 * (5.0 | units.m/units.s)**2)
return test_grid
def make_grid(number_of_grid_cells, length, constant_hydrogen_density, inner_radius, outer_radius):
grid = Grid.create([number_of_grid_cells] * 3, length.as_vector_with_length(3))
grid.radius = grid.position.lengths()
grid.hydrogen_density = constant_hydrogen_density
grid.hydrogen_density[grid.radius <= inner_radius] = 0 | units.cm ** -3
grid.hydrogen_density[grid.radius >= outer_radius] = 0 | units.cm ** -3
return grid
def hydro_plot(view, hydro_code, image_size, figname):
"""
view: the (physical) region to plot [xmin, xmax, ymin, ymax]
hydro_code: hydrodynamics code in which the gas to be plotted is defined
image_size: size of the output image in pixels (x, y)
"""
if not HAS_MATPLOTLIB:
return
shape = (image_size[0], image_size[1], 1)
size = image_size[0] * image_size[1]
axis_lengths = [0.0, 0.0, 0.0] | units.m
axis_lengths[0] = view[1] - view[0]
axis_lengths[1] = view[3] - view[2]
grid = Grid.create(shape, axis_lengths)
grid.x += view[0]
grid.y += view[2]
speed = grid.z.reshape(size) * (0 | 1/units.s)
rho, rhovx, rhovy, rhovz, rhoe = hydro_code.get_hydro_state_at_point(
grid.x.reshape(size),
grid.y.reshape(size),
grid.z.reshape(size), speed, speed, speed)
min_v = 800.0 | units.km / units.s
max_v = 3000.0 | units.km / units.s
min_rho = 3.0e-9 | units.g / units.cm**3
max_rho = 1.0e-5 | units.g / units.cm**3
min_E = 1.0e11 | units.J / units.kg
max_E = 1.0e13 | units.J / units.kg
v_sqr = (rhovx**2 + rhovy**2 + rhovz**2) / rho**2
E = rhoe / rho
log_v = numpy.log((v_sqr / min_v**2)) / numpy.log((max_v**2 / min_v**2))
log_rho = numpy.log((rho / min_rho)) / numpy.log((max_rho / min_rho))
log_E = numpy.log((E / min_E)) / numpy.log((max_E / min_E))
red = numpy.minimum(numpy.ones_like(rho.number), numpy.maximum(
numpy.zeros_like(rho.number), log_rho)).reshape(shape)
green = numpy.minimum(numpy.ones_like(rho.number), numpy.maximum(
numpy.zeros_like(rho.number), log_v)).reshape(shape)
blue = numpy.minimum(numpy.ones_like(rho.number), numpy.maximum(
numpy.zeros_like(rho.number), log_E)).reshape(shape)
alpha = numpy.minimum(
numpy.ones_like(log_v),
numpy.maximum(
numpy.zeros_like(log_v),
numpy.log((rho / (10*min_rho)))
)
).reshape(shape)
rgba = numpy.concatenate((red, green, blue, alpha), axis=2)
pyplot.figure(figsize=(image_size[0]/100.0, image_size[1]/100.0), dpi=100)
im = pyplot.figimage(rgba, origin='lower')
pyplot.savefig(figname, transparent=True, dpi=100,
facecolor='k', edgecolor='k')
print "\nHydroplot was saved to: ", figname
pyplot.close()
def hydro_plot(view, hydro_code, image_size, figname):
"""
view: the (physical) region to plot [xmin, xmax, ymin, ymax]
hydro_code: hydrodynamics code in which the gas to be plotted is defined
image_size: size of the output image in pixels (x, y)
"""
shape = (image_size[0], image_size[1], 1)
size = image_size[0] * image_size[1]
axis_lengths = [0.0, 0.0, 0.0] | units.m
axis_lengths[0] = view[1] - view[0]
axis_lengths[1] = view[3] - view[2]
grid = Grid.create(shape, axis_lengths)
grid.x += view[0]
grid.y += view[2]
speed = grid.z.reshape(size) * (0 | 1 / units.s)
rho, rhovx, rhovy, rhovz, rhoe = \
hydro_code.get_hydro_state_at_point(
grid.x.reshape(size),
grid.y.reshape(size),
grid.z.reshape(size),
speed, speed, speed)
min_v = 800.0 | units.km / units.s
max_v = 3000.0 | units.km / units.s
min_rho = 3.0e-4 | units.g / units.cm**3
max_rho = 0.1 | units.g / units.cm**3
min_E = 1.0e11 | units.J / units.kg
max_E = 1.0e13 | units.J / units.kg
v_sqr = (rhovx**2 + rhovy**2 + rhovz**2) / rho**2
E = rhoe / rho
log_v = numpy.log((v_sqr / min_v**2)) / numpy.log((max_v**2 / min_v**2))
log_rho = numpy.log((rho / min_rho)) / numpy.log((max_rho / min_rho))
log_E = numpy.log((E / min_E)) / numpy.log((max_E / min_E))
red = numpy.minimum(numpy.ones_like(rho.number),
numpy.maximum(numpy.zeros_like(rho.number),
log_rho)).reshape(shape)
green = numpy.minimum(numpy.ones_like(rho.number),
numpy.maximum(numpy.zeros_like(rho.number),
log_v)).reshape(shape)
blue = numpy.minimum(numpy.ones_like(rho.number),
numpy.maximum(numpy.zeros_like(rho.number),
log_E)).reshape(shape)
alpha = numpy.minimum(
numpy.ones_like(log_v),
numpy.maximum(numpy.zeros_like(log_v), numpy.log(
(rho / (10 * min_rho))))).reshape(shape)
rgba = numpy.concatenate((red, green, blue, alpha), axis=2)
pyplot.figure(figsize=(image_size[0] / 100.0, image_size[1] / 100.0),
dpi=100)
im = pyplot.figimage(rgba, origin='lower')
pyplot.savefig(figname, transparent=True, dpi=100)
print("\nHydroplot was saved to: ", figname)
pyplot.close()
def setup_particles_in_nbodycode(self):
staggered_grid_shape = numpy.asarray(self.gridcode.grid.shape) + 2
corner0 = self.gridcode.grid[0][0][0].position
corner1 = self.gridcode.grid[-1][-1][-1].position
delta = self.gridcode.grid[1][1][1].position - corner0
print delta.prod()
self.volume = delta.prod()
staggered_corner0 = corner0 - delta
staggered_corner1 = corner1
self.staggered_grid = Grid.create(
staggered_grid_shape,
staggered_corner1 - staggered_corner0 + delta)
# self.staggered_grid.x += staggered_corner0.x
# self.staggered_grid.y += staggered_corner0.x
# self.staggered_grid.z += staggered_corner0.x
# self.staggered_grid.p000 = 0.0 | mass
# self.staggered_grid.p100 = 0.0 | mass
# self.staggered_grid.p010 = 0.0 | mass
# self.staggered_grid.p110 = 0.0 | mass
# self.staggered_grid.p000 = 0.0 | mass
# self.staggered_grid.p100 = 0.0 | mass
# self.staggered_grid.p011 = 0.0 | mass
# self.staggered_grid.p111 = 0.0 | mass
# self.staggered_grid.p001 = 0.0 | mass
# self.staggered_grid.p101 = 0.0 | mass
self.normal_grid = Grid.create(
self.gridcode.grid.shape, corner1 - corner0 + delta)
particles = Particles(self.normal_grid.size)
particles.mass = 0.0 | mass
particles.x = self.grid.x.flatten()
particles.y = self.grid.y.flatten()
particles.z = self.grid.z.flatten()
particles.vx = 0.0 | speed
particles.vy = 0.0 | speed
particles.vz = 0.0 | speed
particles.radius = 0.0 | length
self.nbodycode.particles.add_particles(particles)
self.from_model_to_nbody = particles.new_channel_to(
self.nbodycode.particles)
self.nbodycode.commit_particles()
self.particles = particles
def setup_particles_in_nbodycode(self):
staggered_grid_shape = numpy.asarray(self.gridcode.grid.shape) + 2
corner0 = self.gridcode.grid[0][0][0].position
corner1 = self.gridcode.grid[-1][-1][-1].position
delta = self.gridcode.grid[1][1][1].position - corner0
print delta.prod()
self.volume = delta.prod()
staggered_corner0 = corner0 - delta
staggered_corner1 = corner1
self.staggered_grid = Grid.create(
staggered_grid_shape,
staggered_corner1 - staggered_corner0 + delta)
#self.staggered_grid.x += staggered_corner0.x
#self.staggered_grid.y += staggered_corner0.x
#self.staggered_grid.z += staggered_corner0.x
#self.staggered_grid.p000 = 0.0 | mass
#self.staggered_grid.p100 = 0.0 | mass
#self.staggered_grid.p010 = 0.0 | mass
#self.staggered_grid.p110 = 0.0 | mass
#self.staggered_grid.p000 = 0.0 | mass
#self.staggered_grid.p100 = 0.0 | mass
#self.staggered_grid.p011 = 0.0 | mass
#self.staggered_grid.p111 = 0.0 | mass
#self.staggered_grid.p001 = 0.0 | mass
#self.staggered_grid.p101 = 0.0 | mass
self.normal_grid = Grid.create(self.gridcode.grid.shape,
corner1 - corner0 + delta)
particles = Particles(self.normal_grid.size)
particles.mass = 0.0 | mass
particles.x = self.grid.x.flatten()
particles.y = self.grid.y.flatten()
particles.z = self.grid.z.flatten()
particles.vx = 0.0 | speed
particles.vy = 0.0 | speed
particles.vz = 0.0 | speed
particles.radius = 0.0 | length
self.nbodycode.particles.add_particles(particles)
self.from_model_to_nbody = particles.new_channel_to(
self.nbodycode.particles)
self.nbodycode.commit_particles()
self.particles = particles
def setup_simple_grid(self):
test_grid = Grid.create((4, 3, 2), [1.0, 1.0, 1.0] | units.m)
test_grid.rho = numpy.linspace(1.0, 2.0, num=24).reshape(
test_grid.shape) | units.kg / units.m**3
test_grid.rhovx = test_grid.rho * (3.0 | units.m / units.s)
test_grid.rhovy = test_grid.rho * (4.0 | units.m / units.s)
test_grid.rhovz = test_grid.rho * (0.0 | units.m / units.s)
test_grid.energy = test_grid.rho * ((1.0 |
(units.m / units.s)**2) + 0.5 *
(5.0 | units.m / units.s)**2)
return test_grid
def test_evolve_w_plot(sysfac,
tend=1. | units.hour,
dt=3600. | units.s,
dtplot=None):
sys = sysfac()
if dtplot is None:
dtplot = dt
pyplot.ion()
f = pyplot.figure(figsize=(10, 10))
pyplot.show()
i = 0
Lx = sys.parameters.Lx
grid = Grid.create((400, 400), (Lx, Lx))
dx, dy = grid.cellsize()
Lx = Lx.value_in(1000 * units.km)
x = grid.x.flatten()
y = grid.y.flatten()
while sys.model_time < tend - dtplot / 2:
i = i + 1
sys.evolve_model(sys.model_time + dtplot, dt=dt)
psi, dpsi = sys.get_psi_dpsidt(dx + 0. * x, x, y)
psi = psi.reshape(grid.shape)
# psi=sys.grid[:,:,0].psi
f.clf()
f1 = pyplot.subplot(111)
f1.imshow(psi.transpose() / psi.max(),
vmin=0,
vmax=1,
extent=[0, Lx, 0, Lx],
origin="lower")
f1.set_xlabel("x (x1000 km)")
pyplot.draw()
pyplot.savefig("test_bc.png")
if i % 100 == 25:
print("wait")
raw_input()
print("done")
raw_input()
def new_grid(self):
density = mass / length**3
density = density
momentum = speed * density
energy = mass / (time**2 * length)
grid = Grid.create(self.dimensions_of_mesh, (10.0, 10.0, 10.0) | length)
grid.rho = self.rho_medium
grid.rhovx = 0.0 | momentum
grid.rhovy = 0.0 | momentum
grid.rhovz = 0.0 | momentum
grid.energy = 0.0 | energy
return grid
def new_grid(self):
density = mass / length**3
density = density
momentum = speed * density
energy = mass / (time**2 * length)
grid = Grid.create(self.dimensions_of_mesh,
(10.0, 10.0, 10.0) | length)
grid.rho = self.rho_medium
grid.rhovx = 0.0 | momentum
grid.rhovy = 0.0 | momentum
grid.rhovz = 0.0 | momentum
grid.energy = 0.0 | energy
return grid
def new_grid():
grid = Grid.create(DIMENSIONS_OF_MESH, [1, 1, 1] | length)
clear_grid(grid)
return grid
def new_grid(self):
grid = Grid.create(self.dimensions_of_mesh, [1,1,1] | length)
self.clear_grid(grid)
return grid
def new_grid():
grid = Grid.create(DIMENSIONS_OF_MESH, [1,1,1] | length)
clear_grid(grid)
return grid
def create_grid(*arg):
grid = Grid.create(*arg)
grid.add_vector_attribute("momentum", ["rhovx", "rhovy", "rhovz"])
return grid
def new_grid(self):
grid = Grid.create(self.dimensions_of_mesh, [1, 1, 1] | length)
self.clear_grid(grid)
return grid
def initialize_grid(grid, magentic_field_grid):
temp = [1, 1, 1] | length
l = 1.0 | length
A_grid = Grid.create(DIMENSIONS_OF_A_MESH,
temp + grid.cellsize() * [2, 2, 0])
A_grid.position -= A_grid.cellsize() * [0.5, 0.5, 0.0]
A_grid.Az = (B0 * l / (4.0 * PI) * numpy.cos(4.0 * PI / l * A_grid.x) +
B0 * l / (2.0 * PI) * numpy.cos(2.0 * PI / l * A_grid.y))
assert grid.cellsize().x == A_grid.cellsize().x
assert grid.cellsize().y == A_grid.cellsize().y
# assert grid.dim[0] == A_grid.dim[0]
magentic_field_grid.B1i = (A_grid.Az[:-1, 1:, ...] -
A_grid.Az[:-1, :-1, ...]) / A_grid.cellsize().y
magentic_field_grid.B2i = (
-(A_grid.Az[1:, :-1, ...] - A_grid.Az[:-1, :-1, ...]) /
A_grid.cellsize().x)
magentic_field_grid.B3i = 0.0 | magnetic_field
# magentic_field_grid.B1i[-1,...,...] = magentic_field_grid.B1i[0,...,...]
# magentic_field_grid.B2i[...,-1,...] = magentic_field_grid.B2i[...,0,...]
magentic_field_grid.B1c = 0.0 | magnetic_field
magentic_field_grid.B2c = 0.0 | magnetic_field
magentic_field_grid.B3c = 0.0 | magnetic_field
magentic_field_grid.divB = 0.0 | (magnetic_field / length)
magentic_field_grid.B1c[:-1, ..., ...] = (
magentic_field_grid.B1i[:-1, ..., ...] +
magentic_field_grid.B1i[1:, ..., ...]) * 0.5
magentic_field_grid.B2c[
..., :-1, ...] = (magentic_field_grid.B2i[..., :-1, ...] +
magentic_field_grid.B2i[..., 1:, ...]) * 0.5
magentic_field_grid.B3c = magentic_field_grid.B3i
# magentic_field_grid.B1c[-1,...,...] = magentic_field_grid.B1c[0,...,...]
# magentic_field_grid.B2c[...,-1,...] = magentic_field_grid.B2c[...,0,...]
mu0 = 1.0 | (mass * length / time**2 / current**2)
magentic_field_grid.divB[0:-1, 0:-1, ...] = (
(magentic_field_grid.B1i[:-1, :-1, ...] -
magentic_field_grid.B1i[1:, :-1, ...]) / grid.cellsize().x +
(magentic_field_grid.B2i[:-1, :-1, ...] -
magentic_field_grid.B2i[:-1, 1:, ...]) / grid.cellsize().y)
assert (abs(magentic_field_grid.divB[:-1, :-1, :-1]) <
1.0e-10 | magentic_field_grid.divB.unit).all()
assert magentic_field_grid.B1i.unit == magnetic_field
grid.rho = D0
grid.rhovx = -D0 * V0 * numpy.sin(2.0 * PI / l * grid.y)
grid.rhovy = D0 * V0 * numpy.sin(2.0 * PI / l * grid.x)
grid.rhovz = 0.0 | momentum
print("sum rho vx:", grid.rhovx.sum())
print("sum rho vy:", grid.rhovy.sum())
print("sum rho vz:", grid.rhovz.sum())
grid.energy = (P0 / (GAMMA - 1) + 0.5 *
(grid.rhovx**2 + grid.rhovy**2 + grid.rhovz**2) / grid.rho +
0.5 * (magentic_field_grid.B1c[:-1, :-1, :-1]**2 +
magentic_field_grid.B2c[:-1, :-1, :-1]**2 +
magentic_field_grid.B3c[:-1, :-1, :-1]**2) / mu0)
def hydro_plot(view, hydro_code, image_size, time, figname):
"""
Produce a series of images suitable for conversion into a movie.
view: the (physical) region to plot [xmin, xmax, ymin, ymax]
hydro_code: hydrodynamics code in which the gas to be plotted is defined
image_size: size of the output image in pixels (x, y)
time: current hydro code time
"""
if not HAS_MATPLOTLIB:
return
shape = (image_size[0], image_size[1], 1)
size = image_size[0] * image_size[1]
axis_lengths = [0.0, 0.0, 0.0] | units.m
axis_lengths[0] = view[1] - view[0]
axis_lengths[1] = view[3] - view[2]
grid = Grid.create(shape, axis_lengths)
grid.x += view[0]
grid.y += view[2]
speed = grid.z.reshape(size) * (0 | 1 / units.s)
rho, rhovx, rhovy, rhovz, rhoe \
= hydro_code.get_hydro_state_at_point(
grid.x.reshape(size), grid.y.reshape(size), grid.z.reshape(size),
speed, speed, speed)
min_v = 800.0 | units.km / units.s
max_v = 3000.0 | units.km / units.s
min_rho = 3.0e-9 | units.g / units.cm**3
max_rho = 1.0e-5 | units.g / units.cm**3
min_E = 1.0e11 | units.J / units.kg
max_E = 1.0e13 | units.J / units.kg
v_sqr = (rhovx**2 + rhovy**2 + rhovz**2) / rho**2
E = rhoe / rho
log_v = numpy.log((v_sqr / min_v**2)) / numpy.log((max_v**2 / min_v**2))
log_rho = numpy.log((rho / min_rho)) / numpy.log((max_rho / min_rho))
log_E = numpy.log((E / min_E)) / numpy.log((max_E / min_E))
red = numpy.minimum(numpy.ones_like(rho.number),
numpy.maximum(numpy.zeros_like(rho.number),
log_rho)).reshape(shape)
green = numpy.minimum(numpy.ones_like(rho.number),
numpy.maximum(numpy.zeros_like(rho.number),
log_v)).reshape(shape)
blue = numpy.minimum(numpy.ones_like(rho.number),
numpy.maximum(numpy.zeros_like(rho.number),
log_E)).reshape(shape)
alpha = numpy.minimum(
numpy.ones_like(log_v),
numpy.maximum(numpy.zeros_like(log_v), numpy.log(
(rho / (10 * min_rho))))).reshape(shape)
rgba = numpy.concatenate((red, green, blue, alpha), axis=2)
pyplot.figure(figsize=(image_size[0] / 100.0, image_size[1] / 100.0),
dpi=100)
im = pyplot.figimage(rgba, origin='lower')
pyplot.savefig(figname,
transparent=True,
dpi=100,
facecolor='k',
edgecolor='k')
print("Saved hydroplot at time", time, "in file")
print(' ', figname)
pyplot.close()
def initialize_grid(grid, magentic_field_grid):
temp = [1,1,1] | length
l = 1.0 | length;
A_grid = Grid.create(DIMENSIONS_OF_A_MESH, temp + grid.cellsize()*[2,2,0])
A_grid.position -= A_grid.cellsize()*[0.5,0.5,0.0]
A_grid.Az = (
B0*l/(4.0*PI)*numpy.cos(4.0*PI/l*A_grid.x) +
B0*l/(2.0*PI)*numpy.cos(2.0*PI/l*A_grid.y))
assert grid.cellsize().x == A_grid.cellsize().x
assert grid.cellsize().y == A_grid.cellsize().y
# assert grid.dim[0] == A_grid.dim[0]
magentic_field_grid.B1i = (A_grid.Az[:-1,1:,...] - A_grid.Az[:-1,:-1,...])/A_grid.cellsize().y;
magentic_field_grid.B2i = -(A_grid.Az[1:,:-1,...] - A_grid.Az[:-1,:-1,...])/A_grid.cellsize().x;
magentic_field_grid.B3i = 0.0 | magnetic_field;
#magentic_field_grid.B1i[-1,...,...] = magentic_field_grid.B1i[0,...,...]
#magentic_field_grid.B2i[...,-1,...] = magentic_field_grid.B2i[...,0,...]
magentic_field_grid.B1c = 0.0 | magnetic_field;
magentic_field_grid.B2c = 0.0 | magnetic_field;
magentic_field_grid.B3c = 0.0 | magnetic_field;
magentic_field_grid.divB = 0.0 | (magnetic_field / length)
magentic_field_grid.B1c[:-1,...,...] = (magentic_field_grid.B1i[:-1,...,...] + magentic_field_grid.B1i[1:,...,...])*0.5
magentic_field_grid.B2c[...,:-1,...] = (magentic_field_grid.B2i[...,:-1,...] + magentic_field_grid.B2i[...,1:,...])*0.5
magentic_field_grid.B3c = magentic_field_grid.B3i
# magentic_field_grid.B1c[-1,...,...] = magentic_field_grid.B1c[0,...,...]
# magentic_field_grid.B2c[...,-1,...] = magentic_field_grid.B2c[...,0,...]
mu0 = 1.0 | (mass*length/time**2/current**2)
magentic_field_grid.divB[0:-1,0:-1,...] = (
(magentic_field_grid.B1i[:-1,:-1,...] - magentic_field_grid.B1i[1:,:-1,...])/grid.cellsize().x +
(magentic_field_grid.B2i[:-1,:-1,...] - magentic_field_grid.B2i[:-1,1:,...])/grid.cellsize().y
)
assert (abs(magentic_field_grid.divB[:-1,:-1,:-1]) < 1.0e-10 | magentic_field_grid.divB.unit).all()
assert magentic_field_grid.B1i.unit == magnetic_field
grid.rho = D0
grid.rhovx = -D0*V0*numpy.sin(2.0*PI/l*grid.y)
grid.rhovy = D0*V0*numpy.sin(2.0*PI/l*grid.x)
grid.rhovz = 0.0 | momentum
print("sum rho vx:", grid.rhovx.sum())
print("sum rho vy:",grid.rhovy.sum())
print("sum rho vz:",grid.rhovz.sum())
grid.energy = (
P0 / (GAMMA - 1) +
0.5 * (grid.rhovx**2 + grid.rhovy**2 + grid.rhovz**2)/grid.rho +
0.5 * (magentic_field_grid.B1c[:-1,:-1,:-1]**2 + magentic_field_grid.B2c[:-1,:-1,:-1]**2 + magentic_field_grid.B3c[:-1,:-1,:-1]**2)/mu0
)
