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"""Classes following the PICMI standard
"""
import numpy as np
from pywarpx import *
pi = 3.14159265358979323 # ratio of a circle's circumference to its diameter
euler = 0.57721566490153386 # Euler-Masceroni constant. Base of the natural logarithm.
amu = 1.660538921e-27 # Atomic Mass Unit [kg]
clight = 2.99792458e+8 # Speed of light in vacuum (exact) [m/s]
echarge = 1.602176565e-19 # Elementary charge [C]
emass = 9.10938291e-31 # Electron mass [kg]
mu0 = 4.e-7*pi # Permeability of free space [kg.m/(s.s.A.A)=H/m=T.m/A]
eps0 = 1./(mu0*clight*clight) # Permittivity of free space [F/m]
boltzmann = 1.3806488e-23 # Boltzmann's constant [J/K]
avogadro = 6.02214129e23 # Avogadro's Number [atoms/mole]
planck = 6.62606957e-34 # Planck's constant [J.s]
class Grid(object):
"""
- `Grid`
- **type**: *object*
- `Nx=nx` - **type**: *integer* - "Number of cells along X (Nb nodes=nx+1)."
- `Ny=ny` - **type**: *integer* - "Number of cells along Y (Nb nodes=ny+1)."
- `Nr=nr` - **type**: *integer* - "Number of cells along R (Nb nodes=nr+1)."
- `Nz=nz` - **type**: *integer* - "Number of cells along Z (Nb nodes=nz+1)."
- `Nm=nm` - **type**: *integer* - "Number of azimuthal modes."
- `Xmin=xmin` - **type**: *double* - "Position of first node along X."
- `Xmax=xmax` - **type**: *double* - "Position of last node along X."
- `Ymin=ymin` - **type**: *double* - "Position of first node along Y."
- `Ymax=ymax` - **type**: *double* - "Position of last node along Y."
- `Rmax=rmax` - **type**: *double* - "Position of last node along R."
- `Zmin=zmin` - **type**: *double* - "Position of first node along Z."
- `Zmax=zmax` - **type**: *double* - "Position of last node along Z."
- `bcxmin` - **type**: *string* - "Boundary condition at min X: periodic/open/dirichlet/neumann."
- `bcxmax` - **type**: *string* - "Boundary condition at max X: periodic/open/dirichlet/neumann."
- `bcymin` - **type**: *string* - "Boundary condition at min Y: periodic/open/dirichlet/neumann."
- `bcymax` - **type**: *string* - "Boundary condition at max Y: periodic/open/dirichlet/neumann."
- `bcrmax` - **type**: *string* - "Boundary condition at max R: open/dirichlet/neumann."
- `bczmin` - **type**: *string* - "Boundary condition at min Z: periodic/open/dirichlet/neumann."
- `bczmax` - **type**: *string* - "Boundary condition at max Z: periodic/open/dirichlet/neumann."
- max_grid_size
- max_level
- coord_sys
"""
def __init__(self, nx=None, ny=None, nr=None, nz=None, nm=None,
xmin=None, xmax=None, ymin=None, ymax=None, rmax=None, zmin=None, zmax=None,
bcxmin=None, bcxmax=None, bcymin=None, bcymax=None, bcrmax=None, bczmin=None, bczmax=None,
**kw):
self.nx = nx
self.ny = ny
self.nr = nr
self.nz = nz
self.nm = nm
self.xmin = xmin
self.xmax = xmax
self.ymin = ymin
self.ymax = ymax
self.rmax = rmax
self.zmin = zmin
self.zmax = zmax
self.bcxmin = bcxmin
self.bcxmax = bcxmax
self.bcymin = bcymin
self.bcymax = bcymax
self.bcrmax = bcrmax
self.bczmin = bczmin
self.bczmax = bczmax
amr.n_cell = '%d %d %d'%(nx, ny, nz)
# Maximum allowable size of each subdomain in the problem domain;
# this is used to decompose the domain for parallel calculations.
amr.max_grid_size = kw.get('max_grid_size', 32)
# Maximum level in hierarchy (for now must be 0, i.e., one level in total)
amr.max_level = kw.get('max_level', 0)
# Geometry
geometry.coord_sys = kw.get('coord_sys', 0) # 0: Cartesian
geometry.is_periodic = '%d %d %d'%(bcxmin=='periodic', bcymin=='periodic', bczmin=='periodic') # Is periodic?
geometry.prob_lo = '%7.0e %7.0e %7.0e'%(xmin, ymin, zmin) # physical domain
geometry.prob_hi = '%7.0e %7.0e %7.0e'%(xmax, ymax, zmax)
class EM_solver(object):
Methods_list = ['Yee', 'CK', 'CKC', 'Lehe', 'PSTD', 'PSATD', 'GPSTD']
def __init__(self, Method=None,
norderx=None, nordery=None, norderr=None, norderz=None,
l_nodal=None,
current_deposition_algo=None, charge_deposition_algo=None,
field_gathering_algo=None, particle_pusher_algo=None, **kw):
assert Method is None or Method in EM_solver.Methods_list, Exception('Method has incorrect value')
if current_deposition_algo is not None:
algo.current_deposition = current_deposition_algo
if charge_deposition_algo is not None:
algo.charge_deposition = charge_deposition_algo
if field_gathering_algo is not None:
algo.field_gathering = field_gathering_algo
if particle_pusher_algo is not None:
algo.particle_pusher = particle_pusher_algo
class Particle(object):
def __init__(self, Charge=None, charge=None, Q=None, q=None,
Mass=None, mass=None, M=None, m=None,
Symbol=None, symbol=None, S=None, s=None,
Name=None, name=None, N=None, n=None, **kw):
# --- Accept multpiple names, but use 'charge', 'mass', 'symbol', 'name' internally.
if Charge is not None: charge = Charge
if Q is not None: charge = Q
if q is not None: charge = q
if Mass is not None: mass = Mass
if M is not None: mass = M
if m is not None: mass = m
if Symbol is not None: symbol = Symbol
if S is not None: symbol = S
if s is not None: symbol = s
if Name is not None: name = Name
if N is not None: name = N
if n is not None: name = n
self.charge = charge
self.mass = mass
self.symbol = symbol
Electron = Particle(q=-echarge, m=emass, symbol='e-', name='Electron')
Positron = Particle(q=echarge, m=emass, symbol='e+', name='Positron')
Proton = Particle(q=echarge, m=1.6726231e-27, symbol='p', name='Proton')
AntiProton = Particle(q=-echarge, m=1.6726231e-27, symbol='p-', name='Antiproton')
Neutron = Particle(q=0. , m=1.6749286e-27, symbol='n', name='Neutron')
Muon = Particle(q=-echarge, m=1.883531475e-28, symbol='mu-', name='Muon')
Antimuon = Particle(q=echarge, m=1.883531475e-28, symbol='mu+', name='Antimuon')
Photon = Particle(q=0., m=0., symbol='gnu', name='Photon')
class Species(object):
def __init__(self,
Type=None, type=None,
Name=None, name=None,
Sid=None, sid=None,
Charge_state=None, charge_state=None,
Charge=None, charge=None, Q=None, q=None,
Mass=None, mass=None, M=None, m=None,
Weight=None, weight=None, W=None, w=None, **kw):
# --- Accept multpiple names, but use 'type', 'name', 'sid', 'charge_state', 'charge', 'mass', 'weight'
if Type is not None: type = Type
if Name is not None: name = Name
if Sid is not None: sid = Sid
if Charge_state is not None: charge_state = Charge_state
if Charge is not None: charge = Charge
if Q is not None: charge = Q
if q is not None: charge = q
if Mass is not None: mass = Mass
if M is not None: mass = M
if m is not None: mass = m
if Weight is not None: weight = Weight
if W is not None: weight = W
if w is not None: weight = w
self.type = type
self.name = name
self.sid = sid
self.charg_state = charg_state
self.charge = charge
self.mass = mass
self.weight = weight
self.species_number = particles.nspecies
particles.nspecies = particles.nspecies + 1
particles.species_names = particles.species_names + ' ' + name
def add_particles(self, n=None,
x=None, y=None, z=None,
ux=None, uy=None, uz=None, w=None,
unique_particles=None, **kw):
pid = np.array([w]).T
add_particles(self.species_number, x, y, z, ux, uy, uz, pid, unique_particles)
class Simulation(object):
def __init__(self, plot_int=None, verbose=None, cfl=None):
amr.plot_int = plot_int
warpx.verbose = verbose
warpx.cfl = cfl
self.amrex = AMReX()
self.amrex.init()
warpx.init()
def step(self, nsteps=-1):
warpx.evolve(nsteps)
def finalize(self):
warpx.finalize()
self.amrex.finalize()
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