def create_particles():
N = app.options.N or 20
N += 1
hfac = app.options.hfac or 1.2
rho0 = 1.0
#x,y = numpy.mgrid[-1.05:1.05+1e-4:dx, -0.105:0.105+1e-4:dx]
x = numpy.mgrid[0:1:1j*N]
dx = 1.0/(N-1)
x = x.ravel()
#y = y.ravel()
bdry = (x<=0)
print bdry, numpy.flatnonzero(bdry)
m = rho0*numpy.ones_like(x)*dx
h = numpy.ones_like(x)*hfac*dx
rho = rho0*numpy.ones_like(x)
y = z = numpy.zeros_like(x)
p = z
#cs = numpy.ones_like(x) * 10000.0
u = -x
u *= 0.1
pa = get_particle_array(x=x, y=y, m=m, rho=rho, h=h, p=p, u=u, v=z, z=z,w=z,
name='solid', type=1,
bdry=bdry,)
pa.constants['E'] = 1e9
pa.constants['nu'] = 0.3
pa.constants['G'] = pa.constants['E']/(2.0*(1+pa.constants['nu']))
pa.constants['K'] = stress_funcs.get_K(pa.constants['G'], pa.constants['nu'])
pa.constants['rho0'] = rho0
pa.constants['dr0'] = dx
pa.constants['c_s'] = numpy.sqrt(pa.constants['K']/pa.constants['rho0'])
pa.cs = numpy.ones_like(x) * pa.constants['c_s']
pa.set(idx=numpy.arange(len(pa.x)))
print 'G:', pa.G
print 'K', pa.K
print 'c_s', pa.c_s
print 'Number of particles: ', len(pa.x)
return pa
def create_particles():
#N = 21
dx = 0.1
#x,y = numpy.mgrid[-1.05:1.05+1e-4:dx, -0.105:0.105+1e-4:dx]
x,y = numpy.mgrid[-0.2:5.01:dx, -0.2:0.21:dx]
x = x.ravel()
y = y.ravel()
bdry = (x<0.01)*1.0
print 'num_particles', len(x)
print bdry, numpy.flatnonzero(bdry)
m = numpy.ones_like(x)*dx*dx
h = numpy.ones_like(x)*1.4*dx
rho = numpy.ones_like(x)
z = numpy.zeros_like(x)
p = 0.5*1.0*100*100*(1 - (x**2 + y**2))
cs = numpy.ones_like(x) * 10000.0
u = -x
u *= 1e0
h *= 1
v = 0.0*y
p *= 0.0
pa = get_particle_array(x=x, y=y, m=m, rho=rho, h=h, p=p, u=u, v=v, z=z,w=z,
bdry=bdry)
pa.constants['E'] = 1e9
pa.constants['nu'] = 0.3
pa.constants['G'] = pa.constants['E']/(2.0*(1+pa.constants['nu']))
pa.constants['K'] = stress_funcs.get_K(pa.constants['G'], pa.constants['nu'])
pa.constants['rho0'] = 1.
pa.constants['dr0'] = dx
pa.constants['c_s'] = numpy.sqrt(pa.constants['K']/pa.constants['rho0'])
pa.cs = numpy.ones_like(x) * pa.constants['c_s']
pa.set(idx=numpy.arange(len(pa.x)))
print 'G_mu', pa.G/pa.K
print 'Number of particles: ', len(pa.x)
return pa
def create_particles(two_arr=False):
#x,y = numpy.mgrid[-1.05:1.05+1e-4:dx, -0.105:0.105+1e-4:dx]
dx = 0.001 # 1mm
ri = 0.03 # 3cm inner radius
ro = 0.04 # 4cm outer radius
spacing = 0.041 # spacing = 2*5cm
x,y = numpy.mgrid[-ro:ro:dx, -ro:ro:dx]
x = x.ravel()
y = y.ravel()
d = (x*x+y*y)
keep = numpy.flatnonzero((ri*ri<=d) * (d<ro*ro))
x = x[keep]
y = y[keep]
print 'num_particles', len(x)*2
if not two_arr:
x = numpy.concatenate([x-spacing,x+spacing])
y = numpy.concatenate([y,y])
#print bdry, numpy.flatnonzero(bdry)
m = numpy.ones_like(x)*dx*dx
h = numpy.ones_like(x)*1.4*dx
rho = numpy.ones_like(x)
z = numpy.zeros_like(x)
p = 0.5*1.0*100*100*(1 - (x**2 + y**2))
cs = numpy.ones_like(x) * 10000.0
# u is set later
v = z
u_f = 0.059
p *= 0
h *= 1
#u = 0.1*numpy.sin(x*pi/2.0/5.0)
#u[numpy.flatnonzero(x<0.01)] = 0
pa = base.get_particle_array(x=x+spacing, y=y, m=m, rho=rho, h=h, p=p, u=z, v=v, z=z,w=z,
ubar=z, vbar=z, wbar=z,
name='right_ball', type=1,
sigma00=z, sigma11=z, sigma22=z,
sigma01=z, sigma12=z, sigma02=z,
MArtStress00=z, MArtStress11=z, MArtStress22=z,
MArtStress01=z, MArtStress12=z, MArtStress02=z,
#bdry=bdry
)
pa.constants['E'] = 1e7
pa.constants['nu'] = 0.3975
pa.constants['G'] = pa.constants['E']/(2.0*(1+pa.constants['nu']))
pa.constants['K'] = stress_funcs.get_K(pa.constants['G'], pa.constants['nu'])
pa.constants['rho0'] = 1.0
pa.constants['dr0'] = dx
pa.constants['c_s'] = (pa.constants['K']/pa.constants['rho0'])**0.5
pa.cs = numpy.ones_like(x) * pa.constants['c_s']
print 'c_s:', pa.c_s
print 'G:', pa.G/pa.c_s**2/pa.rho0
pa.u = pa.c_s*u_f*(2*(x<0)-1)
print 'u_f:', pa.u[0]/pa.c_s, '(%s)'%pa.u[0]
pa.set(idx=numpy.arange(len(pa.x)))
print 'Number of particles: ', len(pa.x)
print 'CFL:', pa.c_s*dt/dx/2
print 'particle_motion:', abs(pa.u[0]*dt)
if two_arr:
pb = base.get_particle_array(x=x-spacing, y=y, m=m, rho=rho, h=h, p=p, u=u, v=v, z=z,w=z,
ubar=z, vbar=z, wbar=z,
name='left_ball', type=1,
sigma00=z, sigma11=z, sigma22=z,
sigma01=z, sigma12=z, sigma02=z,
MArtStress00=z, MArtStress11=z, MArtStress22=z,
MArtStress01=z, MArtStress12=z, MArtStress02=z,
#bdry=bdry
)
pb.constants['E'] = 1e7
pb.constants['nu'] = 0.3975
pb.constants['G'] = pb.constants['E']/(2.0*1+pb.constants['nu'])
pb.constants['K'] = stress_funcs.get_K(pb.constants['G'], pb.constants['nu'])
pb.constants['rho0'] = 1.0
pb.constants['c_s'] = (pb.constants['K']/pb.constants['rho0'])**0.5
pb.cs = numpy.ones_like(x) * pb.constants['c_s']
print 'c_s:', pb.c_s
print 'G:', pb.G/pb.c_s**2/pb.rho0
print 'G_mu', pa.G/pa.K
pa.u = pa.c_s*u_f*(2*(x<0)-1)
print 'u_f:', pb.u[-1]/pb.c_s, '(%s)'%pb.u[-1]
pb.set(idx=numpy.arange(len(pb.x)))
print 'Number of particles: ', len(pb.x)
return [pa, pb]
else:
return pa
def create_particles():
#x,y = numpy.mgrid[-1.05:1.05+1e-4:dx, -0.105:0.105+1e-4:dx]
dx = 0.002 # 2mm
R = 0.02
xl = -0.05
L = 0.2
x,y,z = numpy.mgrid[xl:L+dx/2:dx, -R/2:(R+dx)/2:dx, -R/2:(R+dx)/2:dx]
x = x.ravel()
y = y.ravel()
z = z.ravel()
r2 = y**2+z**2
keep = numpy.flatnonzero(r2<R*R/4)
x = x[keep]
y = y[keep]
z = z[keep]
bdry = (x<dx/2)*1.0
bdry_indices = numpy.flatnonzero(bdry)
rod_indices = numpy.flatnonzero(1-bdry)
x2 = x[bdry_indices]
y2 = y[bdry_indices]
z2 = z[bdry_indices]
x = x[rod_indices]
y = y[rod_indices]
z = z[rod_indices]
print 'num_particles:', len(x), 'num_bdry_particles:', len(x2)
#print bdry, numpy.flatnonzero(bdry)
m = numpy.ones_like(x)*dx**dim
m2 = numpy.ones_like(x2)*dx**dim
h = numpy.ones_like(x)*1.5*dx
h2 = numpy.ones_like(x2)*1.5*dx
rho = numpy.ones_like(x)
rho2 = numpy.ones_like(x2)
p = u = x*0
vel_max = 1
v = z*vel_max/max(z)*sin(pi*x/2/L)
w = -y*vel_max/max(y)*sin(pi*x/2/L)
p2 = u2 = v2 = w2 = x2*0
pa = get_particle_array(x=x, y=y, z=z, m=m, rho=rho, h=h, p=p, u=u, v=v, w=w,
name='solid',
)
pa.constants['E'] = 1e9
pa.constants['nu'] = 0.25
pa.constants['G'] = pa.constants['E']/(2.0*(1+pa.constants['nu']))
pa.constants['K'] = stress_funcs.get_K(pa.constants['G'], pa.constants['nu'])
pa.constants['rho0'] = 1.0
pa.constants['dr0'] = dx
pa.constants['c_s'] = (pa.constants['K']/pa.constants['rho0'])**0.5
pa.cs = numpy.ones_like(x) * pa.constants['c_s']
print 'c_s:', pa.c_s
print 'G:', pa.G/pa.c_s**2/pa.rho0
print 'v_f:', pa.v[-1]/pa.c_s, '(%s)'%pa.v[-1]
print 'T:', 2*numpy.pi/(pa.E*0.02**2*(1.875/0.2)**4/(12*pa.rho0*(1-pa.nu**2)))**0.5
pa.set(idx=numpy.arange(len(pa.x)))
print 'Number of particles: ', len(pa.x)
#print 'CFL:', pa.c_s*dt/dx/2
#print 'particle_motion:', -pa.u[-1]*dt
# boundary particle array
pb = get_particle_array(x=x2, x0=x2, y=y2, y0=y2, z=z2, z0=z2,
m=m2, rho=rho2,
h=h2, p=p2,
name='bdry', type=1,
)
pb.constants['E'] = 1e7
pb.constants['nu'] = 0.25
pb.constants['G'] = pb.constants['E']/(2.0*(1+pb.constants['nu']))
pb.constants['K'] = stress_funcs.get_K(pb.constants['G'], pb.constants['nu'])
pb.constants['rho0'] = 1.0
pb.constants['dr0'] = dx
pb.constants['c_s'] = (pb.constants['K']/pb.constants['rho0'])**0.5
pb.cs = numpy.ones_like(x2) * pb.constants['c_s']
return [pa, pb]