def main():
# ----- Setup ----- #
# Simulation parameters
Nx = 30
duration = 3.0
height = 1.0
width = 1.0
# Other parameters
rho0 = 1000.0
XSPH = False
plot = True
# Create some particles
r0, pA = create_particles(Nx, rho0, width, height)
# Create the solver
kernel = CubicSpline()
method = WCSPH(height=height, rho0=rho0, r0=r0, useXSPH=XSPH, Pb=0)
integrator = PEC(useXSPH=XSPH, strict=False)
solver = Solver(method,
integrator,
kernel,
duration,
quick=False,
incrementalWriteout=False,
exportProperties=['x', 'y', 'p', 'vx', 'vy'])
# Add the particles
solver.addParticles(pA)
# Setup
solver.setup()
# ----- Run ----- #
solver.run()
# ----- Post ----- #
# Output timing
solver.timing()
# Output
exportPath = f'{sys.path[0]}/containment.hdf5'
solver.save(exportPath)
if plot == True:
plt = Plot(exportPath,
title=f'Containment (2D); {len(pA)} particles',
xmin=-0.2,
xmax=1.2,
ymin=-0.2,
ymax=1.2)
plt.save(f'{sys.path[0]}/containment.mp4')
def main():
# ----- Setup ----- #
# Simulation parameters
duration = 5.0 # Duration of the simulation [s]
height = 10.0 # Height of the fluid box [m]
width = 60.0 # Width of the fluid box [m]
compress = 1.0 # (vertical) compression factor [-]
# Computed parameters
ice_max = width / 2.0
# Coupling object
P = {'g': 9.81, 'L_interface': [], 'F_a': [], 'Pressure': [], 'F_r': []}
# Other parameters
rho0 = 1025.0
XSPH = True
print('Three different models are implemented.')
print(
'0. A cantilever beam, with a static force on the end, above the water.'
)
print(
'1. An short sheet of ice (cantilever beam) floating on water without any force.'
)
print(
'2. An long sheet of ice (cantilever beam) floating on water without any force.'
)
print('3. --')
print('4. The ice-sheet above the water.')
print('5. The scaled ice-sheet model (Valanto, 1992).')
print('6. Full scale model (Keijdener, 2018).')
P['model'] = int(input('Select model: '))
plot = input('Create animation after solving? (y/n) ').lower() == 'y'
if P['model'] > 6 or P['model'] < 0:
raise 'Invalid model selected'
if P['model'] == 5:
height = 1.0
width = 2.0
ice_max = 1.0
Nx = int(input('Number of particles in x-direction (100 > N > 10): '))
# if Nx > 500 or Nx < 10:
# raise 'Invalid number of particles.'
# Create some particles
y00, r0, pA = create_particles(Nx, rho0, width, height, ice_max, P,
compress)
P['y0'] = y00
# -- Create matrix -- #
# Beam/Ice properties
L = ice_max + r0 # Total Length [m]; one third overlap with water, two thirds to the left.
b = 1 # Width of the beam [m]
h = 1 # Height of the beam [m]
v = 0.3 # Poisson ratio [-]
P['alpha'] = 15 / 180 * np.pi # Angle of the hull [rad]
P['ice_v'] = 0.2 # Velocity of the ice-sheet [m/s]
P['ice_fy_comp'] = 11e3 # Compressive strength of the ice [Pa]
P['m2_stiffness'] = 15e5 # Rigid spring stiffness [N/m]
P['b'] = b
# General properties
if P['model'] in [0]:
E = 200e9
rho = 7800
h = 1 / 33.33
elif P['model'] in [1, 2]:
E = 140e6
rho = 916.0
duration = 1.0
if P['model'] == 1:
L = 2 * ice_max
elif P['model'] == 2:
L = 5 * ice_max
elif P['model'] in [5]:
duration = 1.5
L = 5 * ice_max
h = 1 / 33.33
b = 0.34
P['b'] = b
E = 140e6 # Young's Modulus [Pa]
rho = 916.0
elif P['model'] in [6]:
L = 1.9 * ice_max
P['ice_v'] = float(input('Ice velocity: '))
duration = float(input('Duration: '))
E = 5e9 / (1 - v**2)
P['ice_fy_comp'] = 6E5
P['m2_stiffness'] = 50 * P['ice_fy_comp']
P['alpha'] = 45 / 180 * np.pi
rho = 925.0
# Ice-penetration
P['mode'] = 1 # Start in crushing mode.
P['penetration'] = [0] # Start with zero penetration.
P['t_trans'] = 0 # Transition time [s]
P['hh'] = h / 2
# Compute one-time dynamic h.
P['h'] = 1.6 * r0
# Compute properties
n = len(pA[pA['label'] == ParticleType.Coupled]) # Number of Nodes [-]
A = b * h # Area [m^3]
I = 1 / 12 * b * h**3 # Area moment of Inertia [kg/m^3]
P['L_n'] = L / n # Node length [m]
P['m'] = rho * A # Nodal mass [kg/m]
# Assign some props
P['E'] = E
P['pois'] = v
# Compute stiffness and mass matrices
K, M = createMatrix(n, E, I, A, rho, P['L_n'])
# Set mass
pA[pA['label'] == ParticleType.Coupled]['m'] = P['m']
# Compute damping matrix
xi = 2e1 # Damping factor [-]
c_crit = np.sqrt(rho * A * rho0 * P['g']) # Critical damping factor [-]
C = np.eye(n) * 2 * xi * c_crit # Damping matrix [N/s]
# Create the solver
newmark = NewmarkBeta(beta=1 / 4, gamma=1 / 2, M=M, K=K, C=C)
kernel = Wendland()
method = WCSPH(height=height,
rho0=rho0,
r0=r0,
useXSPH=XSPH,
Pb=0,
useSummationDensity=False)
integrator = PEC(useXSPH=XSPH, strict=False)
solver = Solver(method,
integrator,
kernel,
duration,
quick=False,
damping=0.0,
incrementalWriteout=False,
maxSettle=1800,
customSettle=custom_settling,
exportProperties=['x', 'y', 'p', 'rho'],
coupling=coupling,
couplingIntegrator=newmark,
couplingProperties=P,
timeStep=None)
# Add the particles
solver.addParticles(pA)
# Setup
solver.setup()
# ----- Run ----- #
solver.run()
# ----- Post ----- #
# Output timing
solver.timing()
# Output
exportPath = '{0}/IceBreak-{1}.hdf5'.format(sys.path[0], P['model'])
solver.save(exportPath, True, solver.couplingProperties)
# Create an animation.
if plot == True:
title = 'IceBreak (2D); {0} particles'.format(len(pA))
plt = Plot(exportPath,
title=title,
xmin=-1,
xmax=width + 2 * r0,
ymin=-2 * r0,
ymax=height * 1.3 + 2 * r0)
plt.save('{0}/IceBreak-{1}.mp4'.format(sys.path[0], P['model']))
# Load the file and determine breaking length
post(exportPath)