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import festim as F | ||
import numpy as np | ||
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L = 3e-06 | ||
vertices = np.linspace(0, L, num=1000) | ||
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my_mesh = F.Mesh1D(vertices) | ||
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my_model = F.HydrogenTransportProblem() | ||
my_model.mesh = my_mesh | ||
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my_mat = F.Material(D_0=1.9e-7, E_D=0.2, name="my_mat") | ||
my_subdomain = F.VolumeSubdomain1D(id=1, borders=[0, L], material=my_mat) | ||
left_surface = F.SurfaceSubdomain1D(id=1, x=0) | ||
right_surface = F.SurfaceSubdomain1D(id=2, x=L) | ||
my_model.subdomains = [ | ||
my_subdomain, | ||
left_surface, | ||
right_surface, | ||
] | ||
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mobile_H = F.Species("H") | ||
trapped_H = F.Species("trapped_H", mobile=False) | ||
empty_trap = F.ImplicitSpecies(n=1e-3 * 6.3e28, others=[trapped_H], name="empty_trap") | ||
my_model.species = [mobile_H, trapped_H] | ||
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my_model.reactions = [ | ||
F.Reaction( | ||
p_0=1e13, | ||
E_p=0.87, | ||
k_0=3.8e-17, | ||
E_k=0.2, | ||
reactant1=mobile_H, | ||
reactant2=empty_trap, | ||
product=trapped_H, | ||
) | ||
] | ||
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from ufl import conditional, lt | ||
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implantation_time = 100 | ||
implantation_temp = 300 | ||
temperature_ramp = 8 # K/s | ||
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def temp_function(t): | ||
ramping_temperature = implantation_temp + temperature_ramp * (t - implantation_time) | ||
return conditional(lt(t, implantation_time), implantation_temp, ramping_temperature) | ||
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my_model.temperature = temp_function | ||
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my_model.boundary_conditions = [ | ||
F.DirichletBC(subdomain=right_surface, value=0, species="H"), | ||
F.DirichletBC(subdomain=left_surface, value=1e12, species=mobile_H), | ||
] | ||
my_model.exports = [ | ||
F.VTXExport("mobile_concentration_h.bp", field=mobile_H), # produces 0 in file | ||
F.VTXExport("trapped_concentration_h.bp", field=trapped_H), # produces 0 in file | ||
F.XDMFExport("mobile_concentration_h.xdmf", field=mobile_H), | ||
F.XDMFExport("trapped_concentration_h.xdmf", field=trapped_H), | ||
] | ||
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my_model.settings = F.Settings( | ||
atol=1e10, | ||
rtol=1e-10, | ||
max_iterations=30, | ||
final_time=200, | ||
) | ||
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my_model.settings.stepsize = F.Stepsize(initial_value=1 / 20) | ||
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my_model.initialise() | ||
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from petsc4py import PETSc | ||
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my_model.solver.convergence_criterion = "incremental" | ||
ksp = my_model.solver.krylov_solver | ||
opts = PETSc.Options() | ||
option_prefix = ksp.getOptionsPrefix() | ||
opts[f"{option_prefix}ksp_type"] = "cg" | ||
opts[f"{option_prefix}pc_type"] = "gamg" | ||
opts[f"{option_prefix}pc_factor_mat_solver_type"] = "mumps" | ||
ksp.setFromOptions() | ||
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times, flux_values = my_model.run() |