Deuterium adsorption on oxidised tungsten#
This validation case reproduces TDS measurements of D from oxidised W performed by Dunand et al. [22].
In the experiments, single crystal W samples (2 mm thick) with different O coverages (clean, 0.5 ML of O, 0.75 ML of O) were exposed to the D2 flux of \(\approx 1.52\times10^{18}\,\mathrm{m}^{-2}\mathrm{s}^{-1}\). D2 exposure lasted for 3000 s followed by the storage phase for 1 h. After that, TDS of samples was performed with 5 K/s ramp up to 800 K.
Following the approach of Hodille et al. [23], the evolution of the surface concentration, in the present FESTIM model, is assumed to be governed by D adsorption from the gas phase and desorption. The D diffusivity in W is defined by scaling the corresponding value for H (Fernandez et al. [24]) by a factor of \(1/\sqrt{2}\). Traps are not considered, since the D absorption flux is negligible at room temperature.
The FESTIM results are compared to the experimental data and the results of MHIMS simulation, both taken from [23].
FESTIM model#
Show code cell source
import festim as F
import fenics as f
import numpy as np
import sympy as sp
import h_transport_materials as htm
################### PARAMETERS ###################
# Exposure conditions
T0 = 300 # K
ramp = 5 # K/s
t_imp = 3000 # exposure duration, s
t_storage = 3600 # storage time, s
t_TDS = 100 # s
L = 2e-3 # half thickness, m
P_D2 = 2e-5 # D2 pressure, Pa
m_D2 = 4.0282035557e-3 / 6.022e23 # D2 molecule mass, kg
molecular_flux = P_D2 / np.sqrt(
2 * np.pi * m_D2 * T0 * 1.380649e-23
) # flux of atoms, m^-2 s^-1
# W properties
rho_W = 6.3382e28 # W atomic concentration, m^-3
n_IS = 6 * rho_W # concentration of interstitial sites, m^-3
lambda_IS = 1.117e-10 # distance between interstitial sites, m
n_surf_ref = 1.416e19 # concentration of adsorption sites, m^-2
nu0 = 1e13 # attempt frequency, s^-1
D_H = htm.diffusivities.filter(material=htm.Tungsten, author="fernandez")[0]
D0 = D_H.pre_exp.magnitude / np.sqrt(2) # diffusivity pre-factor, m^2 s^-1
E_diff = D_H.act_energy.magnitude # diffusion activation energy, eV
# Transitions
E_bs = E_diff # energy barrier from bulk to surface, eV
E_diss = 0 # energy barrier for D2 dissociation, eV
Q_sol = 1 # heat of solution, eV
################### FUNCTIONS ###################
def S0(T):
# the capturing coefficient
return f.exp(-E_diss / F.k_B / T)
def K_bs(T, surf_conc, t):
return nu0 * f.exp(-E_bs / F.k_B / T)
def run_sim(n_surf, E0, dE, theta_D0, dtheta_D, alpha, beta):
lamda_des = 1 / np.sqrt(n_surf) # average distance between adsorption sites, m
def E_des(surf_conc):
theta_D = surf_conc / n_surf
E_FD = E0 + dE / (1 + f.exp((theta_D - theta_D0) / dtheta_D))
E_des = E_FD * (1 - alpha * f.exp(-beta * (1 - theta_D)))
return E_des
def E_sb(surf_conc):
# energy barrier from surface to bulk, eV
return (E_des(surf_conc) - E_diss) / 2 + E_bs + Q_sol
def K_sb(T, surf_conc, t):
return nu0 * f.exp(-E_sb(surf_conc) / F.k_B / T)
def J_vs(T, surf_conc, t):
J_ads = (
2
* S0(T)
* (1 - surf_conc / n_surf) ** 2
* f.conditional(t <= t_imp, molecular_flux, 0)
)
J_des = (
2
* nu0
* (lamda_des * surf_conc) ** 2
* f.exp(-E_des(surf_conc) / F.k_B / T)
)
return J_ads - J_des
W_model = F.Simulation(log_level=40)
# Mesh
vertices = np.linspace(0, L, num=500)
W_model.mesh = F.MeshFromVertices(vertices)
# Materials
tungsten = F.Material(id=1, D_0=D0, E_D=E_diff)
W_model.materials = tungsten
W_model.T = F.Temperature(
value=sp.Piecewise(
(T0, F.t < t_imp + t_storage), (T0 + ramp * (F.t - t_imp - t_storage), True)
)
)
my_BC = F.SurfaceKinetics(
k_sb=K_sb,
k_bs=K_bs,
lambda_IS=lambda_IS,
n_surf=n_surf,
n_IS=n_IS,
J_vs=J_vs,
surfaces=1,
initial_condition=0,
t=F.t,
)
W_model.boundary_conditions = [my_BC, F.DirichletBC(field=0, value=0, surfaces=2)]
W_model.dt = F.Stepsize(
initial_value=1e-7,
stepsize_change_ratio=1.25,
max_stepsize=lambda t: 10 if t < t_imp + t_storage - 10 else 0.1,
dt_min=1e-9,
)
W_model.settings = F.Settings(
absolute_tolerance=1e5,
relative_tolerance=1e-11,
maximum_iterations=50,
final_time=t_imp + t_storage + t_TDS,
)
# Exports
derived_quantities = F.DerivedQuantities(
[F.AdsorbedHydrogen(surface=1), F.TotalSurface(field="T", surface=1)],
show_units=True,
)
W_model.exports = [derived_quantities]
W_model.initialise()
W_model.run()
return derived_quantities
# Fitting parameters from the paper
cases = ["clean", "0.50ML of O", "0.75ML of O"]
inputs = {
"n_surf": [n_surf_ref, n_surf_ref * (1 - 0.5), n_surf_ref * (1 - 0.75)],
"E0": [1.142, 1.111, 1.066],
"dE": [0.346, 0.289, 0.234],
"theta_D0": [0.253, 0.113, 0.161],
"dtheta_D": [0.180, 0.082, 0.057],
"alpha": [0.303, 0.460, 0.437],
"beta": [8.902, 7.240, 4.144],
}
results = {}
for i, case in enumerate(cases):
results[case] = run_sim(*[inputs[key][i] for key in inputs.keys()])
Show code cell output
Calling FFC just-in-time (JIT) compiler, this may take some time.
Calling FFC just-in-time (JIT) compiler, this may take some time.
Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
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27.2 % 1.8e+03 s Elapsed time so far: 5.9 s
27.4 % 1.8e+03 s Elapsed time so far: 5.9 s
27.5 % 1.8e+03 s Elapsed time so far: 5.9 s
27.7 % 1.9e+03 s Elapsed time so far: 5.9 s
27.8 % 1.9e+03 s Elapsed time so far: 6.0 s
28.0 % 1.9e+03 s Elapsed time so far: 6.0 s
28.1 % 1.9e+03 s Elapsed time so far: 6.0 s
28.3 % 1.9e+03 s Elapsed time so far: 6.0 s
28.4 % 1.9e+03 s Elapsed time so far: 6.0 s
28.6 % 1.9e+03 s Elapsed time so far: 6.0 s
28.7 % 1.9e+03 s Elapsed time so far: 6.0 s
28.9 % 1.9e+03 s Elapsed time so far: 6.0 s
29.0 % 1.9e+03 s Elapsed time so far: 6.0 s
29.2 % 2.0e+03 s Elapsed time so far: 6.0 s
29.3 % 2.0e+03 s Elapsed time so far: 6.0 s
29.5 % 2.0e+03 s Elapsed time so far: 6.0 s
29.6 % 2.0e+03 s Elapsed time so far: 6.0 s
29.8 % 2.0e+03 s Elapsed time so far: 6.0 s
29.9 % 2.0e+03 s Elapsed time so far: 6.0 s
30.1 % 2.0e+03 s Elapsed time so far: 6.1 s
30.2 % 2.0e+03 s Elapsed time so far: 6.1 s
30.4 % 2.0e+03 s Elapsed time so far: 6.1 s
30.5 % 2.0e+03 s Elapsed time so far: 6.1 s
30.7 % 2.1e+03 s Elapsed time so far: 6.1 s
30.8 % 2.1e+03 s Elapsed time so far: 6.1 s
31.0 % 2.1e+03 s Elapsed time so far: 6.1 s
31.1 % 2.1e+03 s Elapsed time so far: 6.1 s
31.3 % 2.1e+03 s Elapsed time so far: 6.1 s
31.4 % 2.1e+03 s Elapsed time so far: 6.1 s
31.6 % 2.1e+03 s Elapsed time so far: 6.1 s
31.7 % 2.1e+03 s Elapsed time so far: 6.1 s
31.9 % 2.1e+03 s Elapsed time so far: 6.1 s
32.0 % 2.1e+03 s Elapsed time so far: 6.1 s
32.1 % 2.2e+03 s Elapsed time so far: 6.1 s
32.3 % 2.2e+03 s Elapsed time so far: 6.2 s
32.5 % 2.2e+03 s Elapsed time so far: 6.2 s
32.6 % 2.2e+03 s Elapsed time so far: 6.2 s
32.8 % 2.2e+03 s Elapsed time so far: 6.2 s
32.9 % 2.2e+03 s Elapsed time so far: 6.2 s
33.0 % 2.2e+03 s Elapsed time so far: 6.2 s
33.2 % 2.2e+03 s Elapsed time so far: 6.2 s
33.4 % 2.2e+03 s Elapsed time so far: 6.2 s
33.5 % 2.2e+03 s Elapsed time so far: 6.2 s
33.6 % 2.3e+03 s Elapsed time so far: 6.2 s
33.8 % 2.3e+03 s Elapsed time so far: 6.2 s
33.9 % 2.3e+03 s Elapsed time so far: 6.2 s
34.1 % 2.3e+03 s Elapsed time so far: 6.2 s
34.2 % 2.3e+03 s Elapsed time so far: 6.2 s
34.4 % 2.3e+03 s Elapsed time so far: 6.2 s
34.5 % 2.3e+03 s Elapsed time so far: 6.2 s
34.7 % 2.3e+03 s Elapsed time so far: 6.2 s
34.8 % 2.3e+03 s Elapsed time so far: 6.3 s
35.0 % 2.3e+03 s Elapsed time so far: 6.3 s
35.1 % 2.4e+03 s Elapsed time so far: 6.3 s
35.3 % 2.4e+03 s Elapsed time so far: 6.3 s
35.4 % 2.4e+03 s Elapsed time so far: 6.3 s
35.6 % 2.4e+03 s Elapsed time so far: 6.3 s
35.7 % 2.4e+03 s Elapsed time so far: 6.3 s
35.9 % 2.4e+03 s Elapsed time so far: 6.3 s
36.0 % 2.4e+03 s Elapsed time so far: 6.3 s
36.2 % 2.4e+03 s Elapsed time so far: 6.3 s
36.3 % 2.4e+03 s Elapsed time so far: 6.3 s
36.5 % 2.4e+03 s Elapsed time so far: 6.3 s
36.6 % 2.5e+03 s Elapsed time so far: 6.3 s
36.8 % 2.5e+03 s Elapsed time so far: 6.3 s
36.9 % 2.5e+03 s Elapsed time so far: 6.4 s
37.1 % 2.5e+03 s Elapsed time so far: 6.4 s
37.2 % 2.5e+03 s Elapsed time so far: 6.4 s
37.4 % 2.5e+03 s Elapsed time so far: 6.4 s
37.5 % 2.5e+03 s Elapsed time so far: 6.4 s
37.7 % 2.5e+03 s Elapsed time so far: 6.4 s
37.8 % 2.5e+03 s Elapsed time so far: 6.4 s
38.0 % 2.5e+03 s Elapsed time so far: 6.4 s
38.1 % 2.6e+03 s Elapsed time so far: 6.4 s
38.3 % 2.6e+03 s Elapsed time so far: 6.4 s
38.4 % 2.6e+03 s Elapsed time so far: 6.4 s
38.6 % 2.6e+03 s Elapsed time so far: 6.4 s
38.7 % 2.6e+03 s Elapsed time so far: 6.4 s
38.9 % 2.6e+03 s Elapsed time so far: 6.4 s
39.0 % 2.6e+03 s Elapsed time so far: 6.4 s
39.2 % 2.6e+03 s Elapsed time so far: 6.5 s
39.3 % 2.6e+03 s Elapsed time so far: 6.5 s
39.5 % 2.6e+03 s Elapsed time so far: 6.5 s
39.6 % 2.7e+03 s Elapsed time so far: 6.5 s
39.8 % 2.7e+03 s Elapsed time so far: 6.5 s
39.9 % 2.7e+03 s Elapsed time so far: 6.5 s
40.1 % 2.7e+03 s Elapsed time so far: 6.5 s
40.2 % 2.7e+03 s Elapsed time so far: 6.5 s
40.4 % 2.7e+03 s Elapsed time so far: 6.5 s
40.5 % 2.7e+03 s Elapsed time so far: 6.5 s
40.7 % 2.7e+03 s Elapsed time so far: 6.5 s
40.8 % 2.7e+03 s Elapsed time so far: 6.5 s
41.0 % 2.7e+03 s Elapsed time so far: 6.5 s
41.1 % 2.8e+03 s Elapsed time so far: 6.5 s
41.3 % 2.8e+03 s Elapsed time so far: 6.5 s
41.4 % 2.8e+03 s Elapsed time so far: 6.6 s
41.6 % 2.8e+03 s Elapsed time so far: 6.6 s
41.7 % 2.8e+03 s Elapsed time so far: 6.6 s
41.9 % 2.8e+03 s Elapsed time so far: 6.6 s
42.0 % 2.8e+03 s Elapsed time so far: 6.6 s
42.1 % 2.8e+03 s Elapsed time so far: 6.6 s
42.3 % 2.8e+03 s Elapsed time so far: 6.6 s
42.5 % 2.8e+03 s Elapsed time so far: 6.6 s
42.6 % 2.9e+03 s Elapsed time so far: 6.6 s
42.8 % 2.9e+03 s Elapsed time so far: 6.6 s
42.9 % 2.9e+03 s Elapsed time so far: 6.6 s
43.0 % 2.9e+03 s Elapsed time so far: 6.6 s
43.2 % 2.9e+03 s Elapsed time so far: 6.6 s
43.4 % 2.9e+03 s Elapsed time so far: 6.6 s
43.5 % 2.9e+03 s Elapsed time so far: 6.6 s
43.6 % 2.9e+03 s Elapsed time so far: 6.7 s
43.8 % 2.9e+03 s Elapsed time so far: 6.7 s
43.9 % 2.9e+03 s Elapsed time so far: 6.7 s
44.1 % 3.0e+03 s Elapsed time so far: 6.7 s
44.2 % 3.0e+03 s Elapsed time so far: 6.7 s
44.4 % 3.0e+03 s Elapsed time so far: 6.7 s
44.5 % 3.0e+03 s Elapsed time so far: 6.7 s
44.7 % 3.0e+03 s Elapsed time so far: 6.7 s
44.8 % 3.0e+03 s Elapsed time so far: 6.7 s
45.0 % 3.0e+03 s Elapsed time so far: 6.7 s
45.1 % 3.0e+03 s Elapsed time so far: 6.7 s
45.3 % 3.0e+03 s Elapsed time so far: 6.8 s
45.4 % 3.0e+03 s Elapsed time so far: 6.8 s
45.6 % 3.1e+03 s Elapsed time so far: 6.8 s
45.7 % 3.1e+03 s Elapsed time so far: 6.8 s
45.9 % 3.1e+03 s Elapsed time so far: 6.8 s
46.0 % 3.1e+03 s Elapsed time so far: 6.8 s
46.2 % 3.1e+03 s Elapsed time so far: 6.8 s
46.3 % 3.1e+03 s Elapsed time so far: 6.8 s
46.5 % 3.1e+03 s Elapsed time so far: 6.8 s
46.6 % 3.1e+03 s Elapsed time so far: 6.9 s
46.8 % 3.1e+03 s Elapsed time so far: 6.9 s
46.9 % 3.1e+03 s Elapsed time so far: 6.9 s
47.1 % 3.2e+03 s Elapsed time so far: 6.9 s
47.2 % 3.2e+03 s Elapsed time so far: 6.9 s
47.4 % 3.2e+03 s Elapsed time so far: 6.9 s
47.5 % 3.2e+03 s Elapsed time so far: 6.9 s
47.7 % 3.2e+03 s Elapsed time so far: 6.9 s
47.8 % 3.2e+03 s Elapsed time so far: 7.0 s
48.0 % 3.2e+03 s Elapsed time so far: 7.0 s
48.1 % 3.2e+03 s Elapsed time so far: 7.0 s
48.3 % 3.2e+03 s Elapsed time so far: 7.0 s
48.4 % 3.2e+03 s Elapsed time so far: 7.0 s
48.6 % 3.3e+03 s Elapsed time so far: 7.0 s
48.7 % 3.3e+03 s Elapsed time so far: 7.0 s
48.9 % 3.3e+03 s Elapsed time so far: 7.0 s
49.0 % 3.3e+03 s Elapsed time so far: 7.0 s
49.2 % 3.3e+03 s Elapsed time so far: 7.1 s
49.3 % 3.3e+03 s Elapsed time so far: 7.1 s
49.5 % 3.3e+03 s Elapsed time so far: 7.1 s
49.6 % 3.3e+03 s Elapsed time so far: 7.1 s
49.8 % 3.3e+03 s Elapsed time so far: 7.1 s
49.9 % 3.3e+03 s Elapsed time so far: 7.1 s
50.1 % 3.4e+03 s Elapsed time so far: 7.1 s
50.2 % 3.4e+03 s Elapsed time so far: 7.1 s
50.4 % 3.4e+03 s Elapsed time so far: 7.1 s
50.5 % 3.4e+03 s Elapsed time so far: 7.1 s
50.7 % 3.4e+03 s Elapsed time so far: 7.2 s
50.8 % 3.4e+03 s Elapsed time so far: 7.2 s
51.0 % 3.4e+03 s Elapsed time so far: 7.2 s
51.1 % 3.4e+03 s Elapsed time so far: 7.2 s
51.3 % 3.4e+03 s Elapsed time so far: 7.2 s
51.4 % 3.4e+03 s Elapsed time so far: 7.2 s
51.6 % 3.5e+03 s Elapsed time so far: 7.2 s
51.7 % 3.5e+03 s Elapsed time so far: 7.2 s
51.9 % 3.5e+03 s Elapsed time so far: 7.2 s
52.0 % 3.5e+03 s Elapsed time so far: 7.2 s
52.1 % 3.5e+03 s Elapsed time so far: 7.3 s
52.3 % 3.5e+03 s Elapsed time so far: 7.3 s
52.5 % 3.5e+03 s Elapsed time so far: 7.3 s
52.6 % 3.5e+03 s Elapsed time so far: 7.3 s
52.8 % 3.5e+03 s Elapsed time so far: 7.3 s
52.9 % 3.5e+03 s Elapsed time so far: 7.3 s
53.0 % 3.6e+03 s Elapsed time so far: 7.3 s
53.2 % 3.6e+03 s Elapsed time so far: 7.3 s
53.4 % 3.6e+03 s Elapsed time so far: 7.3 s
53.5 % 3.6e+03 s Elapsed time so far: 7.3 s
53.6 % 3.6e+03 s Elapsed time so far: 7.4 s
53.8 % 3.6e+03 s Elapsed time so far: 7.4 s
53.9 % 3.6e+03 s Elapsed time so far: 7.4 s
54.1 % 3.6e+03 s Elapsed time so far: 7.4 s
54.2 % 3.6e+03 s Elapsed time so far: 7.4 s
54.4 % 3.6e+03 s Elapsed time so far: 7.4 s
54.5 % 3.7e+03 s Elapsed time so far: 7.4 s
54.7 % 3.7e+03 s Elapsed time so far: 7.4 s
54.8 % 3.7e+03 s Elapsed time so far: 7.4 s
55.0 % 3.7e+03 s Elapsed time so far: 7.4 s
55.1 % 3.7e+03 s Elapsed time so far: 7.5 s
55.3 % 3.7e+03 s Elapsed time so far: 7.5 s
55.4 % 3.7e+03 s Elapsed time so far: 7.5 s
55.6 % 3.7e+03 s Elapsed time so far: 7.5 s
55.7 % 3.7e+03 s Elapsed time so far: 7.5 s
55.9 % 3.7e+03 s Elapsed time so far: 7.5 s
56.0 % 3.8e+03 s Elapsed time so far: 7.5 s
56.2 % 3.8e+03 s Elapsed time so far: 7.5 s
56.3 % 3.8e+03 s Elapsed time so far: 7.5 s
56.5 % 3.8e+03 s Elapsed time so far: 7.5 s
56.6 % 3.8e+03 s Elapsed time so far: 7.6 s
56.8 % 3.8e+03 s Elapsed time so far: 7.6 s
56.9 % 3.8e+03 s Elapsed time so far: 7.6 s
57.1 % 3.8e+03 s Elapsed time so far: 7.6 s
57.2 % 3.8e+03 s Elapsed time so far: 7.6 s
57.4 % 3.8e+03 s Elapsed time so far: 7.6 s
57.5 % 3.9e+03 s Elapsed time so far: 7.6 s
57.7 % 3.9e+03 s Elapsed time so far: 7.6 s
57.8 % 3.9e+03 s Elapsed time so far: 7.6 s
58.0 % 3.9e+03 s Elapsed time so far: 7.7 s
58.1 % 3.9e+03 s Elapsed time so far: 7.7 s
58.3 % 3.9e+03 s Elapsed time so far: 7.7 s
58.4 % 3.9e+03 s Elapsed time so far: 7.7 s
58.6 % 3.9e+03 s Elapsed time so far: 7.7 s
58.7 % 3.9e+03 s Elapsed time so far: 7.7 s
58.9 % 3.9e+03 s Elapsed time so far: 7.7 s
59.0 % 4.0e+03 s Elapsed time so far: 7.7 s
59.2 % 4.0e+03 s Elapsed time so far: 7.7 s
59.3 % 4.0e+03 s Elapsed time so far: 7.7 s
59.5 % 4.0e+03 s Elapsed time so far: 7.8 s
59.6 % 4.0e+03 s Elapsed time so far: 7.8 s
59.8 % 4.0e+03 s Elapsed time so far: 7.8 s
59.9 % 4.0e+03 s Elapsed time so far: 7.8 s
60.1 % 4.0e+03 s Elapsed time so far: 7.8 s
60.2 % 4.0e+03 s Elapsed time so far: 7.8 s
60.4 % 4.0e+03 s Elapsed time so far: 7.8 s
60.5 % 4.1e+03 s Elapsed time so far: 7.8 s
60.7 % 4.1e+03 s Elapsed time so far: 7.8 s
60.8 % 4.1e+03 s Elapsed time so far: 7.8 s
61.0 % 4.1e+03 s Elapsed time so far: 7.9 s
61.1 % 4.1e+03 s Elapsed time so far: 7.9 s
61.3 % 4.1e+03 s Elapsed time so far: 7.9 s
61.4 % 4.1e+03 s Elapsed time so far: 7.9 s
61.6 % 4.1e+03 s Elapsed time so far: 7.9 s
61.7 % 4.1e+03 s Elapsed time so far: 7.9 s
61.9 % 4.1e+03 s Elapsed time so far: 7.9 s
62.0 % 4.2e+03 s Elapsed time so far: 7.9 s
62.1 % 4.2e+03 s Elapsed time so far: 7.9 s
62.3 % 4.2e+03 s Elapsed time so far: 7.9 s
62.5 % 4.2e+03 s Elapsed time so far: 8.0 s
62.6 % 4.2e+03 s Elapsed time so far: 8.0 s
62.8 % 4.2e+03 s Elapsed time so far: 8.0 s
62.9 % 4.2e+03 s Elapsed time so far: 8.0 s
63.0 % 4.2e+03 s Elapsed time so far: 8.0 s
63.2 % 4.2e+03 s Elapsed time so far: 8.0 s
63.4 % 4.2e+03 s Elapsed time so far: 8.0 s
63.5 % 4.3e+03 s Elapsed time so far: 8.0 s
63.6 % 4.3e+03 s Elapsed time so far: 8.0 s
63.8 % 4.3e+03 s Elapsed time so far: 8.0 s
63.9 % 4.3e+03 s Elapsed time so far: 8.1 s
64.1 % 4.3e+03 s Elapsed time so far: 8.1 s
64.2 % 4.3e+03 s Elapsed time so far: 8.1 s
64.4 % 4.3e+03 s Elapsed time so far: 8.1 s
64.5 % 4.3e+03 s Elapsed time so far: 8.1 s
64.7 % 4.3e+03 s Elapsed time so far: 8.1 s
64.8 % 4.3e+03 s Elapsed time so far: 8.1 s
65.0 % 4.4e+03 s Elapsed time so far: 8.1 s
65.1 % 4.4e+03 s Elapsed time so far: 8.1 s
65.3 % 4.4e+03 s Elapsed time so far: 8.1 s
65.4 % 4.4e+03 s Elapsed time so far: 8.2 s
65.6 % 4.4e+03 s Elapsed time so far: 8.2 s
65.7 % 4.4e+03 s Elapsed time so far: 8.2 s
65.9 % 4.4e+03 s Elapsed time so far: 8.2 s
66.0 % 4.4e+03 s Elapsed time so far: 8.2 s
66.2 % 4.4e+03 s Elapsed time so far: 8.2 s
66.3 % 4.4e+03 s Elapsed time so far: 8.2 s
66.5 % 4.5e+03 s Elapsed time so far: 8.2 s
66.6 % 4.5e+03 s Elapsed time so far: 8.2 s
66.8 % 4.5e+03 s Elapsed time so far: 8.2 s
66.9 % 4.5e+03 s Elapsed time so far: 8.2 s
67.1 % 4.5e+03 s Elapsed time so far: 8.3 s
67.2 % 4.5e+03 s Elapsed time so far: 8.3 s
67.4 % 4.5e+03 s Elapsed time so far: 8.3 s
67.5 % 4.5e+03 s Elapsed time so far: 8.3 s
67.7 % 4.5e+03 s Elapsed time so far: 8.3 s
67.8 % 4.5e+03 s Elapsed time so far: 8.3 s
68.0 % 4.6e+03 s Elapsed time so far: 8.3 s
68.1 % 4.6e+03 s Elapsed time so far: 8.3 s
68.3 % 4.6e+03 s Elapsed time so far: 8.3 s
68.4 % 4.6e+03 s Elapsed time so far: 8.3 s
68.6 % 4.6e+03 s Elapsed time so far: 8.4 s
68.7 % 4.6e+03 s Elapsed time so far: 8.4 s
68.9 % 4.6e+03 s Elapsed time so far: 8.4 s
69.0 % 4.6e+03 s Elapsed time so far: 8.4 s
69.2 % 4.6e+03 s Elapsed time so far: 8.4 s
69.3 % 4.6e+03 s Elapsed time so far: 8.4 s
69.5 % 4.7e+03 s Elapsed time so far: 8.4 s
69.6 % 4.7e+03 s Elapsed time so far: 8.4 s
69.8 % 4.7e+03 s Elapsed time so far: 8.4 s
69.9 % 4.7e+03 s Elapsed time so far: 8.5 s
70.1 % 4.7e+03 s Elapsed time so far: 8.5 s
70.2 % 4.7e+03 s Elapsed time so far: 8.5 s
70.4 % 4.7e+03 s Elapsed time so far: 8.5 s
70.5 % 4.7e+03 s Elapsed time so far: 8.5 s
70.7 % 4.7e+03 s Elapsed time so far: 8.5 s
70.8 % 4.7e+03 s Elapsed time so far: 8.5 s
71.0 % 4.8e+03 s Elapsed time so far: 8.5 s
71.1 % 4.8e+03 s Elapsed time so far: 8.5 s
71.3 % 4.8e+03 s Elapsed time so far: 8.5 s
71.4 % 4.8e+03 s Elapsed time so far: 8.6 s
71.6 % 4.8e+03 s Elapsed time so far: 8.6 s
71.7 % 4.8e+03 s Elapsed time so far: 8.6 s
71.8 % 4.8e+03 s Elapsed time so far: 8.6 s
72.0 % 4.8e+03 s Elapsed time so far: 8.6 s
72.2 % 4.8e+03 s Elapsed time so far: 8.6 s
72.3 % 4.8e+03 s Elapsed time so far: 8.6 s
72.5 % 4.9e+03 s Elapsed time so far: 8.6 s
72.6 % 4.9e+03 s Elapsed time so far: 8.6 s
72.8 % 4.9e+03 s Elapsed time so far: 8.6 s
72.9 % 4.9e+03 s Elapsed time so far: 8.7 s
73.0 % 4.9e+03 s Elapsed time so far: 8.7 s
73.2 % 4.9e+03 s Elapsed time so far: 8.7 s
73.3 % 4.9e+03 s Elapsed time so far: 8.7 s
73.5 % 4.9e+03 s Elapsed time so far: 8.7 s
73.7 % 4.9e+03 s Elapsed time so far: 8.7 s
73.8 % 4.9e+03 s Elapsed time so far: 8.7 s
73.9 % 5.0e+03 s Elapsed time so far: 8.7 s
74.1 % 5.0e+03 s Elapsed time so far: 8.7 s
74.2 % 5.0e+03 s Elapsed time so far: 8.7 s
74.4 % 5.0e+03 s Elapsed time so far: 8.8 s
74.5 % 5.0e+03 s Elapsed time so far: 8.8 s
74.7 % 5.0e+03 s Elapsed time so far: 8.8 s
74.8 % 5.0e+03 s Elapsed time so far: 8.8 s
75.0 % 5.0e+03 s Elapsed time so far: 8.8 s
75.1 % 5.0e+03 s Elapsed time so far: 8.8 s
75.3 % 5.0e+03 s Elapsed time so far: 8.8 s
75.4 % 5.1e+03 s Elapsed time so far: 8.8 s
75.6 % 5.1e+03 s Elapsed time so far: 8.8 s
75.7 % 5.1e+03 s Elapsed time so far: 8.9 s
75.9 % 5.1e+03 s Elapsed time so far: 8.9 s
76.0 % 5.1e+03 s Elapsed time so far: 8.9 s
76.2 % 5.1e+03 s Elapsed time so far: 8.9 s
76.3 % 5.1e+03 s Elapsed time so far: 8.9 s
76.5 % 5.1e+03 s Elapsed time so far: 8.9 s
76.6 % 5.1e+03 s Elapsed time so far: 8.9 s
76.8 % 5.1e+03 s Elapsed time so far: 8.9 s
76.9 % 5.2e+03 s Elapsed time so far: 8.9 s
77.1 % 5.2e+03 s Elapsed time so far: 8.9 s
77.2 % 5.2e+03 s Elapsed time so far: 9.0 s
77.4 % 5.2e+03 s Elapsed time so far: 9.0 s
77.5 % 5.2e+03 s Elapsed time so far: 9.0 s
77.7 % 5.2e+03 s Elapsed time so far: 9.0 s
77.8 % 5.2e+03 s Elapsed time so far: 9.0 s
78.0 % 5.2e+03 s Elapsed time so far: 9.0 s
78.1 % 5.2e+03 s Elapsed time so far: 9.0 s
78.3 % 5.2e+03 s Elapsed time so far: 9.0 s
78.4 % 5.3e+03 s Elapsed time so far: 9.0 s
78.6 % 5.3e+03 s Elapsed time so far: 9.0 s
78.7 % 5.3e+03 s Elapsed time so far: 9.1 s
78.9 % 5.3e+03 s Elapsed time so far: 9.1 s
79.0 % 5.3e+03 s Elapsed time so far: 9.1 s
79.2 % 5.3e+03 s Elapsed time so far: 9.1 s
79.3 % 5.3e+03 s Elapsed time so far: 9.1 s
79.5 % 5.3e+03 s Elapsed time so far: 9.1 s
79.6 % 5.3e+03 s Elapsed time so far: 9.1 s
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79.9 % 5.4e+03 s Elapsed time so far: 9.1 s
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88.6 % 5.9e+03 s Elapsed time so far: 9.7 s
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88.9 % 6.0e+03 s Elapsed time so far: 9.7 s
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90.5 % 6.1e+03 s Elapsed time so far: 9.9 s
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91.0 % 6.1e+03 s Elapsed time so far: 9.9 s
91.1 % 6.1e+03 s Elapsed time so far: 9.9 s
91.3 % 6.1e+03 s Elapsed time so far: 9.9 s
91.4 % 6.1e+03 s Elapsed time so far: 9.9 s
91.6 % 6.1e+03 s Elapsed time so far: 9.9 s
91.7 % 6.1e+03 s Elapsed time so far: 9.9 s
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92.0 % 6.2e+03 s Elapsed time so far: 10.0 s
92.2 % 6.2e+03 s Elapsed time so far: 10.0 s
92.3 % 6.2e+03 s Elapsed time so far: 10.0 s
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92.6 % 6.2e+03 s Elapsed time so far: 10.0 s
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93.0 % 6.2e+03 s Elapsed time so far: 10.0 s
93.2 % 6.2e+03 s Elapsed time so far: 10.0 s
93.3 % 6.3e+03 s Elapsed time so far: 10.0 s
93.5 % 6.3e+03 s Elapsed time so far: 10.1 s
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94.7 % 6.3e+03 s Elapsed time so far: 10.1 s
94.8 % 6.4e+03 s Elapsed time so far: 10.1 s
95.0 % 6.4e+03 s Elapsed time so far: 10.2 s
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95.3 % 6.4e+03 s Elapsed time so far: 10.2 s
95.4 % 6.4e+03 s Elapsed time so far: 10.2 s
95.6 % 6.4e+03 s Elapsed time so far: 10.2 s
95.7 % 6.4e+03 s Elapsed time so far: 10.2 s
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96.3 % 6.5e+03 s Elapsed time so far: 10.2 s
96.5 % 6.5e+03 s Elapsed time so far: 10.3 s
96.6 % 6.5e+03 s Elapsed time so far: 10.3 s
96.8 % 6.5e+03 s Elapsed time so far: 10.3 s
96.9 % 6.5e+03 s Elapsed time so far: 10.3 s
97.1 % 6.5e+03 s Elapsed time so far: 10.3 s
97.2 % 6.5e+03 s Elapsed time so far: 10.3 s
97.4 % 6.5e+03 s Elapsed time so far: 10.3 s
97.5 % 6.5e+03 s Elapsed time so far: 10.3 s
97.7 % 6.5e+03 s Elapsed time so far: 10.3 s
97.8 % 6.6e+03 s Elapsed time so far: 10.4 s
98.0 % 6.6e+03 s Elapsed time so far: 10.4 s
98.1 % 6.6e+03 s Elapsed time so far: 10.4 s
98.3 % 6.6e+03 s Elapsed time so far: 10.4 s
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98.4 % 6.6e+03 s Elapsed time so far: 10.5 s
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100.0 % 6.7e+03 s Elapsed time so far: 22.0 s
Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
Calling FFC just-in-time (JIT) compiler, this may take some time.
Calling FFC just-in-time (JIT) compiler, this may take some time.
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22.8 % 1.5e+03 s Elapsed time so far: 3.4 s
22.9 % 1.5e+03 s Elapsed time so far: 3.4 s
23.1 % 1.5e+03 s Elapsed time so far: 3.4 s
23.2 % 1.6e+03 s Elapsed time so far: 3.4 s
23.4 % 1.6e+03 s Elapsed time so far: 3.5 s
23.5 % 1.6e+03 s Elapsed time so far: 3.5 s
23.6 % 1.6e+03 s Elapsed time so far: 3.5 s
23.8 % 1.6e+03 s Elapsed time so far: 3.5 s
23.9 % 1.6e+03 s Elapsed time so far: 3.5 s
24.1 % 1.6e+03 s Elapsed time so far: 3.5 s
24.2 % 1.6e+03 s Elapsed time so far: 3.5 s
24.4 % 1.6e+03 s Elapsed time so far: 3.5 s
24.5 % 1.6e+03 s Elapsed time so far: 3.5 s
24.7 % 1.7e+03 s Elapsed time so far: 3.5 s
24.8 % 1.7e+03 s Elapsed time so far: 3.5 s
25.0 % 1.7e+03 s Elapsed time so far: 3.5 s
25.1 % 1.7e+03 s Elapsed time so far: 3.5 s
25.3 % 1.7e+03 s Elapsed time so far: 3.5 s
25.4 % 1.7e+03 s Elapsed time so far: 3.5 s
25.6 % 1.7e+03 s Elapsed time so far: 3.6 s
25.7 % 1.7e+03 s Elapsed time so far: 3.6 s
25.9 % 1.7e+03 s Elapsed time so far: 3.6 s
26.0 % 1.7e+03 s Elapsed time so far: 3.6 s
26.2 % 1.8e+03 s Elapsed time so far: 3.6 s
26.3 % 1.8e+03 s Elapsed time so far: 3.6 s
26.5 % 1.8e+03 s Elapsed time so far: 3.6 s
26.6 % 1.8e+03 s Elapsed time so far: 3.6 s
26.8 % 1.8e+03 s Elapsed time so far: 3.6 s
26.9 % 1.8e+03 s Elapsed time so far: 3.6 s
27.1 % 1.8e+03 s Elapsed time so far: 3.6 s
27.2 % 1.8e+03 s Elapsed time so far: 3.6 s
27.4 % 1.8e+03 s Elapsed time so far: 3.6 s
27.5 % 1.8e+03 s Elapsed time so far: 3.6 s
27.7 % 1.9e+03 s Elapsed time so far: 3.6 s
27.8 % 1.9e+03 s Elapsed time so far: 3.7 s
28.0 % 1.9e+03 s Elapsed time so far: 3.7 s
28.1 % 1.9e+03 s Elapsed time so far: 3.7 s
28.3 % 1.9e+03 s Elapsed time so far: 3.7 s
28.4 % 1.9e+03 s Elapsed time so far: 3.7 s
28.6 % 1.9e+03 s Elapsed time so far: 3.7 s
28.7 % 1.9e+03 s Elapsed time so far: 3.7 s
28.9 % 1.9e+03 s Elapsed time so far: 3.7 s
29.0 % 1.9e+03 s Elapsed time so far: 3.7 s
29.2 % 2.0e+03 s Elapsed time so far: 3.7 s
29.3 % 2.0e+03 s Elapsed time so far: 3.7 s
29.5 % 2.0e+03 s Elapsed time so far: 3.7 s
29.6 % 2.0e+03 s Elapsed time so far: 3.7 s
29.8 % 2.0e+03 s Elapsed time so far: 3.7 s
29.9 % 2.0e+03 s Elapsed time so far: 3.7 s
30.1 % 2.0e+03 s Elapsed time so far: 3.8 s
30.2 % 2.0e+03 s Elapsed time so far: 3.8 s
30.4 % 2.0e+03 s Elapsed time so far: 3.8 s
30.5 % 2.0e+03 s Elapsed time so far: 3.8 s
30.7 % 2.1e+03 s Elapsed time so far: 3.8 s
30.8 % 2.1e+03 s Elapsed time so far: 3.8 s
31.0 % 2.1e+03 s Elapsed time so far: 3.8 s
31.1 % 2.1e+03 s Elapsed time so far: 3.8 s
31.3 % 2.1e+03 s Elapsed time so far: 3.8 s
31.4 % 2.1e+03 s Elapsed time so far: 3.8 s
31.6 % 2.1e+03 s Elapsed time so far: 3.8 s
31.7 % 2.1e+03 s Elapsed time so far: 3.8 s
31.9 % 2.1e+03 s Elapsed time so far: 3.8 s
32.0 % 2.1e+03 s Elapsed time so far: 3.8 s
32.1 % 2.2e+03 s Elapsed time so far: 3.8 s
32.3 % 2.2e+03 s Elapsed time so far: 3.9 s
32.5 % 2.2e+03 s Elapsed time so far: 3.9 s
32.6 % 2.2e+03 s Elapsed time so far: 3.9 s
32.8 % 2.2e+03 s Elapsed time so far: 3.9 s
32.9 % 2.2e+03 s Elapsed time so far: 3.9 s
33.0 % 2.2e+03 s Elapsed time so far: 3.9 s
33.2 % 2.2e+03 s Elapsed time so far: 3.9 s
33.4 % 2.2e+03 s Elapsed time so far: 3.9 s
33.5 % 2.2e+03 s Elapsed time so far: 3.9 s
33.6 % 2.3e+03 s Elapsed time so far: 3.9 s
33.8 % 2.3e+03 s Elapsed time so far: 3.9 s
33.9 % 2.3e+03 s Elapsed time so far: 3.9 s
34.1 % 2.3e+03 s Elapsed time so far: 3.9 s
34.2 % 2.3e+03 s Elapsed time so far: 3.9 s
34.4 % 2.3e+03 s Elapsed time so far: 3.9 s
34.5 % 2.3e+03 s Elapsed time so far: 4.0 s
34.7 % 2.3e+03 s Elapsed time so far: 4.0 s
34.8 % 2.3e+03 s Elapsed time so far: 4.0 s
35.0 % 2.3e+03 s Elapsed time so far: 4.0 s
35.1 % 2.4e+03 s Elapsed time so far: 4.0 s
35.3 % 2.4e+03 s Elapsed time so far: 4.0 s
35.4 % 2.4e+03 s Elapsed time so far: 4.0 s
35.6 % 2.4e+03 s Elapsed time so far: 4.0 s
35.7 % 2.4e+03 s Elapsed time so far: 4.0 s
35.9 % 2.4e+03 s Elapsed time so far: 4.0 s
36.0 % 2.4e+03 s Elapsed time so far: 4.0 s
36.2 % 2.4e+03 s Elapsed time so far: 4.0 s
36.3 % 2.4e+03 s Elapsed time so far: 4.0 s
36.5 % 2.4e+03 s Elapsed time so far: 4.0 s
36.6 % 2.5e+03 s Elapsed time so far: 4.0 s
36.8 % 2.5e+03 s Elapsed time so far: 4.0 s
36.9 % 2.5e+03 s Elapsed time so far: 4.0 s
37.1 % 2.5e+03 s Elapsed time so far: 4.1 s
37.2 % 2.5e+03 s Elapsed time so far: 4.1 s
37.4 % 2.5e+03 s Elapsed time so far: 4.1 s
37.5 % 2.5e+03 s Elapsed time so far: 4.1 s
37.7 % 2.5e+03 s Elapsed time so far: 4.1 s
37.8 % 2.5e+03 s Elapsed time so far: 4.1 s
38.0 % 2.5e+03 s Elapsed time so far: 4.1 s
38.1 % 2.6e+03 s Elapsed time so far: 4.1 s
38.3 % 2.6e+03 s Elapsed time so far: 4.1 s
38.4 % 2.6e+03 s Elapsed time so far: 4.1 s
38.6 % 2.6e+03 s Elapsed time so far: 4.1 s
38.7 % 2.6e+03 s Elapsed time so far: 4.1 s
38.9 % 2.6e+03 s Elapsed time so far: 4.1 s
39.0 % 2.6e+03 s Elapsed time so far: 4.2 s
39.2 % 2.6e+03 s Elapsed time so far: 4.2 s
39.3 % 2.6e+03 s Elapsed time so far: 4.2 s
39.5 % 2.6e+03 s Elapsed time so far: 4.2 s
39.6 % 2.7e+03 s Elapsed time so far: 4.2 s
39.8 % 2.7e+03 s Elapsed time so far: 4.2 s
39.9 % 2.7e+03 s Elapsed time so far: 4.2 s
40.1 % 2.7e+03 s Elapsed time so far: 4.2 s
40.2 % 2.7e+03 s Elapsed time so far: 4.2 s
40.4 % 2.7e+03 s Elapsed time so far: 4.2 s
40.5 % 2.7e+03 s Elapsed time so far: 4.2 s
40.7 % 2.7e+03 s Elapsed time so far: 4.2 s
40.8 % 2.7e+03 s Elapsed time so far: 4.2 s
41.0 % 2.7e+03 s Elapsed time so far: 4.2 s
41.1 % 2.8e+03 s Elapsed time so far: 4.2 s
41.3 % 2.8e+03 s Elapsed time so far: 4.2 s
41.4 % 2.8e+03 s Elapsed time so far: 4.2 s
41.6 % 2.8e+03 s Elapsed time so far: 4.3 s
41.7 % 2.8e+03 s Elapsed time so far: 4.3 s
41.9 % 2.8e+03 s Elapsed time so far: 4.3 s
42.0 % 2.8e+03 s Elapsed time so far: 4.3 s
42.1 % 2.8e+03 s Elapsed time so far: 4.3 s
42.3 % 2.8e+03 s Elapsed time so far: 4.3 s
42.5 % 2.8e+03 s Elapsed time so far: 4.3 s
42.6 % 2.9e+03 s Elapsed time so far: 4.3 s
42.8 % 2.9e+03 s Elapsed time so far: 4.3 s
42.9 % 2.9e+03 s Elapsed time so far: 4.3 s
43.0 % 2.9e+03 s Elapsed time so far: 4.3 s
43.2 % 2.9e+03 s Elapsed time so far: 4.3 s
43.4 % 2.9e+03 s Elapsed time so far: 4.3 s
43.5 % 2.9e+03 s Elapsed time so far: 4.4 s
43.6 % 2.9e+03 s Elapsed time so far: 4.4 s
43.8 % 2.9e+03 s Elapsed time so far: 4.4 s
43.9 % 2.9e+03 s Elapsed time so far: 4.4 s
44.1 % 3.0e+03 s Elapsed time so far: 4.4 s
44.2 % 3.0e+03 s Elapsed time so far: 4.4 s
44.4 % 3.0e+03 s Elapsed time so far: 4.4 s
44.5 % 3.0e+03 s Elapsed time so far: 4.4 s
44.7 % 3.0e+03 s Elapsed time so far: 4.4 s
44.8 % 3.0e+03 s Elapsed time so far: 4.4 s
45.0 % 3.0e+03 s Elapsed time so far: 4.4 s
45.1 % 3.0e+03 s Elapsed time so far: 4.4 s
45.3 % 3.0e+03 s Elapsed time so far: 4.5 s
45.4 % 3.0e+03 s Elapsed time so far: 4.5 s
45.6 % 3.1e+03 s Elapsed time so far: 4.5 s
45.7 % 3.1e+03 s Elapsed time so far: 4.5 s
45.9 % 3.1e+03 s Elapsed time so far: 4.5 s
46.0 % 3.1e+03 s Elapsed time so far: 4.5 s
46.1 % 3.1e+03 s Elapsed time so far: 4.5 s
46.3 % 3.1e+03 s Elapsed time so far: 4.5 s
46.5 % 3.1e+03 s Elapsed time so far: 4.6 s
46.6 % 3.1e+03 s Elapsed time so far: 4.6 s
46.8 % 3.1e+03 s Elapsed time so far: 4.6 s
46.9 % 3.1e+03 s Elapsed time so far: 4.6 s
47.0 % 3.2e+03 s Elapsed time so far: 4.6 s
47.2 % 3.2e+03 s Elapsed time so far: 4.6 s
47.4 % 3.2e+03 s Elapsed time so far: 4.6 s
47.5 % 3.2e+03 s Elapsed time so far: 4.6 s
47.6 % 3.2e+03 s Elapsed time so far: 4.7 s
47.8 % 3.2e+03 s Elapsed time so far: 4.7 s
47.9 % 3.2e+03 s Elapsed time so far: 4.7 s
48.1 % 3.2e+03 s Elapsed time so far: 4.7 s
48.2 % 3.2e+03 s Elapsed time so far: 4.7 s
48.4 % 3.2e+03 s Elapsed time so far: 4.7 s
48.5 % 3.3e+03 s Elapsed time so far: 4.7 s
48.7 % 3.3e+03 s Elapsed time so far: 4.7 s
48.8 % 3.3e+03 s Elapsed time so far: 4.7 s
49.0 % 3.3e+03 s Elapsed time so far: 4.8 s
49.1 % 3.3e+03 s Elapsed time so far: 4.8 s
49.3 % 3.3e+03 s Elapsed time so far: 4.8 s
49.4 % 3.3e+03 s Elapsed time so far: 4.8 s
49.6 % 3.3e+03 s Elapsed time so far: 4.8 s
49.7 % 3.3e+03 s Elapsed time so far: 4.8 s
49.9 % 3.3e+03 s Elapsed time so far: 4.8 s
50.0 % 3.4e+03 s Elapsed time so far: 4.8 s
50.2 % 3.4e+03 s Elapsed time so far: 4.8 s
50.3 % 3.4e+03 s Elapsed time so far: 4.8 s
50.5 % 3.4e+03 s Elapsed time so far: 4.9 s
50.6 % 3.4e+03 s Elapsed time so far: 4.9 s
50.8 % 3.4e+03 s Elapsed time so far: 4.9 s
50.9 % 3.4e+03 s Elapsed time so far: 4.9 s
51.1 % 3.4e+03 s Elapsed time so far: 4.9 s
51.2 % 3.4e+03 s Elapsed time so far: 4.9 s
51.4 % 3.4e+03 s Elapsed time so far: 4.9 s
51.5 % 3.5e+03 s Elapsed time so far: 4.9 s
51.7 % 3.5e+03 s Elapsed time so far: 4.9 s
51.8 % 3.5e+03 s Elapsed time so far: 4.9 s
52.0 % 3.5e+03 s Elapsed time so far: 5.0 s
52.1 % 3.5e+03 s Elapsed time so far: 5.0 s
52.3 % 3.5e+03 s Elapsed time so far: 5.0 s
52.4 % 3.5e+03 s Elapsed time so far: 5.0 s
52.6 % 3.5e+03 s Elapsed time so far: 5.0 s
52.7 % 3.5e+03 s Elapsed time so far: 5.0 s
52.9 % 3.5e+03 s Elapsed time so far: 5.0 s
53.0 % 3.6e+03 s Elapsed time so far: 5.0 s
53.2 % 3.6e+03 s Elapsed time so far: 5.0 s
53.3 % 3.6e+03 s Elapsed time so far: 5.0 s
53.5 % 3.6e+03 s Elapsed time so far: 5.1 s
53.6 % 3.6e+03 s Elapsed time so far: 5.1 s
53.8 % 3.6e+03 s Elapsed time so far: 5.1 s
53.9 % 3.6e+03 s Elapsed time so far: 5.1 s
54.1 % 3.6e+03 s Elapsed time so far: 5.1 s
54.2 % 3.6e+03 s Elapsed time so far: 5.1 s
54.4 % 3.6e+03 s Elapsed time so far: 5.1 s
54.5 % 3.7e+03 s Elapsed time so far: 5.1 s
54.7 % 3.7e+03 s Elapsed time so far: 5.1 s
54.8 % 3.7e+03 s Elapsed time so far: 5.2 s
55.0 % 3.7e+03 s Elapsed time so far: 5.2 s
55.1 % 3.7e+03 s Elapsed time so far: 5.2 s
55.3 % 3.7e+03 s Elapsed time so far: 5.2 s
55.4 % 3.7e+03 s Elapsed time so far: 5.2 s
55.6 % 3.7e+03 s Elapsed time so far: 5.2 s
55.7 % 3.7e+03 s Elapsed time so far: 5.2 s
55.9 % 3.7e+03 s Elapsed time so far: 5.2 s
56.0 % 3.8e+03 s Elapsed time so far: 5.2 s
56.1 % 3.8e+03 s Elapsed time so far: 5.2 s
56.3 % 3.8e+03 s Elapsed time so far: 5.2 s
56.5 % 3.8e+03 s Elapsed time so far: 5.3 s
56.6 % 3.8e+03 s Elapsed time so far: 5.3 s
56.8 % 3.8e+03 s Elapsed time so far: 5.3 s
56.9 % 3.8e+03 s Elapsed time so far: 5.3 s
57.0 % 3.8e+03 s Elapsed time so far: 5.3 s
57.2 % 3.8e+03 s Elapsed time so far: 5.3 s
57.4 % 3.8e+03 s Elapsed time so far: 5.3 s
57.5 % 3.9e+03 s Elapsed time so far: 5.3 s
57.6 % 3.9e+03 s Elapsed time so far: 5.3 s
57.8 % 3.9e+03 s Elapsed time so far: 5.4 s
57.9 % 3.9e+03 s Elapsed time so far: 5.4 s
58.1 % 3.9e+03 s Elapsed time so far: 5.4 s
58.2 % 3.9e+03 s Elapsed time so far: 5.4 s
58.4 % 3.9e+03 s Elapsed time so far: 5.4 s
58.5 % 3.9e+03 s Elapsed time so far: 5.4 s
58.7 % 3.9e+03 s Elapsed time so far: 5.4 s
58.8 % 3.9e+03 s Elapsed time so far: 5.4 s
59.0 % 4.0e+03 s Elapsed time so far: 5.4 s
59.1 % 4.0e+03 s Elapsed time so far: 5.4 s
59.3 % 4.0e+03 s Elapsed time so far: 5.5 s
59.4 % 4.0e+03 s Elapsed time so far: 5.5 s
59.6 % 4.0e+03 s Elapsed time so far: 5.5 s
59.7 % 4.0e+03 s Elapsed time so far: 5.5 s
59.9 % 4.0e+03 s Elapsed time so far: 5.5 s
60.0 % 4.0e+03 s Elapsed time so far: 5.5 s
60.2 % 4.0e+03 s Elapsed time so far: 5.5 s
60.3 % 4.0e+03 s Elapsed time so far: 5.5 s
60.5 % 4.1e+03 s Elapsed time so far: 5.5 s
60.6 % 4.1e+03 s Elapsed time so far: 5.5 s
60.8 % 4.1e+03 s Elapsed time so far: 5.6 s
60.9 % 4.1e+03 s Elapsed time so far: 5.6 s
61.1 % 4.1e+03 s Elapsed time so far: 5.6 s
61.2 % 4.1e+03 s Elapsed time so far: 5.6 s
61.4 % 4.1e+03 s Elapsed time so far: 5.6 s
61.5 % 4.1e+03 s Elapsed time so far: 5.6 s
61.7 % 4.1e+03 s Elapsed time so far: 5.6 s
61.8 % 4.1e+03 s Elapsed time so far: 5.6 s
62.0 % 4.2e+03 s Elapsed time so far: 5.6 s
62.1 % 4.2e+03 s Elapsed time so far: 5.6 s
62.3 % 4.2e+03 s Elapsed time so far: 5.7 s
62.4 % 4.2e+03 s Elapsed time so far: 5.7 s
62.6 % 4.2e+03 s Elapsed time so far: 5.7 s
62.7 % 4.2e+03 s Elapsed time so far: 5.7 s
62.9 % 4.2e+03 s Elapsed time so far: 5.7 s
63.0 % 4.2e+03 s Elapsed time so far: 5.7 s
63.2 % 4.2e+03 s Elapsed time so far: 5.7 s
63.3 % 4.2e+03 s Elapsed time so far: 5.7 s
63.5 % 4.3e+03 s Elapsed time so far: 5.7 s
63.6 % 4.3e+03 s Elapsed time so far: 5.7 s
63.8 % 4.3e+03 s Elapsed time so far: 5.8 s
63.9 % 4.3e+03 s Elapsed time so far: 5.8 s
64.1 % 4.3e+03 s Elapsed time so far: 5.8 s
64.2 % 4.3e+03 s Elapsed time so far: 5.8 s
64.4 % 4.3e+03 s Elapsed time so far: 5.8 s
64.5 % 4.3e+03 s Elapsed time so far: 5.8 s
64.7 % 4.3e+03 s Elapsed time so far: 5.8 s
64.8 % 4.3e+03 s Elapsed time so far: 5.8 s
65.0 % 4.4e+03 s Elapsed time so far: 5.8 s
65.1 % 4.4e+03 s Elapsed time so far: 5.8 s
65.3 % 4.4e+03 s Elapsed time so far: 5.9 s
65.4 % 4.4e+03 s Elapsed time so far: 5.9 s
65.6 % 4.4e+03 s Elapsed time so far: 5.9 s
65.7 % 4.4e+03 s Elapsed time so far: 5.9 s
65.8 % 4.4e+03 s Elapsed time so far: 5.9 s
66.0 % 4.4e+03 s Elapsed time so far: 5.9 s
66.2 % 4.4e+03 s Elapsed time so far: 5.9 s
66.3 % 4.4e+03 s Elapsed time so far: 5.9 s
66.5 % 4.5e+03 s Elapsed time so far: 5.9 s
66.6 % 4.5e+03 s Elapsed time so far: 5.9 s
66.8 % 4.5e+03 s Elapsed time so far: 6.0 s
66.9 % 4.5e+03 s Elapsed time so far: 6.0 s
67.0 % 4.5e+03 s Elapsed time so far: 6.0 s
67.2 % 4.5e+03 s Elapsed time so far: 6.0 s
67.3 % 4.5e+03 s Elapsed time so far: 6.0 s
67.5 % 4.5e+03 s Elapsed time so far: 6.0 s
67.7 % 4.5e+03 s Elapsed time so far: 6.0 s
67.8 % 4.5e+03 s Elapsed time so far: 6.0 s
67.9 % 4.6e+03 s Elapsed time so far: 6.0 s
68.1 % 4.6e+03 s Elapsed time so far: 6.0 s
68.2 % 4.6e+03 s Elapsed time so far: 6.1 s
68.4 % 4.6e+03 s Elapsed time so far: 6.1 s
68.5 % 4.6e+03 s Elapsed time so far: 6.1 s
68.7 % 4.6e+03 s Elapsed time so far: 6.1 s
68.8 % 4.6e+03 s Elapsed time so far: 6.1 s
69.0 % 4.6e+03 s Elapsed time so far: 6.1 s
69.1 % 4.6e+03 s Elapsed time so far: 6.1 s
69.3 % 4.6e+03 s Elapsed time so far: 6.1 s
69.4 % 4.7e+03 s Elapsed time so far: 6.1 s
69.6 % 4.7e+03 s Elapsed time so far: 6.1 s
69.7 % 4.7e+03 s Elapsed time so far: 6.2 s
69.9 % 4.7e+03 s Elapsed time so far: 6.2 s
70.0 % 4.7e+03 s Elapsed time so far: 6.2 s
70.2 % 4.7e+03 s Elapsed time so far: 6.2 s
70.3 % 4.7e+03 s Elapsed time so far: 6.2 s
70.5 % 4.7e+03 s Elapsed time so far: 6.2 s
70.6 % 4.7e+03 s Elapsed time so far: 6.2 s
70.8 % 4.7e+03 s Elapsed time so far: 6.2 s
70.9 % 4.8e+03 s Elapsed time so far: 6.2 s
71.1 % 4.8e+03 s Elapsed time so far: 6.2 s
71.2 % 4.8e+03 s Elapsed time so far: 6.3 s
71.4 % 4.8e+03 s Elapsed time so far: 6.3 s
71.5 % 4.8e+03 s Elapsed time so far: 6.3 s
71.7 % 4.8e+03 s Elapsed time so far: 6.3 s
71.8 % 4.8e+03 s Elapsed time so far: 6.3 s
72.0 % 4.8e+03 s Elapsed time so far: 6.3 s
72.1 % 4.8e+03 s Elapsed time so far: 6.3 s
72.3 % 4.8e+03 s Elapsed time so far: 6.3 s
72.4 % 4.9e+03 s Elapsed time so far: 6.3 s
72.6 % 4.9e+03 s Elapsed time so far: 6.4 s
72.7 % 4.9e+03 s Elapsed time so far: 6.4 s
72.9 % 4.9e+03 s Elapsed time so far: 6.4 s
73.0 % 4.9e+03 s Elapsed time so far: 6.4 s
73.2 % 4.9e+03 s Elapsed time so far: 6.4 s
73.3 % 4.9e+03 s Elapsed time so far: 6.4 s
73.5 % 4.9e+03 s Elapsed time so far: 6.4 s
73.6 % 4.9e+03 s Elapsed time so far: 6.4 s
73.8 % 4.9e+03 s Elapsed time so far: 6.4 s
73.9 % 5.0e+03 s Elapsed time so far: 6.4 s
74.1 % 5.0e+03 s Elapsed time so far: 6.5 s
74.2 % 5.0e+03 s Elapsed time so far: 6.5 s
74.4 % 5.0e+03 s Elapsed time so far: 6.5 s
74.5 % 5.0e+03 s Elapsed time so far: 6.5 s
74.7 % 5.0e+03 s Elapsed time so far: 6.5 s
74.8 % 5.0e+03 s Elapsed time so far: 6.5 s
75.0 % 5.0e+03 s Elapsed time so far: 6.5 s
75.1 % 5.0e+03 s Elapsed time so far: 6.5 s
75.3 % 5.0e+03 s Elapsed time so far: 6.5 s
75.4 % 5.1e+03 s Elapsed time so far: 6.5 s
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77.0 % 5.2e+03 s Elapsed time so far: 6.7 s
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78.1 % 5.2e+03 s Elapsed time so far: 6.7 s
78.2 % 5.2e+03 s Elapsed time so far: 6.7 s
78.4 % 5.3e+03 s Elapsed time so far: 6.7 s
78.5 % 5.3e+03 s Elapsed time so far: 6.8 s
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78.8 % 5.3e+03 s Elapsed time so far: 6.8 s
79.0 % 5.3e+03 s Elapsed time so far: 6.8 s
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79.6 % 5.3e+03 s Elapsed time so far: 6.8 s
79.7 % 5.3e+03 s Elapsed time so far: 6.8 s
79.9 % 5.4e+03 s Elapsed time so far: 6.8 s
80.0 % 5.4e+03 s Elapsed time so far: 6.9 s
80.2 % 5.4e+03 s Elapsed time so far: 6.9 s
80.3 % 5.4e+03 s Elapsed time so far: 6.9 s
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80.6 % 5.4e+03 s Elapsed time so far: 6.9 s
80.8 % 5.4e+03 s Elapsed time so far: 6.9 s
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81.2 % 5.4e+03 s Elapsed time so far: 6.9 s
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81.5 % 5.5e+03 s Elapsed time so far: 7.0 s
81.7 % 5.5e+03 s Elapsed time so far: 7.0 s
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82.0 % 5.5e+03 s Elapsed time so far: 7.0 s
82.1 % 5.5e+03 s Elapsed time so far: 7.0 s
82.3 % 5.5e+03 s Elapsed time so far: 7.0 s
82.4 % 5.5e+03 s Elapsed time so far: 7.0 s
82.6 % 5.5e+03 s Elapsed time so far: 7.0 s
82.7 % 5.5e+03 s Elapsed time so far: 7.0 s
82.9 % 5.6e+03 s Elapsed time so far: 7.0 s
83.0 % 5.6e+03 s Elapsed time so far: 7.1 s
83.2 % 5.6e+03 s Elapsed time so far: 7.1 s
83.3 % 5.6e+03 s Elapsed time so far: 7.1 s
83.5 % 5.6e+03 s Elapsed time so far: 7.1 s
83.6 % 5.6e+03 s Elapsed time so far: 7.1 s
83.8 % 5.6e+03 s Elapsed time so far: 7.1 s
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84.1 % 5.6e+03 s Elapsed time so far: 7.1 s
84.2 % 5.6e+03 s Elapsed time so far: 7.1 s
84.4 % 5.7e+03 s Elapsed time so far: 7.1 s
84.5 % 5.7e+03 s Elapsed time so far: 7.2 s
84.7 % 5.7e+03 s Elapsed time so far: 7.2 s
84.8 % 5.7e+03 s Elapsed time so far: 7.2 s
85.0 % 5.7e+03 s Elapsed time so far: 7.2 s
85.1 % 5.7e+03 s Elapsed time so far: 7.2 s
85.3 % 5.7e+03 s Elapsed time so far: 7.2 s
85.4 % 5.7e+03 s Elapsed time so far: 7.2 s
85.6 % 5.7e+03 s Elapsed time so far: 7.2 s
85.7 % 5.7e+03 s Elapsed time so far: 7.2 s
85.8 % 5.8e+03 s Elapsed time so far: 7.2 s
86.0 % 5.8e+03 s Elapsed time so far: 7.3 s
86.2 % 5.8e+03 s Elapsed time so far: 7.3 s
86.3 % 5.8e+03 s Elapsed time so far: 7.3 s
86.5 % 5.8e+03 s Elapsed time so far: 7.3 s
86.6 % 5.8e+03 s Elapsed time so far: 7.3 s
86.8 % 5.8e+03 s Elapsed time so far: 7.3 s
86.9 % 5.8e+03 s Elapsed time so far: 7.3 s
87.0 % 5.8e+03 s Elapsed time so far: 7.3 s
87.2 % 5.8e+03 s Elapsed time so far: 7.3 s
87.3 % 5.9e+03 s Elapsed time so far: 7.3 s
87.5 % 5.9e+03 s Elapsed time so far: 7.4 s
87.7 % 5.9e+03 s Elapsed time so far: 7.4 s
87.8 % 5.9e+03 s Elapsed time so far: 7.4 s
87.9 % 5.9e+03 s Elapsed time so far: 7.4 s
88.1 % 5.9e+03 s Elapsed time so far: 7.4 s
88.2 % 5.9e+03 s Elapsed time so far: 7.4 s
88.4 % 5.9e+03 s Elapsed time so far: 7.4 s
88.5 % 5.9e+03 s Elapsed time so far: 7.4 s
88.7 % 5.9e+03 s Elapsed time so far: 7.4 s
88.8 % 6.0e+03 s Elapsed time so far: 7.4 s
89.0 % 6.0e+03 s Elapsed time so far: 7.5 s
89.1 % 6.0e+03 s Elapsed time so far: 7.5 s
89.3 % 6.0e+03 s Elapsed time so far: 7.5 s
89.4 % 6.0e+03 s Elapsed time so far: 7.5 s
89.6 % 6.0e+03 s Elapsed time so far: 7.5 s
89.7 % 6.0e+03 s Elapsed time so far: 7.5 s
89.9 % 6.0e+03 s Elapsed time so far: 7.5 s
90.0 % 6.0e+03 s Elapsed time so far: 7.5 s
90.2 % 6.0e+03 s Elapsed time so far: 7.5 s
90.3 % 6.1e+03 s Elapsed time so far: 7.6 s
90.5 % 6.1e+03 s Elapsed time so far: 7.6 s
90.6 % 6.1e+03 s Elapsed time so far: 7.6 s
90.8 % 6.1e+03 s Elapsed time so far: 7.6 s
90.9 % 6.1e+03 s Elapsed time so far: 7.6 s
91.1 % 6.1e+03 s Elapsed time so far: 7.6 s
91.2 % 6.1e+03 s Elapsed time so far: 7.6 s
91.4 % 6.1e+03 s Elapsed time so far: 7.6 s
91.5 % 6.1e+03 s Elapsed time so far: 7.6 s
91.7 % 6.1e+03 s Elapsed time so far: 7.6 s
91.8 % 6.2e+03 s Elapsed time so far: 7.6 s
92.0 % 6.2e+03 s Elapsed time so far: 7.7 s
92.1 % 6.2e+03 s Elapsed time so far: 7.7 s
92.3 % 6.2e+03 s Elapsed time so far: 7.7 s
92.4 % 6.2e+03 s Elapsed time so far: 7.7 s
92.6 % 6.2e+03 s Elapsed time so far: 7.7 s
92.7 % 6.2e+03 s Elapsed time so far: 7.7 s
92.9 % 6.2e+03 s Elapsed time so far: 7.7 s
93.0 % 6.2e+03 s Elapsed time so far: 7.7 s
93.2 % 6.2e+03 s Elapsed time so far: 7.7 s
93.3 % 6.3e+03 s Elapsed time so far: 7.8 s
93.5 % 6.3e+03 s Elapsed time so far: 7.8 s
93.6 % 6.3e+03 s Elapsed time so far: 7.8 s
93.8 % 6.3e+03 s Elapsed time so far: 7.8 s
93.9 % 6.3e+03 s Elapsed time so far: 7.8 s
94.1 % 6.3e+03 s Elapsed time so far: 7.8 s
94.2 % 6.3e+03 s Elapsed time so far: 7.8 s
94.4 % 6.3e+03 s Elapsed time so far: 7.8 s
94.5 % 6.3e+03 s Elapsed time so far: 7.8 s
94.7 % 6.3e+03 s Elapsed time so far: 7.8 s
94.8 % 6.4e+03 s Elapsed time so far: 7.9 s
95.0 % 6.4e+03 s Elapsed time so far: 7.9 s
95.1 % 6.4e+03 s Elapsed time so far: 7.9 s
95.3 % 6.4e+03 s Elapsed time so far: 7.9 s
95.4 % 6.4e+03 s Elapsed time so far: 7.9 s
95.6 % 6.4e+03 s Elapsed time so far: 7.9 s
95.7 % 6.4e+03 s Elapsed time so far: 7.9 s
95.8 % 6.4e+03 s Elapsed time so far: 7.9 s
96.0 % 6.4e+03 s Elapsed time so far: 7.9 s
96.2 % 6.4e+03 s Elapsed time so far: 7.9 s
96.3 % 6.5e+03 s Elapsed time so far: 8.0 s
96.5 % 6.5e+03 s Elapsed time so far: 8.0 s
96.6 % 6.5e+03 s Elapsed time so far: 8.0 s
96.8 % 6.5e+03 s Elapsed time so far: 8.0 s
96.9 % 6.5e+03 s Elapsed time so far: 8.0 s
97.0 % 6.5e+03 s Elapsed time so far: 8.0 s
97.2 % 6.5e+03 s Elapsed time so far: 8.0 s
97.3 % 6.5e+03 s Elapsed time so far: 8.0 s
97.5 % 6.5e+03 s Elapsed time so far: 8.0 s
97.7 % 6.5e+03 s Elapsed time so far: 8.0 s
97.8 % 6.6e+03 s Elapsed time so far: 8.1 s
97.9 % 6.6e+03 s Elapsed time so far: 8.1 s
98.1 % 6.6e+03 s Elapsed time so far: 8.1 s
98.2 % 6.6e+03 s Elapsed time so far: 8.1 s
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99.3 % 6.7e+03 s Elapsed time so far: 15.0 s
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99.4 % 6.7e+03 s Elapsed time so far: 15.1 s
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99.4 % 6.7e+03 s Elapsed time so far: 15.6 s
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Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
Calling FFC just-in-time (JIT) compiler, this may take some time.
Calling FFC just-in-time (JIT) compiler, this may take some time.
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15.3 % 1.0e+03 s Elapsed time so far: 3.1 s
15.4 % 1.0e+03 s Elapsed time so far: 3.1 s
15.6 % 1.0e+03 s Elapsed time so far: 3.1 s
15.7 % 1.1e+03 s Elapsed time so far: 3.1 s
15.9 % 1.1e+03 s Elapsed time so far: 3.1 s
16.0 % 1.1e+03 s Elapsed time so far: 3.1 s
16.2 % 1.1e+03 s Elapsed time so far: 3.1 s
16.3 % 1.1e+03 s Elapsed time so far: 3.1 s
16.5 % 1.1e+03 s Elapsed time so far: 3.1 s
16.6 % 1.1e+03 s Elapsed time so far: 3.1 s
16.8 % 1.1e+03 s Elapsed time so far: 3.2 s
16.9 % 1.1e+03 s Elapsed time so far: 3.2 s
17.1 % 1.1e+03 s Elapsed time so far: 3.2 s
17.2 % 1.2e+03 s Elapsed time so far: 3.2 s
17.4 % 1.2e+03 s Elapsed time so far: 3.2 s
17.5 % 1.2e+03 s Elapsed time so far: 3.2 s
17.7 % 1.2e+03 s Elapsed time so far: 3.2 s
17.8 % 1.2e+03 s Elapsed time so far: 3.2 s
18.0 % 1.2e+03 s Elapsed time so far: 3.2 s
18.1 % 1.2e+03 s Elapsed time so far: 3.2 s
18.3 % 1.2e+03 s Elapsed time so far: 3.2 s
18.4 % 1.2e+03 s Elapsed time so far: 3.2 s
18.6 % 1.2e+03 s Elapsed time so far: 3.2 s
18.7 % 1.3e+03 s Elapsed time so far: 3.2 s
18.9 % 1.3e+03 s Elapsed time so far: 3.2 s
19.0 % 1.3e+03 s Elapsed time so far: 3.2 s
19.2 % 1.3e+03 s Elapsed time so far: 3.3 s
19.3 % 1.3e+03 s Elapsed time so far: 3.3 s
19.5 % 1.3e+03 s Elapsed time so far: 3.3 s
19.6 % 1.3e+03 s Elapsed time so far: 3.3 s
19.8 % 1.3e+03 s Elapsed time so far: 3.3 s
19.9 % 1.3e+03 s Elapsed time so far: 3.3 s
20.1 % 1.3e+03 s Elapsed time so far: 3.3 s
20.2 % 1.4e+03 s Elapsed time so far: 3.3 s
20.4 % 1.4e+03 s Elapsed time so far: 3.3 s
20.5 % 1.4e+03 s Elapsed time so far: 3.3 s
20.7 % 1.4e+03 s Elapsed time so far: 3.3 s
20.8 % 1.4e+03 s Elapsed time so far: 3.3 s
21.0 % 1.4e+03 s Elapsed time so far: 3.3 s
21.1 % 1.4e+03 s Elapsed time so far: 3.3 s
21.3 % 1.4e+03 s Elapsed time so far: 3.4 s
21.4 % 1.4e+03 s Elapsed time so far: 3.4 s
21.6 % 1.4e+03 s Elapsed time so far: 3.4 s
21.7 % 1.5e+03 s Elapsed time so far: 3.4 s
21.9 % 1.5e+03 s Elapsed time so far: 3.4 s
22.0 % 1.5e+03 s Elapsed time so far: 3.4 s
22.1 % 1.5e+03 s Elapsed time so far: 3.4 s
22.3 % 1.5e+03 s Elapsed time so far: 3.4 s
22.4 % 1.5e+03 s Elapsed time so far: 3.4 s
22.6 % 1.5e+03 s Elapsed time so far: 3.4 s
22.8 % 1.5e+03 s Elapsed time so far: 3.4 s
22.9 % 1.5e+03 s Elapsed time so far: 3.4 s
23.1 % 1.5e+03 s Elapsed time so far: 3.4 s
23.2 % 1.6e+03 s Elapsed time so far: 3.4 s
23.4 % 1.6e+03 s Elapsed time so far: 3.4 s
23.5 % 1.6e+03 s Elapsed time so far: 3.5 s
23.6 % 1.6e+03 s Elapsed time so far: 3.5 s
23.8 % 1.6e+03 s Elapsed time so far: 3.5 s
23.9 % 1.6e+03 s Elapsed time so far: 3.5 s
24.1 % 1.6e+03 s Elapsed time so far: 3.5 s
24.2 % 1.6e+03 s Elapsed time so far: 3.5 s
24.4 % 1.6e+03 s Elapsed time so far: 3.5 s
24.5 % 1.6e+03 s Elapsed time so far: 3.5 s
24.7 % 1.7e+03 s Elapsed time so far: 3.5 s
24.8 % 1.7e+03 s Elapsed time so far: 3.5 s
25.0 % 1.7e+03 s Elapsed time so far: 3.5 s
25.1 % 1.7e+03 s Elapsed time so far: 3.5 s
25.3 % 1.7e+03 s Elapsed time so far: 3.5 s
25.4 % 1.7e+03 s Elapsed time so far: 3.5 s
25.6 % 1.7e+03 s Elapsed time so far: 3.5 s
25.7 % 1.7e+03 s Elapsed time so far: 3.6 s
25.9 % 1.7e+03 s Elapsed time so far: 3.6 s
26.0 % 1.7e+03 s Elapsed time so far: 3.6 s
26.2 % 1.8e+03 s Elapsed time so far: 3.6 s
26.3 % 1.8e+03 s Elapsed time so far: 3.6 s
26.5 % 1.8e+03 s Elapsed time so far: 3.6 s
26.6 % 1.8e+03 s Elapsed time so far: 3.6 s
26.8 % 1.8e+03 s Elapsed time so far: 3.6 s
26.9 % 1.8e+03 s Elapsed time so far: 3.6 s
27.1 % 1.8e+03 s Elapsed time so far: 3.6 s
27.2 % 1.8e+03 s Elapsed time so far: 3.6 s
27.4 % 1.8e+03 s Elapsed time so far: 3.6 s
27.5 % 1.8e+03 s Elapsed time so far: 3.6 s
27.7 % 1.9e+03 s Elapsed time so far: 3.6 s
27.8 % 1.9e+03 s Elapsed time so far: 3.6 s
28.0 % 1.9e+03 s Elapsed time so far: 3.7 s
28.1 % 1.9e+03 s Elapsed time so far: 3.7 s
28.3 % 1.9e+03 s Elapsed time so far: 3.7 s
28.4 % 1.9e+03 s Elapsed time so far: 3.7 s
28.6 % 1.9e+03 s Elapsed time so far: 3.7 s
28.7 % 1.9e+03 s Elapsed time so far: 3.7 s
28.9 % 1.9e+03 s Elapsed time so far: 3.7 s
29.0 % 1.9e+03 s Elapsed time so far: 3.7 s
29.2 % 2.0e+03 s Elapsed time so far: 3.7 s
29.3 % 2.0e+03 s Elapsed time so far: 3.7 s
29.5 % 2.0e+03 s Elapsed time so far: 3.7 s
29.6 % 2.0e+03 s Elapsed time so far: 3.7 s
29.8 % 2.0e+03 s Elapsed time so far: 3.7 s
29.9 % 2.0e+03 s Elapsed time so far: 3.7 s
30.1 % 2.0e+03 s Elapsed time so far: 3.7 s
30.2 % 2.0e+03 s Elapsed time so far: 3.8 s
30.4 % 2.0e+03 s Elapsed time so far: 3.8 s
30.5 % 2.0e+03 s Elapsed time so far: 3.8 s
30.7 % 2.1e+03 s Elapsed time so far: 3.8 s
30.8 % 2.1e+03 s Elapsed time so far: 3.8 s
31.0 % 2.1e+03 s Elapsed time so far: 3.8 s
31.1 % 2.1e+03 s Elapsed time so far: 3.8 s
31.3 % 2.1e+03 s Elapsed time so far: 3.8 s
31.4 % 2.1e+03 s Elapsed time so far: 3.8 s
31.6 % 2.1e+03 s Elapsed time so far: 3.8 s
31.7 % 2.1e+03 s Elapsed time so far: 3.8 s
31.9 % 2.1e+03 s Elapsed time so far: 3.8 s
32.0 % 2.1e+03 s Elapsed time so far: 3.8 s
32.1 % 2.2e+03 s Elapsed time so far: 3.8 s
32.3 % 2.2e+03 s Elapsed time so far: 3.8 s
32.5 % 2.2e+03 s Elapsed time so far: 3.9 s
32.6 % 2.2e+03 s Elapsed time so far: 3.9 s
32.8 % 2.2e+03 s Elapsed time so far: 3.9 s
32.9 % 2.2e+03 s Elapsed time so far: 3.9 s
33.0 % 2.2e+03 s Elapsed time so far: 3.9 s
33.2 % 2.2e+03 s Elapsed time so far: 3.9 s
33.4 % 2.2e+03 s Elapsed time so far: 3.9 s
33.5 % 2.2e+03 s Elapsed time so far: 3.9 s
33.6 % 2.3e+03 s Elapsed time so far: 3.9 s
33.8 % 2.3e+03 s Elapsed time so far: 3.9 s
33.9 % 2.3e+03 s Elapsed time so far: 3.9 s
34.1 % 2.3e+03 s Elapsed time so far: 3.9 s
34.2 % 2.3e+03 s Elapsed time so far: 3.9 s
34.4 % 2.3e+03 s Elapsed time so far: 3.9 s
34.5 % 2.3e+03 s Elapsed time so far: 3.9 s
34.7 % 2.3e+03 s Elapsed time so far: 4.0 s
34.8 % 2.3e+03 s Elapsed time so far: 4.0 s
35.0 % 2.3e+03 s Elapsed time so far: 4.0 s
35.1 % 2.4e+03 s Elapsed time so far: 4.0 s
35.3 % 2.4e+03 s Elapsed time so far: 4.0 s
35.4 % 2.4e+03 s Elapsed time so far: 4.0 s
35.6 % 2.4e+03 s Elapsed time so far: 4.0 s
35.7 % 2.4e+03 s Elapsed time so far: 4.0 s
35.9 % 2.4e+03 s Elapsed time so far: 4.0 s
36.0 % 2.4e+03 s Elapsed time so far: 4.0 s
36.2 % 2.4e+03 s Elapsed time so far: 4.0 s
36.3 % 2.4e+03 s Elapsed time so far: 4.0 s
36.5 % 2.4e+03 s Elapsed time so far: 4.0 s
36.6 % 2.5e+03 s Elapsed time so far: 4.0 s
36.8 % 2.5e+03 s Elapsed time so far: 4.0 s
36.9 % 2.5e+03 s Elapsed time so far: 4.0 s
37.1 % 2.5e+03 s Elapsed time so far: 4.0 s
37.2 % 2.5e+03 s Elapsed time so far: 4.1 s
37.4 % 2.5e+03 s Elapsed time so far: 4.1 s
37.5 % 2.5e+03 s Elapsed time so far: 4.1 s
37.7 % 2.5e+03 s Elapsed time so far: 4.1 s
37.8 % 2.5e+03 s Elapsed time so far: 4.1 s
38.0 % 2.5e+03 s Elapsed time so far: 4.1 s
38.1 % 2.6e+03 s Elapsed time so far: 4.1 s
38.3 % 2.6e+03 s Elapsed time so far: 4.1 s
38.4 % 2.6e+03 s Elapsed time so far: 4.1 s
38.6 % 2.6e+03 s Elapsed time so far: 4.1 s
38.7 % 2.6e+03 s Elapsed time so far: 4.1 s
38.9 % 2.6e+03 s Elapsed time so far: 4.1 s
39.0 % 2.6e+03 s Elapsed time so far: 4.1 s
39.2 % 2.6e+03 s Elapsed time so far: 4.1 s
39.3 % 2.6e+03 s Elapsed time so far: 4.2 s
39.5 % 2.6e+03 s Elapsed time so far: 4.2 s
39.6 % 2.7e+03 s Elapsed time so far: 4.2 s
39.8 % 2.7e+03 s Elapsed time so far: 4.2 s
39.9 % 2.7e+03 s Elapsed time so far: 4.2 s
40.1 % 2.7e+03 s Elapsed time so far: 4.2 s
40.2 % 2.7e+03 s Elapsed time so far: 4.2 s
40.4 % 2.7e+03 s Elapsed time so far: 4.2 s
40.5 % 2.7e+03 s Elapsed time so far: 4.2 s
40.7 % 2.7e+03 s Elapsed time so far: 4.2 s
40.8 % 2.7e+03 s Elapsed time so far: 4.2 s
41.0 % 2.7e+03 s Elapsed time so far: 4.2 s
41.1 % 2.8e+03 s Elapsed time so far: 4.2 s
41.3 % 2.8e+03 s Elapsed time so far: 4.2 s
41.4 % 2.8e+03 s Elapsed time so far: 4.2 s
41.6 % 2.8e+03 s Elapsed time so far: 4.2 s
41.7 % 2.8e+03 s Elapsed time so far: 4.3 s
41.9 % 2.8e+03 s Elapsed time so far: 4.3 s
42.0 % 2.8e+03 s Elapsed time so far: 4.3 s
42.1 % 2.8e+03 s Elapsed time so far: 4.3 s
42.3 % 2.8e+03 s Elapsed time so far: 4.3 s
42.5 % 2.8e+03 s Elapsed time so far: 4.3 s
42.6 % 2.9e+03 s Elapsed time so far: 4.3 s
42.8 % 2.9e+03 s Elapsed time so far: 4.3 s
42.9 % 2.9e+03 s Elapsed time so far: 4.3 s
43.0 % 2.9e+03 s Elapsed time so far: 4.3 s
43.2 % 2.9e+03 s Elapsed time so far: 4.3 s
43.4 % 2.9e+03 s Elapsed time so far: 4.3 s
43.5 % 2.9e+03 s Elapsed time so far: 4.3 s
43.6 % 2.9e+03 s Elapsed time so far: 4.3 s
43.8 % 2.9e+03 s Elapsed time so far: 4.4 s
43.9 % 2.9e+03 s Elapsed time so far: 4.4 s
44.1 % 3.0e+03 s Elapsed time so far: 4.4 s
44.2 % 3.0e+03 s Elapsed time so far: 4.4 s
44.4 % 3.0e+03 s Elapsed time so far: 4.4 s
44.5 % 3.0e+03 s Elapsed time so far: 4.4 s
44.7 % 3.0e+03 s Elapsed time so far: 4.4 s
44.8 % 3.0e+03 s Elapsed time so far: 4.4 s
45.0 % 3.0e+03 s Elapsed time so far: 4.4 s
45.1 % 3.0e+03 s Elapsed time so far: 4.4 s
45.3 % 3.0e+03 s Elapsed time so far: 4.5 s
45.4 % 3.0e+03 s Elapsed time so far: 4.5 s
45.6 % 3.1e+03 s Elapsed time so far: 4.5 s
45.7 % 3.1e+03 s Elapsed time so far: 4.5 s
45.9 % 3.1e+03 s Elapsed time so far: 4.5 s
46.0 % 3.1e+03 s Elapsed time so far: 4.5 s
46.1 % 3.1e+03 s Elapsed time so far: 4.5 s
46.3 % 3.1e+03 s Elapsed time so far: 4.5 s
46.5 % 3.1e+03 s Elapsed time so far: 4.5 s
46.6 % 3.1e+03 s Elapsed time so far: 4.6 s
46.8 % 3.1e+03 s Elapsed time so far: 4.6 s
46.9 % 3.1e+03 s Elapsed time so far: 4.6 s
47.0 % 3.2e+03 s Elapsed time so far: 4.6 s
47.2 % 3.2e+03 s Elapsed time so far: 4.6 s
47.4 % 3.2e+03 s Elapsed time so far: 4.6 s
47.5 % 3.2e+03 s Elapsed time so far: 4.6 s
47.6 % 3.2e+03 s Elapsed time so far: 4.6 s
47.8 % 3.2e+03 s Elapsed time so far: 4.6 s
47.9 % 3.2e+03 s Elapsed time so far: 4.7 s
48.1 % 3.2e+03 s Elapsed time so far: 4.7 s
48.2 % 3.2e+03 s Elapsed time so far: 4.7 s
48.4 % 3.2e+03 s Elapsed time so far: 4.7 s
48.5 % 3.3e+03 s Elapsed time so far: 4.7 s
48.7 % 3.3e+03 s Elapsed time so far: 4.7 s
48.8 % 3.3e+03 s Elapsed time so far: 4.7 s
49.0 % 3.3e+03 s Elapsed time so far: 4.7 s
49.1 % 3.3e+03 s Elapsed time so far: 4.8 s
49.3 % 3.3e+03 s Elapsed time so far: 4.8 s
49.4 % 3.3e+03 s Elapsed time so far: 4.8 s
49.6 % 3.3e+03 s Elapsed time so far: 4.8 s
49.7 % 3.3e+03 s Elapsed time so far: 4.8 s
49.9 % 3.3e+03 s Elapsed time so far: 4.8 s
50.0 % 3.4e+03 s Elapsed time so far: 4.8 s
50.2 % 3.4e+03 s Elapsed time so far: 4.8 s
50.3 % 3.4e+03 s Elapsed time so far: 4.8 s
50.5 % 3.4e+03 s Elapsed time so far: 4.8 s
50.6 % 3.4e+03 s Elapsed time so far: 4.9 s
50.8 % 3.4e+03 s Elapsed time so far: 4.9 s
50.9 % 3.4e+03 s Elapsed time so far: 4.9 s
51.1 % 3.4e+03 s Elapsed time so far: 4.9 s
51.2 % 3.4e+03 s Elapsed time so far: 4.9 s
51.4 % 3.4e+03 s Elapsed time so far: 4.9 s
51.5 % 3.5e+03 s Elapsed time so far: 4.9 s
51.7 % 3.5e+03 s Elapsed time so far: 4.9 s
51.8 % 3.5e+03 s Elapsed time so far: 4.9 s
52.0 % 3.5e+03 s Elapsed time so far: 4.9 s
52.1 % 3.5e+03 s Elapsed time so far: 5.0 s
52.3 % 3.5e+03 s Elapsed time so far: 5.0 s
52.4 % 3.5e+03 s Elapsed time so far: 5.0 s
52.6 % 3.5e+03 s Elapsed time so far: 5.0 s
52.7 % 3.5e+03 s Elapsed time so far: 5.0 s
52.9 % 3.5e+03 s Elapsed time so far: 5.0 s
53.0 % 3.6e+03 s Elapsed time so far: 5.0 s
53.2 % 3.6e+03 s Elapsed time so far: 5.0 s
53.3 % 3.6e+03 s Elapsed time so far: 5.0 s
53.5 % 3.6e+03 s Elapsed time so far: 5.0 s
53.6 % 3.6e+03 s Elapsed time so far: 5.1 s
53.8 % 3.6e+03 s Elapsed time so far: 5.1 s
53.9 % 3.6e+03 s Elapsed time so far: 5.1 s
54.1 % 3.6e+03 s Elapsed time so far: 5.1 s
54.2 % 3.6e+03 s Elapsed time so far: 5.1 s
54.4 % 3.6e+03 s Elapsed time so far: 5.1 s
54.5 % 3.7e+03 s Elapsed time so far: 5.1 s
54.7 % 3.7e+03 s Elapsed time so far: 5.1 s
54.8 % 3.7e+03 s Elapsed time so far: 5.1 s
55.0 % 3.7e+03 s Elapsed time so far: 5.1 s
55.1 % 3.7e+03 s Elapsed time so far: 5.2 s
55.3 % 3.7e+03 s Elapsed time so far: 5.2 s
55.4 % 3.7e+03 s Elapsed time so far: 5.2 s
55.6 % 3.7e+03 s Elapsed time so far: 5.2 s
55.7 % 3.7e+03 s Elapsed time so far: 5.2 s
55.9 % 3.7e+03 s Elapsed time so far: 5.2 s
56.0 % 3.8e+03 s Elapsed time so far: 5.2 s
56.1 % 3.8e+03 s Elapsed time so far: 5.2 s
56.3 % 3.8e+03 s Elapsed time so far: 5.2 s
56.5 % 3.8e+03 s Elapsed time so far: 5.2 s
56.6 % 3.8e+03 s Elapsed time so far: 5.2 s
56.8 % 3.8e+03 s Elapsed time so far: 5.3 s
56.9 % 3.8e+03 s Elapsed time so far: 5.3 s
57.0 % 3.8e+03 s Elapsed time so far: 5.3 s
57.2 % 3.8e+03 s Elapsed time so far: 5.3 s
57.4 % 3.8e+03 s Elapsed time so far: 5.3 s
57.5 % 3.9e+03 s Elapsed time so far: 5.3 s
57.6 % 3.9e+03 s Elapsed time so far: 5.3 s
57.8 % 3.9e+03 s Elapsed time so far: 5.3 s
57.9 % 3.9e+03 s Elapsed time so far: 5.3 s
58.1 % 3.9e+03 s Elapsed time so far: 5.4 s
58.2 % 3.9e+03 s Elapsed time so far: 5.4 s
58.4 % 3.9e+03 s Elapsed time so far: 5.4 s
58.5 % 3.9e+03 s Elapsed time so far: 5.4 s
58.7 % 3.9e+03 s Elapsed time so far: 5.4 s
58.8 % 3.9e+03 s Elapsed time so far: 5.4 s
59.0 % 4.0e+03 s Elapsed time so far: 5.4 s
59.1 % 4.0e+03 s Elapsed time so far: 5.4 s
59.3 % 4.0e+03 s Elapsed time so far: 5.4 s
59.4 % 4.0e+03 s Elapsed time so far: 5.4 s
59.6 % 4.0e+03 s Elapsed time so far: 5.5 s
59.7 % 4.0e+03 s Elapsed time so far: 5.5 s
59.9 % 4.0e+03 s Elapsed time so far: 5.5 s
60.0 % 4.0e+03 s Elapsed time so far: 5.5 s
60.2 % 4.0e+03 s Elapsed time so far: 5.5 s
60.3 % 4.0e+03 s Elapsed time so far: 5.5 s
60.5 % 4.1e+03 s Elapsed time so far: 5.5 s
60.6 % 4.1e+03 s Elapsed time so far: 5.5 s
60.8 % 4.1e+03 s Elapsed time so far: 5.5 s
60.9 % 4.1e+03 s Elapsed time so far: 5.5 s
61.1 % 4.1e+03 s Elapsed time so far: 5.6 s
61.2 % 4.1e+03 s Elapsed time so far: 5.6 s
61.4 % 4.1e+03 s Elapsed time so far: 5.6 s
61.5 % 4.1e+03 s Elapsed time so far: 5.6 s
61.7 % 4.1e+03 s Elapsed time so far: 5.6 s
61.8 % 4.1e+03 s Elapsed time so far: 5.6 s
62.0 % 4.2e+03 s Elapsed time so far: 5.6 s
62.1 % 4.2e+03 s Elapsed time so far: 5.6 s
62.3 % 4.2e+03 s Elapsed time so far: 5.6 s
62.4 % 4.2e+03 s Elapsed time so far: 5.6 s
62.6 % 4.2e+03 s Elapsed time so far: 5.7 s
62.7 % 4.2e+03 s Elapsed time so far: 5.7 s
62.9 % 4.2e+03 s Elapsed time so far: 5.7 s
63.0 % 4.2e+03 s Elapsed time so far: 5.7 s
63.2 % 4.2e+03 s Elapsed time so far: 5.7 s
63.3 % 4.2e+03 s Elapsed time so far: 5.7 s
63.5 % 4.3e+03 s Elapsed time so far: 5.7 s
63.6 % 4.3e+03 s Elapsed time so far: 5.7 s
63.8 % 4.3e+03 s Elapsed time so far: 5.7 s
63.9 % 4.3e+03 s Elapsed time so far: 5.7 s
64.1 % 4.3e+03 s Elapsed time so far: 5.8 s
64.2 % 4.3e+03 s Elapsed time so far: 5.8 s
64.4 % 4.3e+03 s Elapsed time so far: 5.8 s
64.5 % 4.3e+03 s Elapsed time so far: 5.8 s
64.7 % 4.3e+03 s Elapsed time so far: 5.8 s
64.8 % 4.3e+03 s Elapsed time so far: 5.8 s
65.0 % 4.4e+03 s Elapsed time so far: 5.8 s
65.1 % 4.4e+03 s Elapsed time so far: 5.8 s
65.3 % 4.4e+03 s Elapsed time so far: 5.8 s
65.4 % 4.4e+03 s Elapsed time so far: 5.8 s
65.6 % 4.4e+03 s Elapsed time so far: 5.9 s
65.7 % 4.4e+03 s Elapsed time so far: 5.9 s
65.8 % 4.4e+03 s Elapsed time so far: 5.9 s
66.0 % 4.4e+03 s Elapsed time so far: 5.9 s
66.2 % 4.4e+03 s Elapsed time so far: 5.9 s
66.3 % 4.4e+03 s Elapsed time so far: 5.9 s
66.5 % 4.5e+03 s Elapsed time so far: 5.9 s
66.6 % 4.5e+03 s Elapsed time so far: 5.9 s
66.8 % 4.5e+03 s Elapsed time so far: 5.9 s
66.9 % 4.5e+03 s Elapsed time so far: 5.9 s
67.0 % 4.5e+03 s Elapsed time so far: 6.0 s
67.2 % 4.5e+03 s Elapsed time so far: 6.0 s
67.3 % 4.5e+03 s Elapsed time so far: 6.0 s
67.5 % 4.5e+03 s Elapsed time so far: 6.0 s
67.7 % 4.5e+03 s Elapsed time so far: 6.0 s
67.8 % 4.5e+03 s Elapsed time so far: 6.0 s
67.9 % 4.6e+03 s Elapsed time so far: 6.0 s
68.1 % 4.6e+03 s Elapsed time so far: 6.0 s
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68.5 % 4.6e+03 s Elapsed time so far: 6.1 s
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69.0 % 4.6e+03 s Elapsed time so far: 6.1 s
69.1 % 4.6e+03 s Elapsed time so far: 6.1 s
69.3 % 4.6e+03 s Elapsed time so far: 6.1 s
69.4 % 4.7e+03 s Elapsed time so far: 6.1 s
69.6 % 4.7e+03 s Elapsed time so far: 6.1 s
69.7 % 4.7e+03 s Elapsed time so far: 6.1 s
69.9 % 4.7e+03 s Elapsed time so far: 6.1 s
70.0 % 4.7e+03 s Elapsed time so far: 6.2 s
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70.6 % 4.7e+03 s Elapsed time so far: 6.2 s
70.8 % 4.7e+03 s Elapsed time so far: 6.2 s
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71.1 % 4.8e+03 s Elapsed time so far: 6.2 s
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71.4 % 4.8e+03 s Elapsed time so far: 6.2 s
71.5 % 4.8e+03 s Elapsed time so far: 6.2 s
71.7 % 4.8e+03 s Elapsed time so far: 6.3 s
71.8 % 4.8e+03 s Elapsed time so far: 6.3 s
72.0 % 4.8e+03 s Elapsed time so far: 6.3 s
72.1 % 4.8e+03 s Elapsed time so far: 6.3 s
72.3 % 4.8e+03 s Elapsed time so far: 6.3 s
72.4 % 4.9e+03 s Elapsed time so far: 6.3 s
72.6 % 4.9e+03 s Elapsed time so far: 6.3 s
72.7 % 4.9e+03 s Elapsed time so far: 6.3 s
72.9 % 4.9e+03 s Elapsed time so far: 6.3 s
73.0 % 4.9e+03 s Elapsed time so far: 6.4 s
73.2 % 4.9e+03 s Elapsed time so far: 6.4 s
73.3 % 4.9e+03 s Elapsed time so far: 6.4 s
73.5 % 4.9e+03 s Elapsed time so far: 6.4 s
73.6 % 4.9e+03 s Elapsed time so far: 6.4 s
73.8 % 4.9e+03 s Elapsed time so far: 6.4 s
73.9 % 5.0e+03 s Elapsed time so far: 6.4 s
74.1 % 5.0e+03 s Elapsed time so far: 6.4 s
74.2 % 5.0e+03 s Elapsed time so far: 6.4 s
74.4 % 5.0e+03 s Elapsed time so far: 6.5 s
74.5 % 5.0e+03 s Elapsed time so far: 6.5 s
74.7 % 5.0e+03 s Elapsed time so far: 6.5 s
74.8 % 5.0e+03 s Elapsed time so far: 6.5 s
75.0 % 5.0e+03 s Elapsed time so far: 6.5 s
75.1 % 5.0e+03 s Elapsed time so far: 6.5 s
75.3 % 5.0e+03 s Elapsed time so far: 6.5 s
75.4 % 5.1e+03 s Elapsed time so far: 6.5 s
75.6 % 5.1e+03 s Elapsed time so far: 6.5 s
75.7 % 5.1e+03 s Elapsed time so far: 6.5 s
75.8 % 5.1e+03 s Elapsed time so far: 6.5 s
76.0 % 5.1e+03 s Elapsed time so far: 6.6 s
76.2 % 5.1e+03 s Elapsed time so far: 6.6 s
76.3 % 5.1e+03 s Elapsed time so far: 6.6 s
76.5 % 5.1e+03 s Elapsed time so far: 6.6 s
76.6 % 5.1e+03 s Elapsed time so far: 6.6 s
76.8 % 5.1e+03 s Elapsed time so far: 6.6 s
76.9 % 5.2e+03 s Elapsed time so far: 6.6 s
77.0 % 5.2e+03 s Elapsed time so far: 6.6 s
77.2 % 5.2e+03 s Elapsed time so far: 6.6 s
77.3 % 5.2e+03 s Elapsed time so far: 6.6 s
77.5 % 5.2e+03 s Elapsed time so far: 6.7 s
77.7 % 5.2e+03 s Elapsed time so far: 6.7 s
77.8 % 5.2e+03 s Elapsed time so far: 6.7 s
77.9 % 5.2e+03 s Elapsed time so far: 6.7 s
78.1 % 5.2e+03 s Elapsed time so far: 6.7 s
78.2 % 5.2e+03 s Elapsed time so far: 6.7 s
78.4 % 5.3e+03 s Elapsed time so far: 6.7 s
78.5 % 5.3e+03 s Elapsed time so far: 6.7 s
78.7 % 5.3e+03 s Elapsed time so far: 6.7 s
78.8 % 5.3e+03 s Elapsed time so far: 6.7 s
79.0 % 5.3e+03 s Elapsed time so far: 6.8 s
79.1 % 5.3e+03 s Elapsed time so far: 6.8 s
79.3 % 5.3e+03 s Elapsed time so far: 6.8 s
79.4 % 5.3e+03 s Elapsed time so far: 6.8 s
79.6 % 5.3e+03 s Elapsed time so far: 6.8 s
79.7 % 5.3e+03 s Elapsed time so far: 6.8 s
79.9 % 5.4e+03 s Elapsed time so far: 6.8 s
80.0 % 5.4e+03 s Elapsed time so far: 6.8 s
80.2 % 5.4e+03 s Elapsed time so far: 6.8 s
80.3 % 5.4e+03 s Elapsed time so far: 6.8 s
80.5 % 5.4e+03 s Elapsed time so far: 6.9 s
80.6 % 5.4e+03 s Elapsed time so far: 6.9 s
80.8 % 5.4e+03 s Elapsed time so far: 6.9 s
80.9 % 5.4e+03 s Elapsed time so far: 6.9 s
81.1 % 5.4e+03 s Elapsed time so far: 6.9 s
81.2 % 5.4e+03 s Elapsed time so far: 6.9 s
81.4 % 5.5e+03 s Elapsed time so far: 6.9 s
81.5 % 5.5e+03 s Elapsed time so far: 6.9 s
81.7 % 5.5e+03 s Elapsed time so far: 6.9 s
81.8 % 5.5e+03 s Elapsed time so far: 6.9 s
82.0 % 5.5e+03 s Elapsed time so far: 7.0 s
82.1 % 5.5e+03 s Elapsed time so far: 7.0 s
82.3 % 5.5e+03 s Elapsed time so far: 7.0 s
82.4 % 5.5e+03 s Elapsed time so far: 7.0 s
82.6 % 5.5e+03 s Elapsed time so far: 7.0 s
82.7 % 5.5e+03 s Elapsed time so far: 7.0 s
82.9 % 5.6e+03 s Elapsed time so far: 7.0 s
83.0 % 5.6e+03 s Elapsed time so far: 7.0 s
83.2 % 5.6e+03 s Elapsed time so far: 7.0 s
83.3 % 5.6e+03 s Elapsed time so far: 7.0 s
83.5 % 5.6e+03 s Elapsed time so far: 7.1 s
83.6 % 5.6e+03 s Elapsed time so far: 7.1 s
83.8 % 5.6e+03 s Elapsed time so far: 7.1 s
83.9 % 5.6e+03 s Elapsed time so far: 7.1 s
84.1 % 5.6e+03 s Elapsed time so far: 7.1 s
84.2 % 5.6e+03 s Elapsed time so far: 7.1 s
84.4 % 5.7e+03 s Elapsed time so far: 7.1 s
84.5 % 5.7e+03 s Elapsed time so far: 7.1 s
84.7 % 5.7e+03 s Elapsed time so far: 7.1 s
84.8 % 5.7e+03 s Elapsed time so far: 7.1 s
85.0 % 5.7e+03 s Elapsed time so far: 7.2 s
85.1 % 5.7e+03 s Elapsed time so far: 7.2 s
85.3 % 5.7e+03 s Elapsed time so far: 7.2 s
85.4 % 5.7e+03 s Elapsed time so far: 7.2 s
85.6 % 5.7e+03 s Elapsed time so far: 7.2 s
85.7 % 5.7e+03 s Elapsed time so far: 7.2 s
85.8 % 5.8e+03 s Elapsed time so far: 7.2 s
86.0 % 5.8e+03 s Elapsed time so far: 7.2 s
86.2 % 5.8e+03 s Elapsed time so far: 7.2 s
86.3 % 5.8e+03 s Elapsed time so far: 7.2 s
86.5 % 5.8e+03 s Elapsed time so far: 7.3 s
86.6 % 5.8e+03 s Elapsed time so far: 7.3 s
86.8 % 5.8e+03 s Elapsed time so far: 7.3 s
86.9 % 5.8e+03 s Elapsed time so far: 7.3 s
87.0 % 5.8e+03 s Elapsed time so far: 7.3 s
87.2 % 5.8e+03 s Elapsed time so far: 7.3 s
87.3 % 5.9e+03 s Elapsed time so far: 7.3 s
87.5 % 5.9e+03 s Elapsed time so far: 7.3 s
87.7 % 5.9e+03 s Elapsed time so far: 7.3 s
87.8 % 5.9e+03 s Elapsed time so far: 7.3 s
87.9 % 5.9e+03 s Elapsed time so far: 7.3 s
88.1 % 5.9e+03 s Elapsed time so far: 7.4 s
88.2 % 5.9e+03 s Elapsed time so far: 7.4 s
88.4 % 5.9e+03 s Elapsed time so far: 7.4 s
88.5 % 5.9e+03 s Elapsed time so far: 7.4 s
88.7 % 5.9e+03 s Elapsed time so far: 7.4 s
88.8 % 6.0e+03 s Elapsed time so far: 7.4 s
89.0 % 6.0e+03 s Elapsed time so far: 7.4 s
89.1 % 6.0e+03 s Elapsed time so far: 7.4 s
89.3 % 6.0e+03 s Elapsed time so far: 7.4 s
89.4 % 6.0e+03 s Elapsed time so far: 7.4 s
89.6 % 6.0e+03 s Elapsed time so far: 7.5 s
89.7 % 6.0e+03 s Elapsed time so far: 7.5 s
89.9 % 6.0e+03 s Elapsed time so far: 7.5 s
90.0 % 6.0e+03 s Elapsed time so far: 7.5 s
90.2 % 6.0e+03 s Elapsed time so far: 7.5 s
90.3 % 6.1e+03 s Elapsed time so far: 7.5 s
90.5 % 6.1e+03 s Elapsed time so far: 7.5 s
90.6 % 6.1e+03 s Elapsed time so far: 7.5 s
90.8 % 6.1e+03 s Elapsed time so far: 7.5 s
90.9 % 6.1e+03 s Elapsed time so far: 7.5 s
91.1 % 6.1e+03 s Elapsed time so far: 7.6 s
91.2 % 6.1e+03 s Elapsed time so far: 7.6 s
91.4 % 6.1e+03 s Elapsed time so far: 7.6 s
91.5 % 6.1e+03 s Elapsed time so far: 7.6 s
91.7 % 6.1e+03 s Elapsed time so far: 7.6 s
91.8 % 6.2e+03 s Elapsed time so far: 7.6 s
92.0 % 6.2e+03 s Elapsed time so far: 7.6 s
92.1 % 6.2e+03 s Elapsed time so far: 7.6 s
92.3 % 6.2e+03 s Elapsed time so far: 7.6 s
92.4 % 6.2e+03 s Elapsed time so far: 7.6 s
92.6 % 6.2e+03 s Elapsed time so far: 7.7 s
92.7 % 6.2e+03 s Elapsed time so far: 7.7 s
92.9 % 6.2e+03 s Elapsed time so far: 7.7 s
93.0 % 6.2e+03 s Elapsed time so far: 7.7 s
93.2 % 6.2e+03 s Elapsed time so far: 7.7 s
93.3 % 6.3e+03 s Elapsed time so far: 7.7 s
93.5 % 6.3e+03 s Elapsed time so far: 7.7 s
93.6 % 6.3e+03 s Elapsed time so far: 7.7 s
93.8 % 6.3e+03 s Elapsed time so far: 7.7 s
93.9 % 6.3e+03 s Elapsed time so far: 7.7 s
94.1 % 6.3e+03 s Elapsed time so far: 7.8 s
94.2 % 6.3e+03 s Elapsed time so far: 7.8 s
94.4 % 6.3e+03 s Elapsed time so far: 7.8 s
94.5 % 6.3e+03 s Elapsed time so far: 7.8 s
94.7 % 6.3e+03 s Elapsed time so far: 7.8 s
94.8 % 6.4e+03 s Elapsed time so far: 7.8 s
95.0 % 6.4e+03 s Elapsed time so far: 7.8 s
95.1 % 6.4e+03 s Elapsed time so far: 7.8 s
95.3 % 6.4e+03 s Elapsed time so far: 7.8 s
95.4 % 6.4e+03 s Elapsed time so far: 7.8 s
95.6 % 6.4e+03 s Elapsed time so far: 7.9 s
95.7 % 6.4e+03 s Elapsed time so far: 7.9 s
95.8 % 6.4e+03 s Elapsed time so far: 7.9 s
96.0 % 6.4e+03 s Elapsed time so far: 7.9 s
96.2 % 6.4e+03 s Elapsed time so far: 7.9 s
96.3 % 6.5e+03 s Elapsed time so far: 7.9 s
96.5 % 6.5e+03 s Elapsed time so far: 7.9 s
96.6 % 6.5e+03 s Elapsed time so far: 7.9 s
96.8 % 6.5e+03 s Elapsed time so far: 7.9 s
96.9 % 6.5e+03 s Elapsed time so far: 8.0 s
97.0 % 6.5e+03 s Elapsed time so far: 8.0 s
97.2 % 6.5e+03 s Elapsed time so far: 8.0 s
97.3 % 6.5e+03 s Elapsed time so far: 8.0 s
97.5 % 6.5e+03 s Elapsed time so far: 8.0 s
97.7 % 6.5e+03 s Elapsed time so far: 8.0 s
97.8 % 6.6e+03 s Elapsed time so far: 8.0 s
97.9 % 6.6e+03 s Elapsed time so far: 8.0 s
98.1 % 6.6e+03 s Elapsed time so far: 8.0 s
98.2 % 6.6e+03 s Elapsed time so far: 8.0 s
98.4 % 6.6e+03 s Elapsed time so far: 8.1 s
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98.5 % 6.6e+03 s Elapsed time so far: 8.3 s
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99.3 % 6.7e+03 s Elapsed time so far: 14.5 s
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99.3 % 6.7e+03 s Elapsed time so far: 14.6 s
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99.3 % 6.7e+03 s Elapsed time so far: 14.7 s
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99.3 % 6.7e+03 s Elapsed time so far: 14.8 s
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99.3 % 6.7e+03 s Elapsed time so far: 14.9 s
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99.3 % 6.7e+03 s Elapsed time so far: 15.0 s
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99.3 % 6.7e+03 s Elapsed time so far: 15.1 s
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99.4 % 6.7e+03 s Elapsed time so far: 15.1 s
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Comparison with experimental data#
The results produced by FESTIM are in good agreement with the experimental data at different O coverages. The highest discrepancy is observed for high-temperature shoulders, where signals are of the noise level.
Show code cell source
from scipy.interpolate import interp1d
import plotly.graph_objects as go
import plotly.express as px
def RMSPE(x_sim, x_exp):
error = np.sqrt(np.mean((x_sim - x_exp) ** 2)) / np.mean(x_exp)
return error
def E_des_pp(surf_conc, n_surf, E0, dE, theta_D0, dtheta_D, alpha, beta):
theta_D = surf_conc / n_surf
E_FD = E0 + dE / (1 + np.exp((theta_D - theta_D0) / dtheta_D))
E_des = E_FD * (1 - alpha * np.exp(-beta * (1 - theta_D)))
return E_des
def compute_TDS(i, case):
time = np.array(results[case].t)
surf_conc = np.array(results[case][0].data)[np.where(time > t_imp + t_storage)]
T = np.array(results[case][1].data)[np.where(time > t_imp + t_storage)]
lamda_des = 1 / np.sqrt(inputs["n_surf"][i])
desorption_flux = (
2
* nu0
* (lamda_des * surf_conc) ** 2
* np.exp(
-E_des_pp(surf_conc, *[inputs[key][i] for key in inputs.keys()]) / F.k_B / T
)
)
return T, desorption_flux
ref_labels = ["clean", "050OML", "075OML"]
fig = go.Figure()
for i, case in enumerate(cases):
color = px.colors.qualitative.Plotly[i]
T, desorption_flux = compute_TDS(i, case)
exp_data = np.loadtxt(
f"./tds_data/{ref_labels[i]}_exp.csv", skiprows=1, delimiter=","
)
fig.add_trace(
go.Scatter(
x=T,
y=desorption_flux / 1e17,
mode="lines",
line=dict(color=color, width=3),
name="FESTIM: " + case,
)
)
fig.add_trace(
go.Scatter(
x=exp_data[:, 0],
y=exp_data[:, 1] / 1e17,
mode="markers",
marker=dict(color=color, size=9),
name="Exp.: " + case,
)
)
interp_tds = interp1d(T, desorption_flux, fill_value="extrapolate")
error = RMSPE(interp_tds(exp_data[:, 0]), exp_data[:, 1])
print(f"Case {case}: RMSPE={error*100:.2f} %")
fig.update_yaxes(
title_text="Desorption flux, 10<sup>17</sup> m<sup>-2</sup>s<sup>-1</sup>",
range=[0, 5],
)
fig.update_xaxes(title_text="Temperature, K", range=[300, 800], tick0=300, dtick=100)
fig.update_layout(template="simple_white", height=600)
# The writing-reading block below is needed to avoid the issue with compatibility
# of Plotly plots and dollarmath syntax extension in Jupyter Book
# For mode details, see https://github.com/jupyter-book/jupyter-book/issues/1528
fig.write_html("./dunand_comparison_exp.html")
from IPython.display import HTML, display
display(HTML("./dunand_comparison_exp.html"))
Case clean: RMSPE=17.35 %
Case 0.50ML of O: RMSPE=17.51 %
Case 0.75ML of O: RMSPE=42.36 %
Comparison with MHIMS#
The FESTIM results correlate perfectly with the MHIMS data.
Show code cell source
fig = go.Figure()
for i, case in enumerate(cases):
color = px.colors.qualitative.Plotly[i]
T, desorption_flux = compute_TDS(i, case)
MHIMS_data = np.loadtxt(
f"./tds_data/{ref_labels[i]}_MHIMS.csv", skiprows=1, delimiter=","
)
fig.add_trace(
go.Scatter(
x=T,
y=desorption_flux / 1e17,
mode="lines",
line=dict(color=color, width=3),
name="FESTIM: " + case,
)
)
fig.add_trace(
go.Scatter(
x=MHIMS_data[::15, 0],
y=MHIMS_data[::15, 1] / 1e17,
mode="markers",
marker=dict(color=color, size=9),
name="MHIMS: " + case,
)
)
interp_tds = interp1d(T, desorption_flux, fill_value="extrapolate")
error = RMSPE(interp_tds(MHIMS_data[:, 0]), MHIMS_data[:, 1])
print(f"Case {case}: RMSPE={error*100:.2f} %")
fig.update_yaxes(
title_text="Desorption flux, 10<sup>17</sup> m<sup>-2</sup>s<sup>-1</sup>",
range=[0, 5],
)
fig.update_xaxes(title_text="Temperature, K", range=[300, 800], tick0=300, dtick=100)
fig.update_layout(template="simple_white", height=600)
# The writing-reading block below is needed to avoid the issue with compatibility
# of Plotly plots and dollarmath syntax extension in Jupyter Book
# For mode details, see https://github.com/jupyter-book/jupyter-book/issues/1528
fig.write_html("./dunand_comparison_MHIMS.html")
display(HTML("./dunand_comparison_MHIMS.html"))
Case clean: RMSPE=0.54 %
Case 0.50ML of O: RMSPE=1.11 %
Case 0.75ML of O: RMSPE=0.78 %