Skip to content
GitLab
Explore
Sign in
Register
Primary navigation
Search or go to…
Project
P
Poisson_Solver
Manage
Activity
Members
Labels
Plan
Issues
Issue boards
Milestones
Wiki
Code
Merge requests
Repository
Branches
Commits
Tags
Repository graph
Compare revisions
Snippets
Build
Pipelines
Jobs
Pipeline schedules
Artifacts
Deploy
Releases
Container Registry
Model registry
Operate
Environments
Monitor
Incidents
Service Desk
Analyze
Value stream analytics
Contributor analytics
CI/CD analytics
Repository analytics
Model experiments
Help
Help
Support
GitLab documentation
Compare GitLab plans
Community forum
Contribute to GitLab
Provide feedback
Keyboard shortcuts
?
Snippets
Groups
Projects
Show more breadcrumbs
asantosnet
Poisson_Solver
Commits
765ac7a4
Commit
765ac7a4
authored
6 years ago
by
asantosnet
Browse files
Options
Downloads
Patches
Plain Diff
Updated syntax
parent
e359374f
No related branches found
Branches containing commit
No related tags found
No related merge requests found
Changes
1
Hide whitespace changes
Inline
Side-by-side
Showing
1 changed file
poisson/examples/example_sphere_3D.py
+55
-84
55 additions, 84 deletions
poisson/examples/example_sphere_3D.py
with
55 additions
and
84 deletions
poisson/examples/example_sphere_3D.py
+
55
−
84
View file @
765ac7a4
...
...
@@ -6,10 +6,12 @@ import numpy as np
import
matplotlib.pyplot
as
plt
import
os
from
poisson_toolbox.mesher
import
Mesher
from
poisson_toolbox
import
meshes
,
shapes
from
poisson
import
geometry
,
solver
,
system
from
poisson
import
plot_toolbox
as
p_plt
from
poisson
import
plot
as
p_plt
from
poisson.continuous
import
shapes
from
poisson.tools
import
post_process
from
poisson
import
(
DiscretePoisson
,
GridBuilder
,
ContinuousGeometry
,
LinearProblem
)
def
sphere_3D
():
...
...
@@ -40,114 +42,83 @@ def sphere_3D():
step
=
[
0.1
,
np
.
pi
/
20
,
np
.
pi
/
20
]
step_2
=
[
0.01
,
np
.
pi
/
20
,
np
.
pi
/
20
]
mesh_obj
=
Mesh
er
(
build_mesh
=
False
)
grid
=
GridBuild
er
(
build_mesh
=
False
)
mesh_obj
.
add_mesh_spherical
(
sphericalbox
,
step
,
cercle1
,
0
)
mesh_obj
.
add_mesh_spherical
(
sphericalbox
,
step
,
cercle2
,
1
)
mesh_obj
.
add_mesh_spherical
(
sphericalbox
,
step
,
cercle3
,
2
)
mesh_obj
.
add_mesh_spherical
(
sphericalbox
,
step_2
,
cercle_1_2
,
3
)
mesh_obj
.
add_mesh_spherical
(
sphericalbox
,
step_2
,
cercle_2_3
,
4
)
grid
.
add_mesh_spherical
(
sphericalbox
,
step
,
cercle1
,
0
)
grid
.
add_mesh_spherical
(
sphericalbox
,
step
,
cercle2
,
1
)
grid
.
add_mesh_spherical
(
sphericalbox
,
step
,
cercle3
,
2
)
grid
.
add_mesh_spherical
(
sphericalbox
,
step_2
,
cercle_1_2
,
3
)
grid
.
add_mesh_spherical
(
sphericalbox
,
step_2
,
cercle_2_3
,
4
)
#3D plot of the point grid using myavi.
# p_plt.points_3D_mavi(mesh_obj, scale_factor=.04)
# Plot the grid
p_plt
.
points_3D_mavi
(
cls_inst
=
grid
,
scale_factor
=
0.05
)
plt
.
show
()
#### Construct the poisson problem and solve it
poissonpro
=
geometry
.
Geometry
(
space
=
(
cercle1
+
cercle2
+
cercle3
),
geometry
=
Continuous
Geometry
(
space
=
(
cercle1
+
cercle2
+
cercle3
),
voltage
=
[
cercle1
,
cercle3
])
sys_instance
=
system
.
System
(
poissonpro
,
mesh
=
meshes
.
Voronoi
(
grid
=
mesh_obj
.
mesh_points
),
# Visualize the geometry of a 2D system
bbox
=
[
-
10
,
10
,
-
10
,
10
]
plot_geometry
=
geometry
.
plot
(
direction
=
2
,
bbox
=
bbox
,
plot_type
=
'
2D
'
)
plot_geometry
(
variable
=
0
)
geometry
.
plot
(
points
=
grid
.
points
,
plot_type
=
'
3D
'
,
scale_factor
=
0.05
)
plt
.
show
()
# Or
plot_geometry
=
p_plt
.
plot_continuous_geometry
(
geometry_inst
=
geometry
,
bbox
=
bbox
)
plot_geometry
(
variable
=
0
)
p_plt
.
points_3D_mavi
(
cls_inst
=
geometry
,
points
=
grid
.
points
,
scale_factor
=
0.05
)
plt
.
show
()
# Discretize the continuous geometry using a voronoi finite volume mesh
sys_instance
=
DiscretePoisson
(
geometry
,
grid
=
grid
,
selection
=
{
'
Neuman-Dirichlet
'
:[[
'
voltage
'
,
'
*
'
]]})
system_eq_obj
=
solver
.
SysEquations
(
sys_instance
,
is_charge_density
=
True
,
voltage_val
=
[(
cercle3
,
4.0
),
# Build the A and B matrix (A = xB) and solve for x
linear_prob_inst
=
LinearProblem
(
sys_instance
,
is_charge_density
=
True
,
voltage_val
=
[(
cercle3
,
4.0
),
(
cercle1
,
0.0
)])
points_charge
=
system_eq_obj
.
points_charge
points_voltage
=
system_eq_obj
.
points_voltage
# Save data to vtk file
current
=
'
/
'
.
join
((
os
.
path
.
dirname
(
os
.
path
.
abspath
(
__file__
)),
'
example_sphere3D
'
))
system_eq_obj
.
save_to_vtk
(
filename
=
current
)
linear_prob_inst
.
save_to_vtk
(
filename
=
current
)
#### Plotting
# Plot 2D cut of charge variation:
direction_2d_cut
=
1
axis
=
[
'
x
'
,
'
y
'
,
'
z
'
]
del
axis
[
direction_2d_cut
]
plot_charge
=
p_plt
.
sliced_values_2d
(
figsize
=
(
11
,
11
),
colorbar_label
=
r
'
Voltage (V)
'
,
bbox
=
[
-
10
,
10
,
-
10
,
10
],
xlabel
=
'
{0}(nm)
'
.
format
(
axis
[
0
]),
ylabel
=
'
{0}(nm)
'
.
format
(
axis
[
1
]),
points_value
=
points_charge
,
discretized_obj
=
sys_instance
,
npt
=
[
1000
,
1000
],
direction
=
direction_2d_cut
,
cmap
=
'
seismic
'
,
interpolation
=
None
,
aspect
=
'
equal
'
)
# Plot 2D cut of charge variation:
plot_voltage
=
p_plt
.
sliced_values_2d
(
figsize
=
(
11
,
11
),
colorbar_label
=
r
'
Charge density($\#.nm^{{{-2}}}$)
'
,
bbox
=
[
-
10
,
10
,
-
10
,
10
],
xlabel
=
'
{0}(nm)
'
.
format
(
axis
[
0
]),
ylabel
=
'
{0}(nm)
'
.
format
(
axis
[
1
]),
points_value
=
points_voltage
,
discretized_obj
=
sys_instance
,
npt
=
[
1000
,
1000
],
direction
=
direction_2d_cut
,
cmap
=
'
seismic
'
,
interpolation
=
None
,
aspect
=
'
equal
'
)
plot_charge
(
0.0
)
plot_voltage
(
0.0
)
# Plot 2D cut
plot_volt
,
plot_charge
=
linear_prob_inst
.
plot_cut_2d
(
direction
=
2
,
npoints
=
(
1000
,
1000
))
plot_volt
(
variable
=
0
,
colorbar_label
=
'
Voltage (V)
'
)
plot_charge
(
variable
=
0
,
colorbar_label
=
'
Charge
'
)
plt
.
show
()
# Plot 1d cut:
direction
=
0
dimension
=
3
directions
=
np
.
arange
(
dimension
,
dtype
=
int
)[
np
.
logical_not
(
np
.
in1d
(
np
.
arange
(
dimension
,
dtype
=
int
),
direction
))]
xlabel
=
[
'
x
'
,
'
y
'
,
'
z
'
]
plot_voltage
=
p_plt
.
sliced_values_1d
(
figsize
=
(
10
,
10
),
directions
=
directions
,
discretized_obj
=
sys_instance
,
dimension
=
3
,
points_value
=
points_voltage
,
bbox
=
[
-
10
,
10
,
3000
])
points_charge_numb
=
(
points_charge
*
sys_instance
.
mesh
.
points_hypervolume
)
plot_charge
=
p_plt
.
sliced_values_1d
(
figsize
=
(
10
,
10
),
directions
=
directions
,
discretized_obj
=
sys_instance
,
dimension
=
3
,
points_value
=
points_charge_numb
,
bbox
=
[
-
10
,
10
,
3000
])
plot_voltage
,
plot_charge
=
linear_prob_inst
.
plot_cut_1d
(
directions
=
(
1
,
2
),
bbox
=
'
default
'
,
npoints
=
2000
)
fig2
=
plt
.
figure
()
ax_voltage
=
fig2
.
add_subplot
(
111
)
t
,
data_volt
=
plot_voltage
([
0.0
,
0.0
],
ax
=
ax_voltage
,
return_data
=
True
,
label
=
'
Voltage simulation
'
,
marker
=
'
.
'
,
color
=
'
k
'
,
linestyle
=
'
None
'
)
t
,
data_volt
=
plot_voltage
(
(
0
,
0
),
ax
=
ax_voltage
,
marker
=
'
.
'
,
color
=
'
k
'
,
label
=
'
Voltage simulation
'
,
linestyle
=
'
None
'
)
ax_voltage
.
set_xlabel
(
'
{0}(nm)
'
.
format
(
xlabel
[
direction
]
))
ax_voltage
.
set_xlabel
(
'
{0}(nm)
'
.
format
(
'
y
'
))
ax_voltage
.
set_ylabel
(
'
Voltage(V)
'
)
ax_voltage
.
legend
(
loc
=
'
upper center
'
)
ax_charge
=
ax_voltage
.
twinx
()
t
,
data_charge
=
plot_charge
([
0.0
,
0.0
],
ax
=
ax_charge
,
return_data
=
True
,
label
=
'
Charge simulation
'
,
marker
=
'
.
'
,
color
=
'
b
'
,
linestyle
=
'
None
'
)
tt
,
data_charge
=
plot_charge
(
(
0
,
0
),
ax
=
ax_charge
,
marker
=
'
.
'
,
color
=
'
b
'
,
label
=
'
Charge simulation
'
,
linestyle
=
'
None
'
)
ax_charge
.
set_xlabel
(
'
{0}(nm)
'
.
format
(
xlabel
[
direction
]
))
ax_charge
.
set_ylabel
(
'
Charge
(C)
'
)
ax_charge
.
set_xlabel
(
'
{0}(nm)
'
.
format
(
'
y
'
))
ax_charge
.
set_ylabel
(
r
'
Charge
density $(\#.nm^{{{-2}}})$
'
)
ax_charge
.
legend
(
loc
=
'
lower center
'
)
plt
.
show
()
sphere_3D
()
\ No newline at end of file
This diff is collapsed.
Click to expand it.
Preview
0%
Loading
Try again
or
attach a new file
.
Cancel
You are about to add
0
people
to the discussion. Proceed with caution.
Finish editing this message first!
Save comment
Cancel
Please
register
or
sign in
to comment