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Troubled Cell Detection
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Laura Christine Kühle
Troubled Cell Detection
Commits
4acbe7cf
Commit
4acbe7cf
authored
3 years ago
by
Laura Christine Kühle
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Moved stencil building to Mesh class.
parent
c7f002a9
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3 changed files
ANN_Data_Generator.py
+31
-55
31 additions, 55 deletions
ANN_Data_Generator.py
DG_Approximation.py
+8
-2
8 additions, 2 deletions
DG_Approximation.py
projection_utils.py
+28
-1
28 additions, 1 deletion
projection_utils.py
with
67 additions
and
58 deletions
ANN_Data_Generator.py
+
31
−
55
View file @
4acbe7cf
...
@@ -13,15 +13,20 @@ from Quadrature import Gauss
...
@@ -13,15 +13,20 @@ from Quadrature import Gauss
from
Basis_Function
import
OrthonormalLegendre
from
Basis_Function
import
OrthonormalLegendre
basis_list
=
[
OrthonormalLegendre
(
pol_deg
)
for
pol_deg
in
range
(
5
)]
quadrature_list
=
[
Gauss
({
'
num_nodes
'
:
pol_deg
+
1
})
for
pol_deg
in
range
(
5
)]
class
TrainingDataGenerator
:
class
TrainingDataGenerator
:
"""
Class for training data generator.
"""
Class for training data generator.
Generates random training data for given initial conditions.
Generates random training data for given initial conditions.
Attributes
----------
basis_list : list
List of basis instances for degree 1 to 4.
quadrature_list : list
List of Gauss quadrature instances for degree 2 to 5.
mesh_list : list
List of Mesh instances for 2**(3 to 8) cells.
Methods
Methods
-------
-------
build_training_data(num_samples)
build_training_data(num_samples)
...
@@ -41,8 +46,13 @@ class TrainingDataGenerator:
...
@@ -41,8 +46,13 @@ class TrainingDataGenerator:
Size of training data array. Default: 3.
Size of training data array. Default: 3.
"""
"""
self
.
_left_bound
=
left_bound
self
.
_basis_list
=
[
OrthonormalLegendre
(
pol_deg
)
self
.
_right_bound
=
right_bound
for
pol_deg
in
range
(
5
)]
self
.
_quadrature_list
=
[
Gauss
({
'
num_nodes
'
:
pol_deg
+
1
})
for
pol_deg
in
range
(
5
)]
self
.
_mesh_list
=
[
Mesh
(
left_bound
=
left_bound
,
right_bound
=
right_bound
,
num_ghost_cells
=
0
,
num_grid_cells
=
2
**
exp
)
for
exp
in
range
(
3
,
9
)]
# Set stencil length
# Set stencil length
if
stencil_length
%
2
==
0
:
if
stencil_length
%
2
==
0
:
...
@@ -147,6 +157,8 @@ class TrainingDataGenerator:
...
@@ -147,6 +157,8 @@ class TrainingDataGenerator:
# Create normalized input data
# Create normalized input data
norm_input_matrix
=
self
.
_normalize_data
(
input_matrix
)
norm_input_matrix
=
self
.
_normalize_data
(
input_matrix
)
# print(input_matrix)
# print(norm_input_matrix)
return
{
'
input_data.raw
'
:
input_matrix
,
'
output_data
'
:
output_matrix
,
return
{
'
input_data.raw
'
:
input_matrix
,
'
output_data
'
:
output_matrix
,
'
input_data.normalized
'
:
norm_input_matrix
}
'
input_data.normalized
'
:
norm_input_matrix
}
...
@@ -197,28 +209,28 @@ class TrainingDataGenerator:
...
@@ -197,28 +209,28 @@ class TrainingDataGenerator:
initial_condition
.
randomize
(
initial_condition
.
randomize
(
initial_conditions
[
function_id
][
'
config
'
])
initial_conditions
[
function_id
][
'
config
'
])
# Build random stencil of given length
# Build mesh for random stencil of given length
interval
,
centers
,
spacing
=
self
.
_build_stencil
()
mesh
=
self
.
_mesh_list
[
int
(
np
.
random
.
randint
(
left_bound
,
right_bound
=
interval
3
,
high
=
9
,
size
=
1
))
-
3
].
random_stencil
(
self
.
_stencil_length
)
centers
=
[
center
[
0
]
for
center
in
centers
]
# Induce adjustment to capture troubled cells
# Induce adjustment to capture troubled cells
adjustment
=
0
if
initial_condition
.
is_smooth
()
\
adjustment
=
0
if
initial_condition
.
is_smooth
()
\
else
centers
[
self
.
_stencil_length
//
2
]
else
mesh
.
non_ghost_cells
[
self
.
_stencil_length
//
2
]
initial_condition
.
induce_adjustment
(
-
spacing
[
0
]
/
3
)
initial_condition
.
induce_adjustment
(
-
mesh
.
cell_len
/
3
)
# print(initial_condition.is_smooth())
# print(mesh.interval_len, mesh.non_ghost_cells, mesh.cell_len)
# print(adjustment, -mesh.cell_len/3)
# print()
# Calculate basis coefficients for stencil
# Calculate basis coefficients for stencil
polynomial_degree
=
np
.
random
.
randint
(
1
,
high
=
5
)
polynomial_degree
=
np
.
random
.
randint
(
1
,
high
=
5
)
mesh
=
Mesh
(
num_grid_cells
=
self
.
_stencil_length
,
num_ghost_cells
=
2
,
left_bound
=
left_bound
,
right_bound
=
right_bound
)
projection
=
do_initial_projection
(
projection
=
do_initial_projection
(
initial_condition
=
initial_condition
,
mesh
=
mesh
,
initial_condition
=
initial_condition
,
mesh
=
mesh
,
basis
=
basis_list
[
polynomial_degree
],
basis
=
self
.
_
basis_list
[
polynomial_degree
],
quadrature
=
quadrature_list
[
polynomial_degree
],
quadrature
=
self
.
_
quadrature_list
[
polynomial_degree
],
adjustment
=
adjustment
)
adjustment
=
adjustment
)
# print(projection)
input_data
[
i
]
=
basis_list
[
input_data
[
i
]
=
self
.
_
basis_list
[
polynomial_degree
].
calculate_cell_average
(
polynomial_degree
].
calculate_cell_average
(
projection
=
projection
[:,
1
:
-
1
],
projection
=
projection
[:,
1
:
-
1
],
stencil_length
=
self
.
_stencil_length
,
stencil_length
=
self
.
_stencil_length
,
...
@@ -239,42 +251,6 @@ class TrainingDataGenerator:
...
@@ -239,42 +251,6 @@ class TrainingDataGenerator:
return
input_data
,
output_data
return
input_data
,
output_data
def
_build_stencil
(
self
):
"""
Builds random stencil.
Calculates fixed number of cell centers around a random point in a
given 1D domain.
Returns
-------
interval : ndarray
List containing left and right bound of interval.
stencil : ndarray
List of cell centers in stencil.
grid_spacing : float
Length of cell in grid.
"""
# Select random cell length
grid_spacing
=
2
/
(
2
**
np
.
random
.
randint
(
3
,
high
=
9
,
size
=
1
))
# Pick random point between left and right bound
point
=
np
.
random
.
uniform
(
self
.
_left_bound
,
self
.
_right_bound
)
# Adjust grid spacing if necessary for stencil creation
while
point
-
self
.
_stencil_length
/
2
*
grid_spacing
<
self
.
_left_bound
\
or
point
+
self
.
_stencil_length
/
2
*
\
grid_spacing
>
self
.
_right_bound
:
grid_spacing
/=
2
# Build x-point stencil
interval
=
np
.
array
([
point
-
self
.
_stencil_length
/
2
*
grid_spacing
,
point
+
self
.
_stencil_length
/
2
*
grid_spacing
])
stencil
=
np
.
array
([
point
+
factor
*
grid_spacing
for
factor
in
range
(
-
(
self
.
_stencil_length
//
2
),
self
.
_stencil_length
//
2
+
1
)])
return
interval
,
stencil
,
grid_spacing
@staticmethod
@staticmethod
def
_normalize_data
(
input_data
):
def
_normalize_data
(
input_data
):
"""
Normalizes data.
"""
Normalizes data.
...
...
This diff is collapsed.
Click to expand it.
DG_Approximation.py
+
8
−
2
View file @
4acbe7cf
...
@@ -12,10 +12,16 @@ TODO: Contemplate containing coarse mesh generation in Mesh
...
@@ -12,10 +12,16 @@ TODO: Contemplate containing coarse mesh generation in Mesh
TODO: Contemplate extracting boundary condition from InitialCondition
TODO: Contemplate extracting boundary condition from InitialCondition
TODO: Contemplate containing boundary condition in Mesh
TODO: Contemplate containing boundary condition in Mesh
TODO: Ask whether all quadratures depend on freely chosen num_nodes
TODO: Ask whether all quadratures depend on freely chosen num_nodes
TODO: Contemplate saving each IC separately
TODO: Contemplate removing TrainingDataGenerator class
Urgent:
Urgent:
TODO: Remove unnecessary instance variables from TrainingDataGenerator
TODO: Remove unnecessary instance variables from TrainingDataGenerator -> Done
TODO: Find error in centering for ANN training
TODO: Fix bug during adjustment setting -> Done
TODO: Move stencil building to Mesh -> Done
TODO: Investigate self-referencing in classes
TODO: Remove stencil_length as instance variable
TODO: Find errors in centering for ANN training
TODO: Adapt TCD from Soraya
TODO: Adapt TCD from Soraya
(Dropbox->...->TEST_troubled-cell-detector->Troubled_Cell_Detector)
(Dropbox->...->TEST_troubled-cell-detector->Troubled_Cell_Detector)
TODO: Add TC condition to only flag cell if left-adjacent one is flagged as
TODO: Add TC condition to only flag cell if left-adjacent one is flagged as
...
...
This diff is collapsed.
Click to expand it.
projection_utils.py
+
28
−
1
View file @
4acbe7cf
...
@@ -93,13 +93,40 @@ class Mesh:
...
@@ -93,13 +93,40 @@ class Mesh:
"""
Return the cell centers of the mesh (excluding ghost cells).
"""
"""
Return the cell centers of the mesh (excluding ghost cells).
"""
return
self
.
cells
[
self
.
_num_ghost_cells
:
-
self
.
_num_ghost_cells
]
return
self
.
cells
[
self
.
_num_ghost_cells
:
-
self
.
_num_ghost_cells
]
def
create_data_dict
(
self
):
def
create_data_dict
(
self
)
->
dict
:
"""
Return dictionary with data necessary to construct mesh.
"""
"""
Return dictionary with data necessary to construct mesh.
"""
return
{
'
num_grid_cells
'
:
self
.
_num_grid_cells
,
return
{
'
num_grid_cells
'
:
self
.
_num_grid_cells
,
'
left_bound
'
:
self
.
_left_bound
,
'
left_bound
'
:
self
.
_left_bound
,
'
right_bound
'
:
self
.
_right_bound
,
'
right_bound
'
:
self
.
_right_bound
,
'
num_ghost_cells
'
:
self
.
_num_ghost_cells
}
'
num_ghost_cells
'
:
self
.
_num_ghost_cells
}
def
random_stencil
(
self
,
stencil_length
:
int
)
->
'
Mesh
'
:
"""
Return random stencil.
Build mesh with given number of cell centers around a random point
in the underlying interval.
Returns
-------
Mesh object
Mesh of given size around random point.
"""
# Pick random point between left and right bound
point
=
np
.
random
.
uniform
(
self
.
_left_bound
,
self
.
_right_bound
)
# Adjust grid spacing to be within interval if necessary
# creation
grid_spacing
=
self
.
cell_len
while
point
-
stencil_length
/
2
*
grid_spacing
<
self
.
_left_bound
\
or
point
+
stencil_length
/
2
*
grid_spacing
>
self
.
_right_bound
:
grid_spacing
/=
2
# Return new mesh instance
return
Mesh
(
left_bound
=
point
-
stencil_length
/
2
*
grid_spacing
,
right_bound
=
point
+
stencil_length
/
2
*
grid_spacing
,
num_grid_cells
=
stencil_length
,
num_ghost_cells
=
2
)
def
calculate_approximate_solution
(
def
calculate_approximate_solution
(
projection
:
ndarray
,
points
:
ndarray
,
polynomial_degree
:
int
,
projection
:
ndarray
,
points
:
ndarray
,
polynomial_degree
:
int
,
...
...
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