class TestMesh(TestCase):
def setUp(self):
self.testmesh = Mesh(dimension=2)
nodes = np.array([[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0],
[2.0, 0.0], [2.0, 1.0]],
dtype=np.float)
connectivity = [
np.array([5, 6, 3], dtype=np.int),
np.array([3, 2, 5], dtype=np.int),
np.array([1, 2, 3, 4], dtype=np.int),
# boundary elements
np.array([4, 1], dtype=np.int),
np.array([5, 6], dtype=np.int)
]
shapes = ['Tri3', 'Tri3', 'Quad4', 'straight_line', 'straight_line']
data = {
'shape': shapes,
'is_boundary': [False, False, False, True, True],
'connectivity': connectivity
}
indices = [1, 2, 3, 4, 5]
el_df = pd.DataFrame(data, index=indices)
x = nodes[:, 0]
y = nodes[:, 1]
nodeids = [1, 2, 3, 4, 5, 6]
self._nodeids = nodeids
self._nodes = nodes
self._eleids = indices
self._connectivity = connectivity
self._connectivity = connectivity
self._shapes = shapes
nodes_df = pd.DataFrame({'x': x, 'y': y}, index=nodeids)
groups = {
'left': {
'elements': [3],
'nodes': []
},
'right': {
'elements': [1, 2],
'nodes': [2, 3, 5, 6]
},
'left_boundary': {
'elements': [4],
'nodes': []
},
'right_boundary': {
'elements': [5],
'nodes': [1, 2]
}
}
self.testmesh.nodes_df = nodes_df
self.testmesh.groups = groups
self.testmesh._el_df = el_df
self.testmesh3d = deepcopy(self.testmesh)
nodes3d = np.array([[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0],
[0.0, 1.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0]],
dtype=np.float)
self.testmesh3d.dimension = 3
x = nodes3d[:, 0]
y = nodes3d[:, 1]
z = nodes3d[:, 2]
nodes_df3d = pd.DataFrame({'x': x, 'y': y, 'z': z}, index=nodeids)
self.testmesh3d.nodes_df = nodes_df3d
def tearDown(self):
pass
def test_constructor(self):
from amfe.mesh import Mesh
mesh = Mesh(dimension=2)
self.assertEqual(mesh.dimension, 2)
mesh = Mesh(dimension=3)
self.assertEqual(mesh.dimension, 3)
with self.assertRaises(ValueError) as err:
mesh = Mesh(dimension=1)
def test_element_ids(self):
assert_array_equal(self.testmesh.element_ids, self._eleids)
def test_no_of_properties(self):
self.assertEqual(self.testmesh.no_of_nodes, 6)
self.assertEqual(self.testmesh.no_of_elements, 3)
self.assertEqual(self.testmesh.no_of_boundary_elements, 2)
self.assertEqual(self.testmesh.dimension, 2)
def test_nodes_voigt(self):
desired = np.array(
[0.0, 0.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 2.0, 0.0, 2.0, 1.0],
dtype=np.float)
assert_equal(self.testmesh.nodes_voigt, desired)
def test_connectivity(self):
desireds = np.array(self._connectivity)
actuals = self.testmesh.connectivity
for actual, desired in zip(actuals, desireds):
assert_array_equal(actual, desired)
def test_create_group(self):
elementids = [1, 4, 6, 8]
nodeids = np.array([100, 400], dtype=int)
desired = {'elements': [1, 4, 6, 8], 'nodes': [100, 400]}
self.testmesh.create_group('mygroup', nodeids, elementids)
actual_nodes = set(self.testmesh.groups['mygroup']['nodes'])
desired_nodes = set(desired['nodes'])
actual_elements = set(self.testmesh.groups['mygroup']['elements'])
desired_elements = set(desired['elements'])
self.assertEqual(actual_nodes, desired_nodes)
self.assertEqual(actual_elements, desired_elements)
with self.assertRaises(ValueError):
self.testmesh.create_group('right', nodeids, elementids)
self.testmesh.create_group('mygroup2', elementids=(4, 8, 1, 6))
actual_nodes = set(self.testmesh.groups['mygroup2']['nodes'])
desired_nodes = set()
actual_elements = set(self.testmesh.groups['mygroup2']['elements'])
desired_elements = set(desired['elements'])
self.assertEqual(actual_nodes, desired_nodes)
self.assertEqual(actual_elements, desired_elements)
def test_get_connectivity_by_elementids(self):
desireds = [
np.array([5, 6, 3], dtype=int),
np.array([4, 1], dtype=int)
]
for actual, desired in zip(
self.testmesh.get_connectivity_by_elementids([1, 4]),
desireds):
assert_array_equal(actual, desired)
def test_get_elementidxs_by_group(self):
actual = self.testmesh.get_elementidxs_by_groups(['right'])
desired = np.array([0, 1], dtype=int)
assert_array_equal(actual, desired)
def test_get_elementidxs_by_elementids(self):
actual = self.testmesh.get_elementidxs_by_elementids([4, 1])
desired = np.array([3, 0], dtype=int)
assert_array_equal(actual, desired)
def test_get_elementids_by_elementidxs(self):
actual = self.testmesh.get_elementids_by_elementidxs([3, 0])
desired = np.array([4, 1], dtype=int)
assert_array_equal(actual, desired)
def test_get_elementids_by_nodeids(self):
actual = self.testmesh.get_elementids_by_nodeids([1])
desired = np.array([3, 4], dtype=int)
assert_array_equal(actual, desired)
actual = self.testmesh.get_elementids_by_nodeids([3, 1])
desired = np.array([1, 2, 3, 4], dtype=int)
assert_array_equal(actual, desired)
actual = self.testmesh.get_elementids_by_nodeids((3, 1))
assert_array_equal(actual, desired)
actual = self.testmesh.get_elementids_by_nodeids(np.array([3, 1]))
assert_array_equal(actual, desired)
actual = self.testmesh.get_elementids_by_nodeids([0])
desired = np.array([], dtype=int)
assert_array_equal(actual, desired)
def test_get_elementidxs_by_groups(self):
actual = self.testmesh.get_elementidxs_by_groups(
['right', 'left_boundary'])
desired = np.array([0, 1, 3], dtype=int)
assert_array_equal(actual, desired)
def test_get_elementids_by_groups(self):
actual = self.testmesh.get_elementids_by_groups(
['right', 'left_boundary'])
desired = np.array([1, 2, 4], dtype=int)
assert_array_equal(actual, desired)
with self.assertRaises(ValueError):
self.testmesh.get_elementids_by_groups(['wrong'])
def test_get_nodeid_by_coordinates(self):
# 2d case
x, y = 2.0, 0.0
desired = 5
actual = self.testmesh.get_nodeid_by_coordinates(x, y)
self.assertEqual(actual, desired)
# 3d Case
z = 1.0
actual = self.testmesh3d.get_nodeid_by_coordinates(x, y, z)
self.assertEqual(actual, desired)
# big tolerance
x = 500.0
epsilon = np.inf
actual = self.testmesh.get_nodeid_by_coordinates(x, y, epsilon=epsilon)
self.assertEqual(actual, desired)
actual = self.testmesh3d.get_nodeid_by_coordinates(x,
y,
z,
epsilon=epsilon)
self.assertEqual(actual, desired)
# zero return
x = 500.0
desired = None
actual = self.testmesh.get_nodeid_by_coordinates(x, y)
self.assertEqual(actual, desired)
actual = self.testmesh3d.get_nodeid_by_coordinates(x, y, z)
self.assertEqual(actual, desired)
def test_get_nodeids_by_x_coordinates(self):
x = 2.0
epsilon = 0.1
desired = {5, 6}
actual = set(self.testmesh.get_nodeids_by_x_coordinates(x, epsilon))
self.assertEqual(actual, desired)
epsilon = 1.1
desired = {2, 3, 5, 6}
actual = set(self.testmesh.get_nodeids_by_x_coordinates(x, epsilon))
self.assertEqual(actual, desired)
def test_get_nodeids_by_lesser_equal_x_coordinates(self):
x = 1.0
epsilon = 0.1
desired = {1, 2, 3, 4}
actual = set(
self.testmesh.get_nodeids_by_lesser_equal_x_coordinates(
x, epsilon))
self.assertEqual(actual, desired)
x = 0.9
actual = set(
self.testmesh.get_nodeids_by_lesser_equal_x_coordinates(
x, epsilon))
self.assertEqual(actual, desired)
epsilon = 0.01
desired = {1, 4}
actual = set(
self.testmesh.get_nodeids_by_lesser_equal_x_coordinates(
x, epsilon))
self.assertEqual(actual, desired)
def test_get_nodeids_by_greater_equal_x_coordinates(self):
x = 1.0
epsilon = 0.1
desired = {2, 3, 5, 6}
actual = set(
self.testmesh.get_nodeids_by_greater_equal_x_coordinates(
x, epsilon))
self.assertEqual(actual, desired)
x = 1.1
actual = set(
self.testmesh.get_nodeids_by_greater_equal_x_coordinates(
x, epsilon))
self.assertEqual(actual, desired)
epsilon = 0.01
desired = {5, 6}
actual = set(
self.testmesh.get_nodeids_by_greater_equal_x_coordinates(
x, epsilon))
self.assertEqual(actual, desired)
def test_get_nodeids_by_group(self):
actual = self.testmesh.get_nodeids_by_groups(['left'])
desired = np.array([1, 2, 3, 4], dtype=np.int)
assert_equal(actual, desired)
actual = set(self.testmesh.get_nodeids_by_groups(['right_boundary']))
desired = set(np.array([1, 2, 5, 6]))
assert_equal(actual, desired)
actual = set(self.testmesh.get_nodeids_by_groups(['left_boundary']))
desired = set(np.array([1, 4], dtype=int))
assert_equal(actual, desired)
def test_get_ele_shapes_by_idxs(self):
actual = self.testmesh.get_ele_shapes_by_elementidxs([1, 4, 2])
desired = np.array(['Tri3', 'straight_line', 'Quad4'], dtype=object)
assert_equal(actual, desired)
def test_get_ele_shapes_by_ids(self):
actual = self.testmesh.get_ele_shapes_by_ids([2, 5, 3])
desired = np.array(['Tri3', 'straight_line', 'Quad4'], dtype=object)
assert_equal(actual, desired)
def test_get_nodeidxs_by_all(self):
actual = self.testmesh.get_nodeidxs_by_all()
desired = np.array([0, 1, 2, 3, 4, 5], dtype=np.int)
assert_equal(actual, desired)
def test_get_nodeidxs_by_nodeids(self):
actual = self.testmesh.get_nodeidxs_by_nodeids(np.array([1, 2, 5, 6]))
desired = np.array([0, 1, 4, 5])
assert_equal(actual, desired)
def test_get_nodeids_by_nodeidxs(self):
actual = self.testmesh.get_nodeids_by_nodeidxs([3, 5, 2])
desired = [4, 6, 3]
assert_equal(actual, desired)
actual = self.testmesh.get_nodeids_by_nodeidxs([3])
desired = [4]
assert_equal(actual, desired)
def test_get_nodeids_by_elementids(self):
actual = self.testmesh.get_nodeids_by_elementids(
np.array([2, 3], dtype=int))
desired = np.array([1, 2, 3, 4, 5], dtype=int)
assert_array_equal(actual, desired)
# test zero list:
actual = self.testmesh.get_nodeids_by_elementids(
np.array([], dtype=int))
desired = np.array([], dtype=int)
assert_array_equal(actual, desired)
def test_insert_tag(self):
current_col_num = len(self.testmesh.el_df.columns)
tag_to_add = 'partition_id'
self.testmesh.insert_tag(tag_to_add)
new_col_num = len(self.testmesh.el_df.columns)
assert_equal(current_col_num + 1, new_col_num)
self.assertTrue(tag_to_add in self.testmesh.el_df.columns)
def test_remove_tag(self):
tag_name = self.testmesh.el_df.columns[1]
current_col_num = len(self.testmesh.el_df.columns)
self.testmesh.remove_tag(tag_name)
new_col_num = len(self.testmesh.el_df.columns)
assert_equal(current_col_num, new_col_num + 1)
self.assertFalse(tag_name in self.testmesh.el_df.columns)
def test_change_tag_values_by_dict(self):
desired_list_1 = [4, 5]
desired_list_2 = [1, 2, 3]
tag_value_dict = {}
tag_value_dict['False'] = desired_list_1
tag_value_dict['True'] = desired_list_2
self.testmesh._change_tag_values_by_dict('is_boundary', tag_value_dict)
actual_list_1 = self.testmesh.el_df[self.testmesh.el_df['is_boundary']
== 'False'].index.tolist()
actual_list_2 = self.testmesh.el_df[self.testmesh.el_df['is_boundary']
== 'True'].index.tolist()
assert_equal(actual_list_1, desired_list_1)
assert_equal(actual_list_2, desired_list_2)
def test_replace_tag_values(self):
current_key = 'Tri3'
new_key = 'Tri6'
tag_name = 'shape'
desired = [1, 2]
self.testmesh.replace_tag_values(tag_name, current_key, new_key)
actual = self.testmesh.el_df[self.testmesh.el_df[tag_name] ==
new_key].index.tolist()
assert_equal(desired, actual)
def test_get_elementids_by_tags(self):
desired = np.array([1, 2], dtype=int)
actual = self.testmesh.get_elementids_by_tags(['shape', 'is_boundary'],
['Tri3', False])
assert_array_equal(desired, actual)
def test_get_nodeids_by_tag(self):
desired = np.array([1, 4, 5, 6], dtype=int)
actual = self.testmesh.get_nodeids_by_tags('shape', 'straight_line')
assert_array_equal(desired, actual)
def test_get_elementidxs_by_tags(self):
desired = np.array([0, 1], dtype=int)
actual = self.testmesh.get_elementidxs_by_tags('shape', 'Tri3')
assert_equal(desired, actual)
def test_get_iconnectivity_by_elementids(self):
desired = np.array([
np.array([0, 1, 2, 3], dtype=int),
np.array([4, 5, 2], dtype=int)
])
actual = self.testmesh.get_iconnectivity_by_elementids(
np.array([3, 1], dtype=int))
for actual_arr, desired_arr in zip(actual, desired):
assert_array_equal(desired_arr, actual_arr)
# Ask a second time to test lazy evaluation:
actual = self.testmesh.get_iconnectivity_by_elementids(
np.array([3, 1], dtype=int))
for actual_arr, desired_arr in zip(actual, desired):
assert_array_equal(desired_arr, actual_arr)
def test_get_groups_by_elementids(self):
groups_actual = self.testmesh.get_groups_by_elementids([1, 2, 4])
groups_desired = ['right', 'left_boundary']
assert_equal(groups_actual, groups_desired)
self.testmesh.groups = {
'left': {
'elements': [3],
'nodes': []
},
'right': {
'elements': [1, 2],
'nodes': [2, 3, 5, 6]
},
'left_boundary': {
'elements': [4],
'nodes': []
},
'right_boundary': {
'elements': [5, 2],
'nodes': [1, 2]
}
}
groups_actual = self.testmesh.get_groups_by_elementids([1, 2, 4])
groups_desired = ['right', 'left_boundary', 'right_boundary']
assert_equal(groups_actual, groups_desired)
def test_get_groups_by_nodeids(self):
groups_actual = self.testmesh.get_groups_by_nodeids([1, 2, 6])
groups_desired = ['right', 'right_boundary']
assert_equal(groups_actual, groups_desired)
def test_get_groups_dict_by_elementids(self):
groups_actual = self.testmesh.get_groups_dict_by_elementids([1, 2, 4])
groups_desired = {
'right': {
'elements': [1, 2]
},
'left_boundary': {
'elements': [4]
}
}
assert_equal(groups_actual, groups_desired)
self.testmesh.groups = {
'left': {
'elements': [3],
'nodes': []
},
'right': {
'elements': [1, 2],
'nodes': [2, 3, 5, 6]
},
'left_boundary': {
'elements': [4],
'nodes': []
},
'right_boundary': {
'elements': [5, 2],
'nodes': [1, 2]
}
}
groups_actual = self.testmesh.get_groups_dict_by_elementids([1, 2, 4])
groups_desired = {
'right': {
'elements': [1, 2]
},
'left_boundary': {
'elements': [4]
},
'right_boundary': {
'elements': [2]
}
}
assert_equal(groups_actual, groups_desired)
def test_get_groups_dict_by_nodeids(self):
groups_actual = self.testmesh.get_groups_dict_by_nodeids([1, 2, 6])
groups_desired = {
'right': {
'nodes': [2, 6]
},
'right_boundary': {
'nodes': [1, 2]
}
}
assert_equal(groups_actual, groups_desired)
def test_merge_into_groups(self):
add_groups = {
'left': {
'elements': [3],
'nodes': [1, 4]
},
'right': {
'elements': [1, 2]
},
'left_boundary': {
'elements': [4],
'nodes': []
},
'right_boundary': {
'elements': [5, 2],
'nodes': []
},
'new_node_group': {
'nodes': [1, 2, 3, 4]
}
}
self.testmesh.merge_into_groups(add_groups)
groups_desired = {
'left': {
'elements': [3],
'nodes': [1, 4]
},
'right': {
'elements': [1, 2],
'nodes': [2, 3, 5, 6]
},
'left_boundary': {
'elements': [4],
'nodes': []
},
'right_boundary': {
'elements': [5, 2],
'nodes': [1, 2]
},
'new_node_group': {
'elements': [],
'nodes': [1, 2, 3, 4]
}
}
for group_desired in groups_desired:
for secondary_group in ['elements', 'nodes']:
assert_equal(
set(self.testmesh.groups[group_desired][secondary_group]),
set(groups_desired[group_desired][secondary_group]))
self.assertEqual(len(self.testmesh.groups), len(groups_desired))
def test_add_node(self):
# Test 3D mesh
mesh = Mesh(3)
# test with tuple
coords = (0.0, 1.0, 2.0)
new_id = mesh.add_node(coords)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y', 'z']]
assert_array_equal(coords_actual, np.array(coords, dtype=float))
# test with array
coords = np.array([5, 6, 3], dtype=float)
new_id = mesh.add_node(coords)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y', 'z']]
assert_array_equal(coords_actual, np.array(coords, dtype=float))
# test with dict and id
coords = {'x': 5.0, 'y': 6.0, 'z': 3}
new_id = mesh.add_node(coords, 8)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y', 'z']]
assert_array_equal(coords_actual, np.array([5, 6, 3], dtype=float))
self.assertEqual(new_id, 8)
# test raise error no overwrite
coords = np.array([10, 4, 2], dtype=float)
with self.assertRaises(ValueError):
new_id = mesh.add_node(coords, 8)
# test overwrite and with int array
coords = np.array([10, 4, 2], dtype=int)
new_id = mesh.add_node(coords, 8, overwrite=True)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y', 'z']]
assert_array_equal(coords_actual, np.array(coords, dtype=float))
self.assertEqual(new_id, 8)
# Test 2D mesh
mesh = Mesh(2)
# test with tuple
coords = (0.0, 1.0, 2.0)
new_id = mesh.add_node(coords)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y']]
assert_array_equal(coords_actual, np.array(coords[0:2], dtype=float))
# test with array
coords = np.array([5, 6, 3], dtype=float)
new_id = mesh.add_node(coords)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y']]
assert_array_equal(coords_actual, np.array(coords[0:2], dtype=float))
# test with dict and id
coords = {'x': 5.0, 'y': 6.0, 'z': 3}
new_id = mesh.add_node(coords, 8)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y']]
assert_array_equal(coords_actual, np.array([5, 6], dtype=float))
self.assertEqual(new_id, 8)
# test raise error no overwrite
coords = np.array([10, 4, 2], dtype=float)
with self.assertRaises(ValueError):
new_id = mesh.add_node(coords, 8)
# test overwrite and with int array
coords = np.array([10, 4, 2], dtype=int)
new_id = mesh.add_node(coords, 8, overwrite=True)
coords_actual = mesh.nodes_df.loc[new_id, ['x', 'y']]
assert_array_equal(coords_actual, np.array(coords[0:2], dtype=float))
self.assertEqual(new_id, 8)
def test_add_element(self):
mesh = Mesh(2)
for nodeid, coords in zip(self._nodeids, self._nodes):
mesh.add_node(coords, nodeid)
conn_desired = np.array([5, 6, 3], dtype=np.int)
shape_desired = 'Tri3'
new_id = mesh.add_element(shape_desired, conn_desired)
shape_actual = mesh.get_ele_shapes_by_elementids([new_id])[0]
conn_actual = mesh.get_connectivity_by_elementids([new_id])[0]
self.assertEqual(shape_actual, shape_desired)
assert_array_equal(conn_actual, conn_desired)
conn_desired = np.array([4, 1], dtype=np.int)
shape_desired = 'straight_line'
new_id = mesh.add_element(shape_desired, conn_desired)
shape_actual = mesh.get_ele_shapes_by_elementids([new_id])[0]
conn_actual = mesh.get_connectivity_by_elementids([new_id])[0]
self.assertEqual(shape_actual, shape_desired)
assert_array_equal(conn_actual, conn_desired)
conn_desired = np.array([3, 2, 5], dtype=np.int)
shape_desired = 'Tri3'
new_id = mesh.add_element(shape_desired,
np.array([3, 2, 5], dtype=np.int), 5)
shape_actual = mesh.get_ele_shapes_by_elementids([new_id])[0]
conn_actual = mesh.get_connectivity_by_elementids([new_id])[0]
self.assertEqual(shape_actual, shape_desired)
assert_array_equal(conn_actual, conn_desired)
self.assertEqual(new_id, 5)
with self.assertRaises(ValueError):
mesh.add_element('Quad4', np.array([1, 2, 3, 4], dtype=np.int), 5)
conn_desired = np.array([1, 2, 3, 4], dtype=np.int)
shape_desired = 'Quad4'
new_id = mesh.add_element('Quad4',
np.array([1, 2, 3, 4], dtype=np.int),
5,
overwrite=True)
shape_actual = mesh.get_ele_shapes_by_elementids([new_id])[0]
conn_actual = mesh.get_connectivity_by_elementids([new_id])[0]
self.assertEqual(shape_actual, shape_desired)
assert_array_equal(conn_actual, conn_desired)
self.assertEqual(new_id, 5)
# Test wrong dtype
new_id = mesh.add_element('Quad4',
np.array([1, 2, 3, 4], dtype=np.float), 6)
shape_actual = mesh.get_ele_shapes_by_elementids([new_id])[0]
conn_actual = mesh.get_connectivity_by_elementids([new_id])[0]
self.assertEqual(shape_actual, shape_desired)
assert_array_equal(conn_actual, conn_desired)
self.assertEqual(new_id, 6)
# Test with tuple instead of array
new_id = mesh.add_element('Quad4', (1, 2, 3, 4), 7)
shape_actual = mesh.get_ele_shapes_by_elementids([new_id])[0]
conn_actual = mesh.get_connectivity_by_elementids([new_id])[0]
self.assertEqual(shape_actual, shape_desired)
assert_array_equal(conn_actual, conn_desired)
self.assertEqual(new_id, 7)
# Test wrong shape
with self.assertRaises(ValueError):
mesh.add_element('wrong_shape', np.array([1, 2, 3, 4],
dtype=np.int), 8)
def test_copy_node_by_id(self):
nodes_df_old = deepcopy(self.testmesh.nodes_df)
nodes_df_desired = pd.DataFrame(
{
'x': [0.0, 1.0, 1.0, 0.0, 2.0, 2.0, 1.0],
'y': [0.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0]
},
index=[1, 2, 3, 4, 5, 6, 7])
self.testmesh.copy_node_by_id(3)
assert_frame_equal(self.testmesh.nodes_df, nodes_df_desired)
def test_iconnectivity(self):
actual = self.testmesh.iconnectivity
desired = [
np.array([4, 5, 2], dtype=np.int),
np.array([2, 1, 4], dtype=np.int),
np.array([0, 1, 2, 3], dtype=np.int),
# boundary elements
np.array([3, 0], dtype=np.int),
np.array([4, 5], dtype=np.int)
]
for actual_arr, desired_arr in zip(actual, desired):
assert_array_equal(desired_arr, actual_arr)
def test_str(self):
print(self.testmesh)
class RectangleMesh2D:
def __init__(self, l, h, n_ele_l, n_ele_h, x_start=0.0, y_start=0.0):
self.l = l
self.h = h
self.n_ele_l = n_ele_l
self.n_ele_h = n_ele_h
self.delta_h_x = self.l / self.n_ele_l
self.delta_h_y = self.h / self.n_ele_h
self.x_start = x_start
self.y_start = y_start
self._mesh = Mesh(2)
@property
def mesh(self):
return self._mesh
def generate_mesh(self):
self._create_nodes()
self._create_elements()
def _create_nodes(self):
for i_node_y in np.arange(self.n_ele_h+1):
for i_node_x in np.arange(self.n_ele_l+1):
self._mesh.add_node([self.x_start + i_node_x * self.delta_h_x, self.y_start + i_node_y * self.delta_h_y])
def _create_elements(self):
for i_ele_y in np.arange(self.n_ele_h):
for i_ele_x in np.arange(self.n_ele_l):
node1 = self._mesh.get_nodeid_by_coordinates(self.x_start + i_ele_x * self.delta_h_x,
self.y_start + i_ele_y * self.delta_h_y)
node2 = self._mesh.get_nodeid_by_coordinates(self.x_start + (i_ele_x + 1) * self.delta_h_x,
self.y_start + i_ele_y * self.delta_h_y)
node3 = self._mesh.get_nodeid_by_coordinates(self.x_start + (i_ele_x + 1) * self.delta_h_x,
self.y_start + (i_ele_y + 1) * self.delta_h_y)
node4 = self._mesh.get_nodeid_by_coordinates(self.x_start + i_ele_x * self.delta_h_x,
self.y_start + (i_ele_y + 1) * self.delta_h_y)
connectivity = np.array([node1, node2, node3, node4])
self._mesh.add_element('Quad4', connectivity)
def add_boundary(self, edge, group_name=None):
if edge is 'left':
nodes = self._mesh.get_nodeids_by_coordinate_axis(self.x_start, 'x', 1e-6)
elif edge is 'right':
nodes = self._mesh.get_nodeids_by_coordinate_axis(self.x_start+self.l, 'x', 1e-6)
elif edge is 'bottom':
nodes = self._mesh.get_nodeids_by_coordinate_axis(self.y_start, 'y', 1e-6)
elif edge is 'top':
nodes = self._mesh.get_nodeids_by_coordinate_axis(self.y_start + self.h, 'y', 1e-6)
else:
raise ValueError('Unknown edge-type')
for idx in range(nodes.size-1):
eleid = self._mesh.add_element('straight_line', np.array([nodes[idx], nodes[idx+1]]))
if group_name is not None and len(self._mesh.get_groups_by_elementids([eleid])) == 0:
if group_name in self._mesh.groups:
self._mesh.add_element_to_groups(eleid, [group_name])
else:
self._mesh.create_group(group_name, (), [eleid])
def set_checkerboard_groups(self, segment_length, segment_height, segment_groups):
n_seg_x = int(round(self.l/segment_length))
n_seg_y = int(round(self.h/segment_height))
segments = dict()
seg = 0
for seg_y in range(n_seg_y):
for seg_x in range(n_seg_x):
if seg_y % 2 == 0:
group_name = segment_groups[seg_x % len(segment_groups)]
else:
group_name = segment_groups[(seg_x+1) % len(segment_groups)]
segments[seg] = {'nodes': {'lowerleft': np.array([seg_x * segment_length, seg_y * segment_height]),
'lowerright': np.array([(seg_x + 1) * segment_length, seg_y * segment_height]),
'upperleft': np.array([seg_x * segment_length, (seg_y + 1) * segment_height]),
'upperright': np.array([(seg_x + 1) * segment_length, (seg_y + 1) * segment_height])},
'group': group_name
}
seg += 1
def check_node_in_segment(P1, P2, P3, P4, node):
edge_x = P2 - P1
edge_y = P4 - P1
constraint_x = (np.dot(edge_x, P1) <= np.dot(edge_x, node) <= np.dot(edge_x, P2))
constraint_y = (np.dot(edge_y, P1) <= np.dot(edge_y, node) <= np.dot(edge_y, P4))
return constraint_x and constraint_y
eleids = self._mesh.get_elementids_by_tags(['shape'], ['Quad4'])
for eleid in eleids:
nodes = self._mesh.get_nodeids_by_elementids([eleid])
for idx, seg in segments.items():
seg_nodes = seg['nodes']
ele_in_segment = True
for node in nodes:
node_pos = np.array([self._mesh.nodes_df.at[node,'x'], self._mesh.nodes_df.at[node,'y']])
if not check_node_in_segment(seg_nodes['lowerleft'], seg_nodes['lowerright'],
seg_nodes['upperright'], seg_nodes['upperleft'], node_pos):
ele_in_segment = False
break
if ele_in_segment:
if seg['group'] in self._mesh.groups:
self._mesh.add_element_to_groups(eleid, [seg['group']])
else:
self._mesh.create_group(seg['group'], (), [eleid])
break
def set_homogeneous_group(self, groupname):
self._mesh.create_group(groupname, (), self._mesh.get_elementids_by_tags(['shape'], ['Quad4']))