def integration_process(folder_path, preProcData):
file_names = File_names()
results_folder = file_names.get_results_folder_name()
results_path = os.path.join(folder_path, results_folder)
# Source field
run_surface_integral = False
run_biot_savart = True
run_VS = False
#%% Instances and geral definitions
global_variables = GlobalVariables()
error = Errors()
operations = Operations()
materials_lib = get_materials_lib()
vacuum = Vacuum()
get_gauss_points_class = GaussPoints()
shape_functions = ShapeFuncions()
operations = Operations()
str_noflux_face = global_variables.str_noflux_face
results_folder = file_names.get_results_folder_name()
face = Face()
#------------------------------------------------------------------------------
# Setup
regions_material = preProcData.RegionMaterial
regions_excitation = preProcData.RegionExcitation
boundary = preProcData.BC
external_reluctances = preProcData.ExternalReluctances
coupling = preProcData.CoupNet
#------------------------------------------------------------------------------
# Mesh
mesh_data = preProcData.MeshData
all_elem_nodes_3D = mesh_data.ElemNodes
nodes_coordenates = mesh_data.NodesCoordenates
elem_tags = mesh_data.ElemTags
elem_type = mesh_data.ElemType
#%% Get 2D and 3D elements, with their materials name
elem_2D_ID = list()
elem_type_3D = list()
elem_nodes_3D = list()
elem_tags_3D = list()
region_ID_list_3D = list()
number_elements_2D = 0
for counter, each_elem in enumerate(all_elem_nodes_3D):
this_elem_type = elem_type[counter]
if this_elem_type < 4:
elem_2D_ID.append(counter)
number_elements_2D += 1
else:
elem_nodes_3D.append(each_elem)
elem_type_3D.append(elem_type[counter])
elem_tags_3D.append(elem_tags[counter])
find = False
for each_region in regions_material:
if each_region.RegionNumber == elem_tags[counter][0]:
region_ID_list_3D.append(each_region.MaterialName)
find = True
if not find:
error.physical_surface_not_defined(
str(each_region.RegionNumber), elem_tags[counter][0])
number_elements = len(elem_nodes_3D)
number_nodes = len(nodes_coordenates)
faces_ID = list()
faces_list = list()
plot_test_coord = list()
plot_test_field = list()
#%%Get source field
field_solution = list()
run_permanent_magnets = False
# Run Permanent Magnets
for each_region in regions_material:
for each in materials_lib[each_region.MaterialName].Hc:
if each != 0.0:
permanent_magnets.run_permanent_magnets(
preProcData, folder_path)
run_permanent_magnets = True
break
#Read the fields
if run_biot_savart or run_permanent_magnets:
results_folder = file_names.get_results_folder_name()
folder_name = os.path.join(folder_path, results_folder)
#Gauss points IDs
this_file_name = file_names.get_Gauss_points_ID_file_name()
full_path = os.path.join(folder_name, this_file_name)
points_IDs = np.genfromtxt(full_path,
delimiter=' ',
dtype='int',
usecols=(1, 2, 3, 4))
points_ID_elem_all = np.genfromtxt(full_path,
delimiter=' ',
dtype='int',
usecols=(0))
points_ID_elem = points_ID_elem_all - number_elements_2D
points_ID_elem = points_ID_elem.tolist()
points_ID_elem_all = points_ID_elem_all.tolist()
# Gauss points coordinates
this_file_name = file_names.get_Gauss_points_coordinates_file_name()
full_path = os.path.join(folder_name, this_file_name)
coordinates = np.genfromtxt(full_path, delimiter=' ', dtype='double')
# Fields
this_file_name = file_names.get_Gauss_points_H_field_file_name()
# this_file_name="H_source_FFEM.txt"
full_path = os.path.join(folder_name, this_file_name)
fields = np.genfromtxt(full_path, delimiter=' ', dtype='double')
for elem_counter in range(0, number_elements):
this_elem_type = elem_type_3D[elem_counter]
gauss_points = get_gauss_points_class.get_gauss_points(
this_elem_type)
number_integ_points = len(
get_gauss_points_class.get_gauss_points(this_elem_type))
this_points_field = list()
if elem_counter in points_ID_elem:
this_elem = points_ID_elem.index(elem_counter)
for k in points_IDs[this_elem].tolist():
Hxy = np.zeros((3, 1))
Hxy[0, 0] = fields[k, 0]
Hxy[1, 0] = fields[k, 1]
Hxy[2, 0] = fields[k, 2]
this_points_field.append(Hxy)
else:
for k in xrange(number_integ_points):
Hxy = np.zeros((3, 1))
this_points_field.append(Hxy)
field_solution.append(this_points_field)
run_external_circuit = False
if len(coupling) > 0:
run_external_circuit = True
#%%Creates the face list
print_message("Creating faces list")
for elem_counter in range(0, number_elements):
number_local_faces = shape_functions.get_number_faces(this_elem_type)
this_elem_type = elem_type_3D[elem_counter]
this_element_nodes = elem_nodes_3D[elem_counter]
faces_nodes_ID = shape_functions.get_nodes_ID_2_face(this_elem_type)
number_faces, nodes_per_face = faces_nodes_ID.shape
local_faces_ID = list()
for local_face_counter in range(0, number_faces):
nodes_list = list()
for node_counter in range(nodes_per_face):
node_ID = faces_nodes_ID[local_face_counter, node_counter]
nodes_list.append(this_element_nodes[node_ID])
local_faces_ID.append(
face.add_to_list(nodes_list, elem_counter, faces_list))
faces_ID.append(local_faces_ID)
print_message("Creating faces list - Done")
#%%Integration
print_message("Integration process")
num_meshed_rel = len(faces_list)
num_non_meshed_rel = len(external_reluctances)
num_total_rel = num_meshed_rel + num_non_meshed_rel
#sparse matrix
cols_rel_sparse = list()
rows_rel_sparse = list()
#reluctance matrix
diagonal = list()
for each_element_faces in faces_ID:
numbre_faces_this_element = len(each_element_faces)
for face_counter_1 in xrange(numbre_faces_this_element):
pos_1 = each_element_faces[face_counter_1]
for face_counter_2 in xrange(numbre_faces_this_element):
pos_2 = each_element_faces[face_counter_2]
if pos_1 == pos_2:
if pos_1 not in diagonal:
rows_rel_sparse.append(pos_1)
cols_rel_sparse.append(pos_2)
diagonal.append(pos_1)
else:
rows_rel_sparse.append(pos_1)
cols_rel_sparse.append(pos_2)
data_rel_sparse = np.zeros(len(rows_rel_sparse))
faces_rel_spare = csr_matrix(
(data_rel_sparse, (rows_rel_sparse, cols_rel_sparse)),
shape=(num_total_rel, num_total_rel))
#fmm matrix
cols_fmm_sparse = np.zeros(num_meshed_rel)
rows_fmm_sparse = xrange(0, num_meshed_rel)
data_fmm_sparse = np.zeros(num_meshed_rel)
fmm_sparse = csr_matrix(
(data_fmm_sparse, (rows_fmm_sparse, cols_fmm_sparse)),
shape=(num_total_rel, 1))
#source_flux matrix
cols_source_flux_sparse = np.zeros(num_meshed_rel)
rows_source_flux_sparse = xrange(0, num_meshed_rel)
data_source_flux_sparse = np.zeros(num_meshed_rel)
source_flux_sparse = csr_matrix(
(data_source_flux_sparse,
(rows_source_flux_sparse, cols_source_flux_sparse)),
shape=(num_total_rel, 1))
#grad_phi matrix
# cols_grad_phi_sparse=np.zeros(num_meshed_rel)
# rows_grad_phi_sparse=xrange(0,num_meshed_rel)
# data_grad_phi_sparse=np.zeros(num_meshed_rel)
# grad_phi_sparse=csr_matrix((data_grad_phi_sparse, (rows_grad_phi_sparse, cols_grad_phi_sparse)), shape=(num_total_rel,1))
this_elem_type = ""
plot_field = list()
plot_shape_functions = list()
# plot_test_coord=list()
BC_nodes = list()
BC_values = list()
for elem_counter in xrange(number_elements):
this_elem_type_changed = elem_type_3D[elem_counter]
if this_elem_type != this_elem_type_changed:
this_elem_type = this_elem_type_changed
gauss_points = get_gauss_points_class.get_gauss_points(
this_elem_type)
number_local_faces = shape_functions.get_number_faces(
this_elem_type)
number_integ_points = len(
get_gauss_points_class.get_gauss_points(this_elem_type))
wtri = get_gauss_points_class.get_integration_weight(
this_elem_type)
faces_ID_Elem = faces_ID[elem_counter]
this_element_nodes = elem_nodes_3D[elem_counter]
mur_r = materials_lib[region_ID_list_3D[elem_counter]].Permeability
mu_elem = vacuum.mu0 * mur_r
# x=nodes_coordenates[this_element_nodes[0]][1]
# Get W at reference element
w_local_this_element = list() #[gauss point][face]
for each_integ_point in xrange(number_integ_points):
#u,v,w coordinates
u = gauss_points[each_integ_point, 0]
v = gauss_points[each_integ_point, 1]
w = gauss_points[each_integ_point, 2]
# Shape functions @ reference element
w_local_this_point = shape_functions.get_facet_shape_function(
this_elem_type, u, v, w)
w_local_this_element.append(w_local_this_point)
# Shape functions @ real element for each face
w_real_all_points = list(
) # w_real_lista[0] contains the shape function of all points for face 0
#Boundary conditions
# Hxy=field_solution[elem_counter][each_integ_point]
# if Hxy[0,0]!=0 or Hxy[1,0]!=0 or Hxy[2,0]!=0:
# BC_nodes.append(elem_counter)
# BC_values.append(x)
# Face 0...Fn
#P0 W
#Pn
for face_counter in xrange(number_local_faces):
w_real_this_point = list()
for point_counter in range(0, number_integ_points):
w_local = w_local_this_element[point_counter][face_counter]
w_real = operations.convert_local_real_Piola(
this_elem_type, w_local[0, 0], w_local[0, 1],
w_local[0, 2], this_element_nodes, nodes_coordenates)
w_real_this_point.append(w_real)
w_real_all_points.append(w_real_this_point)
# Source fields
for local_face_counter in xrange(number_local_faces):
w_1 = copy.deepcopy(w_real_all_points[local_face_counter])
face_ID_1 = faces_ID_Elem[local_face_counter]
if faces_list[face_ID_1].elem_2 == elem_counter:
for each in w_1:
each = matrix_aux.invert_w(each)
elem_ID_all = elem_counter + number_elements_2D
# this_3D_ID=points_ID_elem_all.index(elem_ID_all)
# mmf source integration process
source = 0
this_face_nodes = faces_list[face_ID_1].nodes_list
#
#
this_elem = points_ID_elem.index(elem_counter)
this_gauss_points_ID = points_IDs[this_elem].tolist()
Hxy = np.zeros((3, 1))
for each_integ_point in xrange(number_integ_points):
if run_biot_savart or run_permanent_magnets:
# Hxy=field_solution[elem_counter][each_integ_point]
this_point_ID = this_gauss_points_ID[each_integ_point]
Hxy[0, 0] = fields[this_point_ID, 0]
Hxy[1, 0] = fields[this_point_ID, 1]
Hxy[2, 0] = fields[this_point_ID, 2]
if Hxy[0, 0] != 0 or Hxy[1, 0] != 0 or Hxy[2, 0] != 0:
w_1_this_point = w_1[each_integ_point]
#u,v,p coordinates
u = gauss_points[each_integ_point, 0]
v = gauss_points[each_integ_point, 1]
p = gauss_points[each_integ_point, 2]
w = w_1_this_point
plot_shape_functions.append(w)
plot_test_field.append(Hxy)
plot_test_coord.append(coordinates[this_point_ID])
# Jacobian
jac = operations.get_jacobian(this_elem_type,
this_element_nodes,
nodes_coordenates, u, v,
p)
det_jac = np.linalg.det(jac)
abs_det_jac = np.abs(det_jac)
#Integration
source = source + wtri * abs_det_jac * matrix_aux.dot_product(
w, Hxy)
fmm_sparse[face_ID_1, 0] = fmm_sparse[face_ID_1, 0] + source
# Relutances integration process
for local_face_counter_2 in xrange(number_local_faces):
w_2 = copy.deepcopy(w_real_all_points[local_face_counter_2])
face_ID_2 = faces_ID_Elem[local_face_counter_2]
if faces_list[face_ID_2].elem_2 == elem_counter:
for each in w_2:
each = matrix_aux.invert_w(each)
wtot = 0.0
for each_integ_point in range(0, number_integ_points):
u = gauss_points[each_integ_point, 0]
v = gauss_points[each_integ_point, 1]
p = gauss_points[each_integ_point, 2]
# Jacobian
jac = operations.get_jacobian(this_elem_type,
this_element_nodes,
nodes_coordenates, u, v, p)
det_jac = np.linalg.det(jac)
abs_det_jac = np.abs(det_jac)
# Reluctance
w_1_this_point = w_1[each_integ_point]
w_2_this_point = w_2[each_integ_point]
wtot = wtot + wtri * abs_det_jac * matrix_aux.dot_product(
w_1_this_point, w_2_this_point) / mu_elem
faces_rel_spare[face_ID_1, face_ID_2] += wtot
print_message("Integration process - Done")
#%% Connection between the physical line with the circuit node
print_message("External faces")
for counter, each_face in enumerate(faces_list):
if each_face.elem_2 == str_noflux_face:
for each_face_con in elem_2D_ID:
nodes_face_shared = all_elem_nodes_3D[each_face_con]
phys_line = elem_tags[each_face_con][0]
#Coupling with external reluctances
for each_coupling in coupling:
if each_coupling.PhysLine == phys_line:
bool_connect = True
for each_node_this_face in each_face.nodes_list:
if each_node_this_face not in nodes_face_shared:
bool_connect = False
if bool_connect:
# Redefine the face
new_face = Face(
each_face.nodes_list, each_face.elem_1,
each_coupling.Node + number_elements)
faces_list[counter] = new_face
each_coupling.Face_ID_List.append(counter)
#%% Insert the flux sources
# BC_nodes=list()
if run_surface_integral:
folder_name = os.path.join(folder_path, results_folder)
full_path = os.path.join(folder_name, "flux_surface.txt")
flux_data = np.genfromtxt(full_path, delimiter=' ', dtype='double')
flux_source = flux_data[:, 1]
flux_source_elem_ID = flux_data[:, 0]
num_faces_surface_integral = len(flux_source_elem_ID)
external_node_surface_ID_counter = 0
for face_counter in xrange(num_faces_surface_integral):
this_elem_face_ID = int(flux_source_elem_ID[face_counter])
this_face_nodes_elem = set(all_elem_nodes_3D[this_elem_face_ID])
for counter, each_face in enumerate(faces_list):
this_face_nodes = set(each_face.nodes_list)
if this_face_nodes_elem.issubset(this_face_nodes):
# print this_elem_face_ID
# external_node_surface_ID=len(coupling)+number_elements-1
# BC_nodes.append(external_node_surface_ID)
# external_node_surface_ID_counter+=1
new_face = Face(each_face.nodes_list, each_face.elem_1,
each_face.elem_2)
faces_list[counter] = new_face
source_flux_sparse[counter] = flux_source[face_counter]
faces_rel_spare[counter, counter] = 10000000000000000.0
fmm_sparse[counter, 0] = 0.0
# print each_face.elem_1
# break
# BC_values=[0]*len(BC_nodes)
#%% Delete the faces without external connections
faces_ID_deleted_list = list()
faces_deleted_list = list()
#Delete from reluctances and fmm matrix
counter = 0
for face_counter in xrange(len(faces_list)):
if faces_list[face_counter].elem_2 == str_noflux_face:
faces_ID_deleted_list.append(face_counter)
faces_rel_spare = matrix_aux.delete_sparse_mask(faces_rel_spare,
faces_ID_deleted_list, 0)
faces_rel_spare = matrix_aux.delete_sparse_mask(faces_rel_spare,
faces_ID_deleted_list, 1)
fmm_sparse = matrix_aux.delete_sparse_mask(fmm_sparse,
faces_ID_deleted_list, 0)
source_flux_sparse = matrix_aux.delete_sparse_mask(source_flux_sparse,
faces_ID_deleted_list,
0)
##Delete from faces_list
counter = 0
for each in faces_ID_deleted_list:
face_ID = each + counter
this_face = faces_list[face_ID]
faces_list.remove(this_face)
faces_deleted_list.append(this_face)
counter -= 1
#%% Add the external circuit reluctances
number_deleted = len(faces_deleted_list)
for counter in xrange(num_non_meshed_rel):
#reluctance value
material = external_reluctances[counter].Material
mur = materials_lib[material].Permeability
LS = external_reluctances[counter].LS
mu_elem = vacuum.mu0 * mur
reluctance_value = LS / mu_elem
this_position = num_meshed_rel - number_deleted + counter
faces_rel_spare[this_position, this_position] = reluctance_value
fmm_sparse[this_position] = external_reluctances[counter].fmm
source_flux_sparse[this_position] = external_reluctances[counter].flux
external_nodes_list = list()
for each in external_reluctances:
#Get the list of external nodes
if each.node_from not in external_nodes_list:
external_nodes_list.append(each.node_from)
if each.node_to not in external_nodes_list:
external_nodes_list.append(each.node_to)
#create a new face in the faces_list
new_face = Face([], each.node_from + number_elements,
each.node_to + number_elements)
faces_list.append(new_face)
#Get the list of external nodes
for each in coupling:
if each.Node not in external_nodes_list:
external_nodes_list.append(each.Node)
print_message("External faces - Done")
#%% Incidence matrix
print_message("Incidence matrix")
external_nodes = 0
if run_external_circuit:
external_nodes += len(external_nodes_list)
# elif run_surface_integral:
# external_nodes+=len(BC_nodes)
else:
external_nodes += 0
number_faces_list = len(faces_list)
total_nodes = number_elements + external_nodes
rows_incidence_sparse = list()
cols_incidence_sparse = list()
data_incidence_sparse = list()
for counter in xrange(number_faces_list):
this_face = faces_list[counter]
rows_incidence_sparse.append(this_face.elem_1)
cols_incidence_sparse.append(counter)
data_incidence_sparse.append(1.0)
rows_incidence_sparse.append(this_face.elem_2)
cols_incidence_sparse.append(counter)
data_incidence_sparse.append(-1.0)
incidence_matrix_sparse = csr_matrix(
(data_incidence_sparse,
(rows_incidence_sparse, cols_incidence_sparse)),
shape=(total_nodes, number_faces_list))
print_message("Incidence matrix - Done")
#%%Plot test fields
Gmsh_file_name = "test_H_field.txt"
path = os.path.join(results_path, Gmsh_file_name)
Create_Vector_field(plot_test_coord, plot_test_field, path, "H test")
Gmsh_file_name = "test_W.txt"
path = os.path.join(results_path, Gmsh_file_name)
Create_Vector_field(plot_test_coord, plot_shape_functions, path,
"Shape function")
print_message("Saving matrices")
np.save(os.path.join(results_path, "faces_rel_spare_algo"),
faces_rel_spare.toarray())
np.save(os.path.join(results_path, "fmm_sparse_algol"),
fmm_sparse.toarray())
np.save(os.path.join(results_path, "incidence_matrix_algo"),
incidence_matrix_sparse.toarray())
print_message("Saving matrices: Done")
return faces_rel_spare, incidence_matrix_sparse, fmm_sparse, source_flux_sparse, faces_ID, results_path, faces_ID_deleted_list, faces_list, faces_deleted_list, BC_nodes, BC_values
def Get_Gauss_points_list(preProcData, does_write_file, folder_path):
'''
Get the coordinates of the Guass points for all elements\n
Return: list(array with the coordinates)\n
PreProcData: The data from pre processing\n
does_write_file: boolean. True: write the files containing the results\n
folder_path: directory of the folder to write the file
'''
#==============================================================================
# Pre-processor
mesh_data = preProcData.MeshData
all_elem_nodes = mesh_data.ElemNodes
nodes_coordenates = mesh_data.NodesCoordenates
elem_tags = mesh_data.ElemTags
elem_type = mesh_data.ElemType
gauss_points = GaussPoints()
oper = Operations()
number_elements = len(elem_tags)
start_3D = 0
number_gauss_points = 0
max_number_points = 0
for kl in xrange(number_elements):
if elem_type[kl] <= 3:
start_3D += 1
else:
this_gauss_points = gauss_points.get_gauss_points(elem_type[kl])
number_gauss_points += float(this_gauss_points.shape[0])
number_gauss_points_element = float(this_gauss_points.shape[1])
if number_gauss_points_element > max_number_points:
max_number_points = number_gauss_points_element
gauss_points_coordinates = np.zeros(
(number_gauss_points, max_number_points))
point_counter = 0
points_ID_list = list()
phys_region_list = list()
for kl in range(start_3D, number_elements):
integPoints = gauss_points.get_gauss_points(elem_type[kl])
numnodes = integPoints.shape[0]
nodes = []
for eachnode in xrange(numnodes):
nodes.append(all_elem_nodes[kl][eachnode])
elem_points_ID = list()
elem_points_ID.append(kl)
for integPoint in range(0, numnodes):
u = integPoints[integPoint, 0]
v = integPoints[integPoint, 1]
p = integPoints[integPoint, 2]
XYZ = oper.convert_local_real(elem_type[kl], u, v, p, nodes,
nodes_coordenates)
gauss_points_coordinates[point_counter][0] = XYZ[0]
gauss_points_coordinates[point_counter][1] = XYZ[1]
gauss_points_coordinates[point_counter][2] = XYZ[2]
phys_region_list.append(elem_tags[kl][0])
point_counter += 1
elem_points_ID.append(int(point_counter - 1))
points_ID_list.append(elem_points_ID)
#==============================================================================
# Folder results path
file_names = File_names()
results_folder = file_names.get_results_folder_name()
results_path = os.path.join(folder_path, results_folder)
path = os.path.join(results_path,
file_names.get_Gauss_points_list_file_name())
path_IDs = os.path.join(results_path,
file_names.get_Gauss_Points_ID_file_name())
path_Phys = os.path.join(
results_path, file_names.get_Gauss_Points_Phys_region_file_name())
write_numeric_file_numpy(path_Phys, phys_region_list)
write_numeric_file_numpy(path, gauss_points_coordinates)
write_numeric_file_numpy(path_IDs, points_ID_list)
return gauss_points_coordinates, phys_region_list, points_ID_list
def integrate_energy(pre_proc_data, results_path):
#Instances
operations = Operations()
mesh_data = pre_proc_data.MeshData
get_gauss_points_class = GaussPoints()
file_names = File_names()
regions_material = pre_proc_data.RegionMaterial
#Mesh data
nodes_coordenates = mesh_data.NodesCoordenates
elem_tags = mesh_data.ElemTags
elem_type = mesh_data.ElemType
elem_nodes = mesh_data.ElemNodes
number_elements = len(elem_tags)
xy_plot = list()
field = list()
#Reads flux file
flux_results_file_name = file_names.flux_results_file_name()
full_path = os.path.join(results_path, flux_results_file_name)
new_flux = read_numeric_file_numpy(full_path)
#Read faces_ID
faces_ID_file_name = file_names.get_faces_ID_file_name()
full_path = os.path.join(results_path, faces_ID_file_name)
data = get_data_from_file(full_path)
faces_ID = get_file_block("$faces_ID", "$Endfaces_ID", 0, data, int)
#Read faces_from_to
from_to_file_name = file_names.faces_from_to_file_name()
full_path = os.path.join(results_path, from_to_file_name)
faces_from_to = read_numeric_file_numpy(full_path)
mu0 = 4.0 * math.pi * math.pow(10.0, -7.0)
materials_lib = get_materials_lib()
#Get the magnetic induction, based on the 3D elements interpolation
energy = 0
counter = -1
for elem_counter_3D in xrange(number_elements):
this_elem_type_3D = elem_type[elem_counter_3D]
nodes_list_3D = mesh_data.ElemNodes[elem_counter_3D]
gauss_points = get_gauss_points_class.get_gauss_points(
this_elem_type_3D)
num_gauss_points = len(gauss_points)
if this_elem_type_3D == 4:
counter = counter + 1
material_name = ""
for each_region in regions_material:
if each_region.RegionNumber == elem_tags[elem_counter_3D][0]:
material_name = each_region.MaterialName
mur_r = materials_lib[material_name].Permeability
mu_elem = mu0 * mur_r
wtri = get_gauss_points_class.get_integration_weight(
this_elem_type_3D)
for each_integ_point in xrange(num_gauss_points):
u = gauss_points[each_integ_point, 0]
v = gauss_points[each_integ_point, 1]
p = gauss_points[each_integ_point, 2]
b_at_point = get_B_vector_point_uvp(u, v, p, elem_counter_3D,
counter, elem_type,
elem_nodes, faces_ID,
nodes_coordenates,
new_flux, faces_from_to)
# b_at_point=np.array([b_at_point[0,0],b_at_point[1,0],b_at_point[2,0]])
# Jacobian
jac = operations.get_jacobian(this_elem_type_3D, nodes_list_3D,
nodes_coordenates, u, v, p)
det_jac = np.linalg.det(jac)
abs_det_jac = np.abs(det_jac)
# Element energy
energy = energy + 0.5 * (
1.0 /
mu_elem) * wtri * abs_det_jac * matrix_aux.dot_product(
b_at_point, b_at_point)
# Gmsh_file_name=file_names.get_B_Gmsh_surface_file_name()
# path=os.path.join(results_path,Gmsh_file_name)
# Create_Vector_field(xy_plot,field,path,"B Vector")
return energy
def Create_B_vector_plot(mesh_data, results_path, tags_plot):
#Instances
file_names = File_names()
get_gauss_points_class = GaussPoints()
#Reads flux file
flux_results_file_name = file_names.flux_results_file_name()
full_path = os.path.join(results_path, flux_results_file_name)
new_flux = read_numeric_file_numpy(full_path)
#Read faces_ID
faces_ID_file_name = file_names.get_faces_ID_file_name()
full_path = os.path.join(results_path, faces_ID_file_name)
data = get_data_from_file(full_path)
faces_ID = get_file_block("$faces_ID", "$Endfaces_ID", 0, data, int)
#Read faces_from_to
from_to_file_name = file_names.faces_from_to_file_name()
full_path = os.path.join(results_path, from_to_file_name)
faces_from_to = read_numeric_file_numpy(full_path)
# Mesh data
nodes_coordenates = mesh_data.NodesCoordenates
elem_tags = mesh_data.ElemTags
elem_type = mesh_data.ElemType
elem_nodes = mesh_data.ElemNodes
B_list = list()
xy_plot = list()
number_elements = len(elem_tags)
operations = Operations()
elements_3D_counter = 0
for elem_counter in range(0, number_elements):
run_this_element = False
if tags_plot == "all" or elem_tags[elem_counter][0] in tags_plot:
run_this_element = True
if run_this_element and elem_type[elem_counter] > 3:
this_elem_type = elem_type[elem_counter]
# gauss_points=get_gauss_points_class.get_gauss_points(this_elem_type)
gauss_points = get_gauss_points_class.get_local_element_center_point(
this_elem_type)
# number_integ_points=len(gauss_points)
number_integ_points = 1
this_element_nodes = elem_nodes[elem_counter]
for each_integ_point in range(0, number_integ_points):
u = gauss_points[each_integ_point, 0]
v = gauss_points[each_integ_point, 1]
p = gauss_points[each_integ_point, 2]
xy_coord = operations.convert_local_real(
this_elem_type, u, v, p, this_element_nodes,
nodes_coordenates)
xy_plot.append(xy_coord)
b_at_point = get_B_vector_point_uvp(u, v, p, elem_counter,
elements_3D_counter,
elem_type, elem_nodes,
faces_ID,
nodes_coordenates,
new_flux, faces_from_to)
B_list.append(
np.array(
[b_at_point[0, 0], b_at_point[1, 0], b_at_point[2,
0]]))
elements_3D_counter += 1
Gmsh_file_name = file_names.get_Gmsh_B_field_file_name()
path = os.path.join(results_path, Gmsh_file_name)
Create_Vector_field(xy_plot, B_list, path, "B Vector")
def integrate_B_surface(pre_proc_data, face_phys_ID, vol_phys_ID,
results_path):
#Instances
operations = Operations()
mesh_data = pre_proc_data.MeshData
get_gauss_points_class = GaussPoints()
file_names = File_names()
#Mesh data
nodes_coordenates = mesh_data.NodesCoordenates
elem_tags = mesh_data.ElemTags
elem_type = mesh_data.ElemType
elem_nodes = mesh_data.ElemNodes
number_elements = len(elem_tags)
xy_plot = list()
field = list()
#Reads flux file
flux_results_file_name = file_names.flux_results_file_name()
full_path = os.path.join(results_path, flux_results_file_name)
new_flux = read_numeric_file_numpy(full_path)
#Read faces_ID
faces_ID_file_name = file_names.get_faces_ID_file_name()
full_path = os.path.join(results_path, faces_ID_file_name)
data = get_data_from_file(full_path)
faces_ID = get_file_block("$faces_ID", "$Endfaces_ID", 0, data, int)
#Read faces_from_to
from_to_file_name = file_names.faces_from_to_file_name()
full_path = os.path.join(results_path, from_to_file_name)
faces_from_to = read_numeric_file_numpy(full_path)
flux = 0
for elem_counter in xrange(number_elements):
this_elem_type = elem_type[elem_counter]
if this_elem_type == 2 and elem_tags[elem_counter][0] == face_phys_ID:
nodes_list_2D = mesh_data.ElemNodes[elem_counter]
gauss_points = get_gauss_points_class.get_gauss_points(
this_elem_type)
num_gauss_points = len(gauss_points)
#Area and normal vector of the 2D element
node1 = elem_nodes[elem_counter][0]
node2 = elem_nodes[elem_counter][1]
node3 = elem_nodes[elem_counter][2]
P1 = np.array([
nodes_coordenates[node1][0], nodes_coordenates[node1][1],
nodes_coordenates[node1][2]
])
P2 = np.array([
nodes_coordenates[node2][0], nodes_coordenates[node2][1],
nodes_coordenates[node2][2]
])
P3 = np.array([
nodes_coordenates[node3][0], nodes_coordenates[node3][1],
nodes_coordenates[node3][2]
])
A = P2 - P1
B = P3 - P1
AxB = np.cross(A, B)
nor = linalg.norm(AxB)
n = AxB / nor
area = 0.5 * nor
#Get the real coordinates of the 2D element Gauss points
xy_local = list()
for each_integ_point in xrange(num_gauss_points):
xyz = operations.convert_local_real(
this_elem_type, gauss_points[each_integ_point, 0],
gauss_points[each_integ_point,
1], 0, nodes_list_2D, nodes_coordenates)
xy_local.append(xyz)
#Get the magnetic induction, based on the 3D elements interpolation
counter = -1
B_list = list()
for elem_counter_3D in xrange(number_elements):
this_elem_type_3D = elem_type[elem_counter_3D]
nodes_list_3D = mesh_data.ElemNodes[elem_counter_3D]
if this_elem_type_3D == 4:
counter = counter + 1
if elem_tags[elem_counter_3D][0] == vol_phys_ID and set(
nodes_list_2D) < set(nodes_list_3D):
for xyz in xy_local:
#Convert the real coordinates of the 2D element into local coordinates
uvp = operations.convert_real_to_local(
elem_counter_3D, this_elem_type_3D, xyz[0],
xyz[1], xyz[2], nodes_list_3D,
nodes_coordenates)
xy_plot.append(xyz)
b_at_point = get_B_vector_point_uvp(
uvp[0], uvp[1], uvp[2], elem_counter_3D,
counter, elem_type, elem_nodes, faces_ID,
nodes_coordenates, new_flux, faces_from_to)
b_at_point = np.array([
b_at_point[0, 0], b_at_point[1, 0],
b_at_point[2, 0]
])
field.append(b_at_point)
B_list.append(b_at_point)
break
#Integration process
for each_integ_point in xrange(num_gauss_points):
B = B_list[each_integ_point].dot(n)
flux = flux + B * area / 3.0
Gmsh_file_name = file_names.get_B_Gmsh_surface_file_name()
path = os.path.join(results_path, Gmsh_file_name)
Create_Vector_field(xy_plot, field, path, "B Vector")
return flux
def interpolated_along_line(vol_phys_ID, xyz_list, pre_proc_data,
results_path):
operations = Operations()
mesh_data = pre_proc_data.MeshData
get_gauss_points_class = GaussPoints()
shape_functions = ShapeFuncions()
file_names = File_names()
#Mesh data
nodes_coordenates = mesh_data.NodesCoordenates
elem_tags = mesh_data.ElemTags
elem_type = mesh_data.ElemType
elem_nodes = mesh_data.ElemNodes
number_elements = len(elem_tags)
xy_plot = list()
field = list()
#Reads flux file
flux_results_file_name = file_names.flux_results_file_name()
full_path = os.path.join(results_path, flux_results_file_name)
new_flux = read_numeric_file_numpy(full_path)
#Read faces_ID
faces_ID_file_name = file_names.get_faces_ID_file_name()
full_path = os.path.join(results_path, faces_ID_file_name)
data = get_data_from_file(full_path)
faces_ID = get_file_block("$faces_ID", "$Endfaces_ID", 0, data, int)
#Read faces_from_to
from_to_file_name = file_names.faces_from_to_file_name()
full_path = os.path.join(results_path, from_to_file_name)
faces_from_to = read_numeric_file_numpy(full_path)
for xyz in xyz_list:
counter = -1
this_element = False
for elem_counter in range(0, number_elements):
this_elem_type = elem_type[elem_counter]
if this_elem_type == 4:
counter = counter + 1
if elem_tags[elem_counter][0] in vol_phys_ID:
nodes_list = mesh_data.ElemNodes[elem_counter]
uvp = operations.convert_real_to_local(
elem_counter, this_elem_type, xyz[0], xyz[1], xyz[2],
nodes_list, nodes_coordenates)
N = shape_functions.get_node_shape_function(
this_elem_type, uvp[0], uvp[1], uvp[2])
if max(N) <= 1.0 and min(N) >= 0.0:
this_element = True
break
if this_element:
b_at_point = get_B_vector_point_uvp(uvp[0], uvp[1], uvp[2],
elem_counter, counter,
elem_type, elem_nodes,
faces_ID, nodes_coordenates,
new_flux, faces_from_to)
b_at_point = np.array(
[b_at_point[0, 0], b_at_point[1, 0], b_at_point[2, 0]])
field.append(b_at_point)
else:
b_at_point = np.array([0.0, 0.0, 0.0])
field.append(b_at_point)
Gmsh_file_name = file_names.get_B_Gmsh_line_file_name()
path = os.path.join(results_path, Gmsh_file_name)
Create_Vector_field(xyz_list, field, path, "B Vector")
Gmsh_file_name = "line_field.txt"
path = os.path.join(results_path, Gmsh_file_name)
write_numeric_file_numpy(path, field)
