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 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)
#%% Instances and geral definitions
aux_RNM=AuxMethodsRNM()
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
open_circuit_reluctance=global_variables.magnetic_open_circuit_reluctance
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 source field
#Run Biot-Savart
run_biot_savart=False
# for eachregion in regions_excitation:
# if eachregion.Value != 0.0:
# field_solution=Biot_Savart.run_Biot_Savart(setup_file_name,mesh_file_name,folder_path)
# run_biot_savart=True
# break
# Run Permanent Magnets
run_permanent_magnets=False
for each_region in regions_material:
for each in materials_lib[each_region.MaterialName].Hc:
if each !=0.0:
field_solution=permanent_magnets.run_permanent_magnets(preProcData,folder_path)
run_permanent_magnets=True
break
#Read the file
if run_biot_savart or run_permanent_magnets:
(H_field,H_field_elem_nodes_3D)=get_Field_solution(os.path.join(results_path,file_names.get_H_results_file_name()))
run_external_circuit=False
if len(coupling)>0:
run_external_circuit=True
#%% 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()
#%%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 faces_list[pos_1].elem_2!=str_noflux_face and faces_list[pos_1].elem_2!=str_noflux_face:
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_meshed_rel, num_meshed_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_meshed_rel,1))
faces_rel_matrix=np.zeros((num_meshed_rel,num_meshed_rel))
faces_fmm_matrix=np.zeros((num_meshed_rel,1))
xy_integ_points_list=list()
W_integ_points_list=list()
this_elem_type=""
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]
mu_elem=vacuum.mu0*materials_lib[region_ID_list_3D[elem_counter]].Permeability
# 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
# 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
if run_biot_savart or run_permanent_magnets:
H_points=H_field_elem_nodes_3D[elem_counter]
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=aux_RNM.invert_w(each)
# mmf source integration process
source=0
for each_integ_point in xrange(number_integ_points):
w_1_this_point=w_1[each_integ_point]
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
xy_coord=operations.convert_local_real(this_elem_type,u,v,p,this_element_nodes,nodes_coordenates)
xy_integ_points_list.append(xy_coord)
W_integ_points_list.append(w)
if run_biot_savart or run_permanent_magnets:
H_point=H_points[each_integ_point]
Hx=H_field[H_point][0]
Hy=H_field[H_point][1]
Hz=H_field[H_point][2]
if (Hx!=0) or (Hy!=0) or (Hz!=0) :
Hxy=np.array([[Hx],
[Hy],
[Hz]])
# Jacobian
jac=operations.get_jacobian(this_elem_type,this_element_nodes,nodes_coordenates,u,v)
det_jac=np.linalg.det(jac)
abs_det_jac=np.abs(det_jac)
source=source+wtri*abs_det_jac*aux_RNM.dot_product(w,Hxy)
aux_RNM.fmm_matrix_control(face_ID_1,faces_fmm_matrix,source,False,faces_list,str_noflux_face)
aux_RNM.fmm_matrix_control(face_ID_1,fmm_sparse,source,False,faces_list,str_noflux_face)
fmm_sparse
# 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=aux_RNM.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*aux_RNM.dot_product(w_1_this_point,w_2_this_point)/mu_elem
aux_RNM.reluctance_matrix_control(face_ID_1,face_ID_2,faces_rel_matrix,wtot,False,faces_list,str_noflux_face)
aux_RNM.reluctance_matrix_control(face_ID_1,face_ID_2,faces_rel_spare,wtot,False,faces_list,str_noflux_face)
print_message("Integration process - Done")
# Connection between the physical line with the circuit node
print_message("External faces")
magnetic_short_circuit_reluctance=global_variables.magnetic_short_circuit_reluctance
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]
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)
#Set the reluctance as a magnetic short circuit
# aux_RNM.reluctance_matrix_control(counter,counter,faces_rel_spare,magnetic_short_circuit_reluctance,False)
#%% Delete the faces without external connections
faces_ID_deleted_list=list()
faces_deleted_list=list()
counter=0
#Delete from reluctances and fmm matrix
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_matrix=np.delete(faces_rel_matrix, faces_ID_deleted_list, axis=0)
faces_rel_matrix=np.delete(faces_rel_matrix, faces_ID_deleted_list, axis=1)
faces_fmm_matrix=np.delete(faces_fmm_matrix, faces_ID_deleted_list, axis=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
external_nodes_list=list()
rows,cols=faces_rel_matrix.shape
for each in external_reluctances:
mu_elem=vacuum.mu0*materials_lib[each.Material].Permeability
#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)
#add the reluctance in the matrix system
row_matrix=np.zeros((1,cols))
faces_rel_matrix=np.vstack((faces_rel_matrix,row_matrix))
rows+=1
col_matrix=np.zeros((rows,1))
faces_rel_matrix=np.hstack((faces_rel_matrix,col_matrix))
cols+=1
faces_fmm_matrix=np.vstack((faces_fmm_matrix,each.fmm))
#reluctance value
reluctance_value=each.LS/mu_elem
faces_rel_matrix[rows-1,cols-1]=reluctance_value
#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)
else:
external_nodes+=0
total_nodes=number_elements+external_nodes
incidence_matrix=np.zeros((total_nodes,len(faces_list)))
for counter,each_face in enumerate(faces_list):
if each_face.elem_2!=str_noflux_face:
incidence_matrix[each_face.elem_1,counter]=1
incidence_matrix[each_face.elem_2,counter]=-1
else:
incidence_matrix[each_face.elem_1,counter]=1
incidence_matrix[total_nodes-1,counter]=-1
print_message("Incidence matrix - Done")
return faces_ID,results_path,faces_rel_matrix,incidence_matrix,faces_fmm_matrix,faces_ID_deleted_list,faces_list,faces_deleted_list
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()
startTri=0
for k in range (0,len(elem_tags)):
if elem_type[k]==1:
startTri+=1
global_integ_points_coordinates=[]
for kl in range (startTri,len(elem_tags)):
#==============================================================================
# Nodes coordinates
nodes=[]
integPoints=[]
integPoints=gauss_points.get_gauss_points(elem_type[kl])
numnodes=len(integPoints)
for eachnode in range(0,numnodes):
nodes.append(all_elem_nodes[kl][eachnode])
#------------------------------------------------------------------------------
# Get the real coordinates based on Gauss integration Points
local_integ_points_coordinates=[]
for integPoint in range(0,numnodes):
u=integPoints[integPoint,0]
v= integPoints[integPoint,1]
XY=oper.convert_local_real(elem_type[kl],u,v,nodes,nodes_coordenates)
num_points=np.shape(XY)[0]
if num_points==2:
XY_3D=np.zeros((3))
XY_3D[0]=XY[0]
XY_3D[1]=XY[1]
XY_3D[2]=0.0
else:
XY_3D=XY
local_integ_points_coordinates.append(XY_3D)
global_integ_points_coordinates.append(local_integ_points_coordinates)
#==============================================================================
# Folder results path
file_names=File_names()
results_folder=file_names.get_results_folder_name()
results_path=os.path.join(folder_path,results_folder)
#==============================================================================
# Write to file
if does_write_file:
lines=list()
for each_element in global_integ_points_coordinates:
line=list()
for each_point in each_element:
for k in range(0,len(each_point)):
line.append(each_point[k])
lines.append(line)
path=os.path.join(results_path,file_names.get_Gauss_points_list_file_name())
write_file(path,lines,"GaussPoints",True)
return global_integ_points_coordinates
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=aux_RNM.invert_w(each)
# mmf source integration process
source=0
for each_integ_point in range(0,number_integ_points):
w_1_this_point=w_1[each_integ_point]
u=gauss_points[each_integ_point,0]
v=gauss_points[each_integ_point,1]
w=w_1_this_point
xy_coord=operations.convert_local_real(this_elem_type,u,v,this_element_nodes,nodes_coordenates)
xy_integ_points_list.append(xy_coord)
W_integ_points_list.append(w)
if run_biot_savart or run_permanent_magnets:
H_point=H_points[each_integ_point]
Hx=H_field[H_point][0]
Hy=H_field[H_point][1]
if (Hx!=0) or (Hy!=0):
Hxy=np.array([[Hx],
[Hy]])
# Jacobian
jac=operations.get_jacobian(this_elem_type,this_element_nodes,nodes_coordenates,u,v)
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 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 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 Create_B_vector_plot(
elem_tags_2D, tags_plot, elem_type_2D, faces_ID, new_flux, results_path, elem_nodes, nodes_coordenates, faces_list
):
"""
"""
file_names = File_names()
B_list = list()
xy_plot = list()
get_gauss_points_class = GaussPoints()
shape_functions = ShapeFuncions()
number_elements = len(elem_type_2D)
operations = Operations()
for elem_counter in range(0, number_elements):
run_this_element = False
if tags_plot == "all":
run_this_element = True
else:
if elem_tags_2D[elem_counter][0] in tags_plot:
run_this_element = True
if run_this_element:
this_elem_type = elem_type_2D[elem_counter]
number_local_faces = shape_functions.get_number_faces(this_elem_type)
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 = 1
# number_integ_points=len(gauss_points)
this_element_nodes = elem_nodes[elem_counter]
faces_ID_Elem = faces_ID[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]
xy_coord = operations.convert_local_real(this_elem_type, u, v, this_element_nodes, nodes_coordenates)
xy_plot.append(xy_coord)
w_local_this_point = shape_functions.get_face_shape_function(this_elem_type, u, v)
b_at_point = 0
for local_face_counter in range(0, number_local_faces):
face_ID = faces_ID_Elem[local_face_counter]
w_local_1 = w_local_this_point[local_face_counter]
w_real = operations.convert_local_real_Piola(
this_elem_type, w_local_1[0, 0], w_local_1[0, 1], this_element_nodes, nodes_coordenates
)
flux_at_face = new_flux[face_ID]
# if flux_at_face<0:
# flux_at_face=-flux_at_face
if faces_list[face_ID].elem_2 == elem_counter:
# w_real=aux_RNM.invert_w(w_real)
flux_at_face = -flux_at_face
b_at_point += flux_at_face * w_real
B_list.append(np.array([b_at_point[0, 0], b_at_point[1, 0]]))
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")
