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 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)
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)
