def run_Biot_Savart(setupFileName,meshFileName,folder_path):
'''
Runs the Biot-Savart method\n
setupFileName: setup file name\n
meshFileName: file name of the mesh\n
folder_path: path of solution folder\n
example:\n
field_solution=Biot_Savart.run_Biot_Savart(setup_file_name,mesh_file_name,folder_path)
'''
print("Running Biot-Savart law")
#===============================================================================
# Pre Processing
#===============================================================================
preProcData= get_preproc_data(meshFileName, setupFileName)
integ_gauss_points_coordinates=Get_Gauss_points_list(preProcData,True,folder_path)
#===============================================================================
# Initial data
#===============================================================================
# Setup
regions_excitation=preProcData.RegionExcitation
#------------------------------------------------------------------------------
# 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
operations=Operations()
global_nodes=list()
counter=0
global_values=list()
for each_elem in integ_gauss_points_coordinates:
local=list()
for each_point in each_elem:
local.append(np.array([0,0,0]))
global_values.append(local)
for elem_counter, each_element in enumerate(all_elem_nodes):
if elem_type[elem_counter]>1:
I=0
for eachregion in regions_excitation:
if eachregion.RegionNumber==elem_tags[elem_counter][0]:
Js=eachregion.Value
element_area=operations.get_area_element(elem_type[elem_counter],all_elem_nodes[elem_counter],nodes_coordenates)
I=math.fabs(Js*element_area)
break
if I!=0:
dl=np.array([0,0,Js/math.fabs(Js)])
#baricenter of the element with current density
xbar=0
ybar=0
zbar=0
nodes=all_elem_nodes[elem_counter]
for nodeCounter in range(0,len(nodes)):
xbar=nodes_coordenates[nodes[nodeCounter]][0]+xbar
ybar=nodes_coordenates[nodes[nodeCounter]][1]+ybar
zbar=nodes_coordenates[nodes[nodeCounter]][2]+zbar
num_nodes=len(nodes)
baricenter_coordinates=np.array([xbar/num_nodes,ybar/num_nodes,zbar/num_nodes])
local=list()
for elem_inner_counter, inner_elem_coodinates in enumerate(integ_gauss_points_coordinates):
for node_counter,each_node in enumerate(inner_elem_coodinates):
r= each_node-baricenter_coordinates
abs_r=LA.norm(r)
#==============================================================================
# Biot_savart equation
#==============================================================================
H_field=I*(1.0/(2.0*math.pi))*np.cross(dl,r)/math.pow(abs_r,2)
global_values[elem_inner_counter][node_counter]=global_values[elem_inner_counter][node_counter]+H_field
#List containing all the integration points coordinates
points_list=list()
counter=0
for each_elem in integ_gauss_points_coordinates:
local=list()
local_nodes=list()
for each_point in each_elem:
local.append(counter)
points_list.append(each_point)
local_nodes.append(counter)
counter+=1
global_nodes.append(local_nodes)
# 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 file with the results
integPOintResults=list()
for each_element in global_values:
for each in each_element:
integPOintResults.append(each)
counter=0
h_field_results_file_name=file_names.get_H_results_file_name()
full_path=os.path.join(results_path,h_field_results_file_name)
write_numeric_data_file(full_path,integPOintResults,"HResults",True)
# Write file with the points numbering
global_list=list()
for eachw in global_nodes:
local=list()
for each in eachw:
local.append(each)
global_list.append(local)
h_field_results_file_name=file_names.get_H_results_file_name()
full_path=os.path.join(results_path,h_field_results_file_name)
write_numeric_data_file(full_path,global_list,"Points",False)
#==============================================================================
# GMSH post processing
Gmsh_file_name=file_names.get_H_Gmsh_pos_proc_file_name()
path=os.path.join(results_path,Gmsh_file_name)
Create_Vector_field(points_list,integPOintResults,path,"H vector")
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
#folder_path=os.path.normpath(os.path.join(tests_folder,'16_Atuador_enrolamento_quad\\01_FFEM')) #setup_file='setup.txt' #mesh_file='rele.msh' #folder_path=os.path.normpath(os.path.join(tests_folder,'10_Test_Biot_Savart\Geometria_Quad')) #setup_file='setup.txt' #mesh_file='geometria.msh' #folder_path=os.path.normpath(os.path.join(tests_folder,'13_Elem_Quad')) #setup_file='setup.txt' #mesh_file='model.msh' #%% Instances and geral definitions file_names=File_names() 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() #%% Directories settings
for v in frange(v_start,v_end,dv):
bool_run=False
if elem_type==2:
if u<1.00001-v:
bool_run=True
if elem_type==3:
bool_run=True
if bool_run:
N=shape_functions.get_face_shape_function(elem_type,u,v)
# print(N)
Wuv=np.zeros((2,1))
Wuv[0,0]=N[whichFace,0]
Wuv[1,0]=N[whichFace,1]
uv=np.zeros((2,1))
uv[0,0]=u
uv[1,0]=v
xy_plot.append(uv)
B_list.append(Wuv)
#===============================================================================
# PLot
file_names=File_names()
results_folder=file_names.get_results_folder_name()
results_path=os.path.join(folder_path,results_folder)
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,"W face")
def run_permanent_magnets(preProcData, folder_path):
print("Running permanent magnetic field solution")
#===============================================================================
# Initial data
#===============================================================================
#------------------------------------------------------------------------------
# Pre-processor
mesh_data=preProcData.MeshData
all_elem_nodes= mesh_data.ElemNodes
elem_tags=mesh_data.ElemTags
regions_material=preProcData.RegionMaterial
materials_lib=get_materials_lib()
elem_type=mesh_data.ElemType
region_ID_list=list()
counter=0
for elem_counter in range(0,len(all_elem_nodes)):
if elem_type[elem_counter]>1:
for each_region in regions_material:
if each_region.RegionNumber==elem_tags[counter][0]:
region_ID_list.append(each_region.MaterialName)
counter+=1
integ_gauss_points_coordinates=Get_Gauss_points_list(preProcData,True,folder_path)
global_Hc_list=list()
for elem_counter, each_element in enumerate(region_ID_list):
local_Hc=list()
for integ_point in range(0,len(integ_gauss_points_coordinates[elem_counter])):
local_Hc.append(materials_lib[each_element].Hc)
global_Hc_list.append(local_Hc)
Hc_points_list=list()
for each_element in global_Hc_list:
for each_point in each_element:
Hc_points_list.append((each_point))
points_list=list()
global_nodes=list()
counter=0
for each_elem in integ_gauss_points_coordinates:
local=list()
for each_point in each_elem:
local.append(counter)
counter+=1
points_list.append(each_point)
global_nodes.append(local)
#==============================================================================
# Folder results path
file_names=File_names()
results_folder=file_names.get_results_folder_name()
folder_path=os.path.join(folder_path,results_folder)
#==============================================================================
# Write file with the results
file_names=File_names()
global_list=list()
for eachw in Hc_points_list:
global_list.append(eachw)
h_field_results_file_name=file_names.get_H_results_file_name()
full_path=os.path.join(folder_path,h_field_results_file_name)
# print(global_list)
write_numeric_data_file(full_path,global_list,"HResults",True)
global_list=list()
for eachw in global_nodes:
local=list()
for each in eachw:
local.append(each)
global_list.append(local)
h_field_results_file_name=file_names.get_H_results_file_name()
full_path=os.path.join(folder_path,h_field_results_file_name)
write_numeric_data_file(full_path,global_list,"Points",False)
#==============================================================================
# GMSH post processing
file_names=File_names()
Gmsh_file_name=file_names.get_H_Gmsh_pos_proc_file_name()
path=os.path.join(folder_path,Gmsh_file_name)
global_coor=list()
for each_element in integ_gauss_points_coordinates:
for each_point in each_element:
global_coor.append(each_point)
Create_Vector_field(global_coor,Hc_points_list,path,"H vector")
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")
tests_folder=r'D:\Anderson\Dropbox\BKP\10_UFSC\01_Doutorado\3_Codigos\FacetElement\tests' folder_path=os.path.normpath(os.path.join(tests_folder,'13_Elem_Quad')) setup_file='setup.txt' mesh_file='1Elem_quad.msh' setup_file_name=os.path.join(folder_path,setup_file) mesh_file_name =os.path.join(folder_path,mesh_file) nodes_per_element=3 faces_per_element=3 str_noflux_face="iahahaha" #============================================================================== # Results path file_names=File_names() results_folder=file_names.get_results_folder_name() results_path=os.path.join(folder_path,results_folder) #=============================================================================== # Pre Processing #=============================================================================== preProcData= get_preproc_data(mesh_file_name, setup_file_name) #------------------------------------------------------------------------------ # Setup regions_material=preProcData.RegionMaterial regions_excitation=preProcData.RegionExcitation boundary=preProcData.BC external_reluctances=preProcData.ExternalReluctances coupling=preProcData.CoupNet #------------------------------------------------------------------------------