def main(kf, description, mesh_size):
mesh_kwargs = {}
mesh_kwargs["mesh_size"] = {
"mode": "constant",
"value": mesh_size,
"bound_value": mesh_size,
}
domain = {"xmin": 0, "xmax": 1, "ymin": 0, "ymax": 1}
if_coarse = True
folder = "example_5_1_1_" + description
file_name = "network_geiger.csv"
write_network(file_name)
gb = importer.from_csv(file_name, mesh_kwargs, domain)
gb.compute_geometry()
g_fine = gb.get_grids(lambda g: g.dim == gb.dim_max())[0].copy()
if if_coarse:
partition = co.create_aggregations(gb)
partition = co.reorder_partition(partition)
co.generate_coarse_grid(gb, partition)
gb.assign_node_ordering()
# Assign parameters
add_data(gb, domain, kf)
# Choose and define the solvers and coupler
solver = dual.DualVEMMixDim("flow")
A, b = solver.matrix_rhs(gb)
up = sps.linalg.spsolve(A, b)
solver.split(gb, "up", up)
gb.add_node_props(["discharge", "pressure", "P0u"])
solver.extract_u(gb, "up", "discharge")
solver.extract_p(gb, "up", "pressure")
solver.project_u(gb, "discharge", "P0u")
exporter.export_vtk(gb, "vem", ["pressure", "P0u"], folder=folder, binary=False)
if if_coarse:
partition = partition[gb.grids_of_dimension(gb.dim_max())[0]]
p = np.array([d["pressure"] for g, d in gb if g.dim == gb.dim_max()]).ravel()
data = {"partition": partition, "pressure": p[partition]}
exporter.export_vtk(g_fine, "sub_grid", data, binary=False, folder=folder)
print("diam", gb.diameter(lambda g: g.dim == gb.dim_max()))
print("num_cells 2d", gb.num_cells(lambda g: g.dim == 2))
print("num_cells 1d", gb.num_cells(lambda g: g.dim == 1))
T = 40 * np.pi * 1e7
Nt = 20 # 10 20 40 80 160 320 640 1280 2560 5120 - 100000
deltaT = T / Nt
export_every = 1
if_coarse = True
mesh_kwargs = {"mesh_size_frac": 500, "mesh_size_min": 20}
domain = {"xmin": 0, "xmax": 700, "ymin": 0, "ymax": 600}
gb = importer.from_csv("network.csv", mesh_kwargs, domain)
gb.compute_geometry()
if if_coarse:
co.coarsen(gb, "by_volume")
gb.assign_node_ordering()
# Choose and define the solvers and coupler
darcy = dual.DualVEMMixDim("flow")
# Assign parameters
add_data_darcy(gb, domain, tol)
A, b = darcy.matrix_rhs(gb)
up = sps.linalg.spsolve(A, b)
darcy.split(gb, "up", up)
gb.add_node_props(["pressure", "P0u", "discharge"])
darcy.extract_u(gb, "up", "discharge")
darcy.extract_p(gb, "up", "pressure")
darcy.project_u(gb, "discharge", "P0u")
# compute the flow rate
##------------------------------------------------------------------------------#
tol = 1e-4
mesh_kwargs = {'mesh_size_frac': 500, 'mesh_size_min': 20}
domain = {'xmin': 0, 'xmax': 700, 'ymin': 0, 'ymax': 600}
gb = importer.from_csv('network.csv', mesh_kwargs, domain)
gb.compute_geometry()
co.coarsen(gb, 'by_volume')
gb.assign_node_ordering()
# Assign parameters
add_data(gb, domain)
# Choose and define the solvers and coupler
solver = dual.DualVEMMixDim("flow")
A, b = solver.matrix_rhs(gb)
up = sps.linalg.spsolve(A, b)
solver.split(gb, "up", up)
gb.add_node_props(["discharge", 'pressure', "P0u"])
solver.extract_u(gb, "up", "discharge")
solver.extract_p(gb, "up", 'pressure')
solver.project_u(gb, "discharge", "P0u")
exporter.export_vtk(gb, 'vem', ['pressure', "P0u"], folder='example_5_1_2')
# This part is very slow and not optimized, it's just to obtain the plots once.
b_box = gb.bounding_box()
N_pts = 1000
def main(kf, description, mesh_size):
mesh_kwargs = {}
mesh_kwargs['mesh_size'] = {
'mode': 'constant',
'value': mesh_size,
'bound_value': mesh_size
}
domain = {'xmin': 0, 'xmax': 1, 'ymin': 0, 'ymax': 1}
if_coarse = True
folder = 'example_5_1_1_' + description
file_name = 'network_geiger.csv'
write_network(file_name)
gb = importer.from_csv(file_name, mesh_kwargs, domain)
gb.compute_geometry()
g_fine = gb.get_grids(lambda g: g.dim == gb.dim_max())[0].copy()
if if_coarse:
partition = co.create_aggregations(gb)
partition = co.reorder_partition(partition)
co.generate_coarse_grid(gb, partition)
gb.assign_node_ordering()
internal_flag = FaceTag.FRACTURE
[g.remove_face_tag_if_tag(FaceTag.BOUNDARY, internal_flag) for g, _ in gb]
# Assign parameters
add_data(gb, domain, kf)
# Choose and define the solvers and coupler
solver = dual.DualVEMMixDim('flow')
A, b = solver.matrix_rhs(gb)
up = sps.linalg.spsolve(A, b)
solver.split(gb, "up", up)
gb.add_node_props(["discharge", 'pressure', "P0u"])
solver.extract_u(gb, "up", "discharge")
solver.extract_p(gb, "up", 'pressure')
solver.project_u(gb, "discharge", "P0u")
exporter.export_vtk(gb,
'vem', ['pressure', "P0u"],
folder=folder,
binary=False)
if if_coarse:
partition = partition[gb.grids_of_dimension(gb.dim_max())[0]]
p = np.array([d['pressure'] for g, d in gb
if g.dim == gb.dim_max()]).ravel()
data = {'partition': partition, 'pressure': p[partition]}
exporter.export_vtk(g_fine,
'sub_grid',
data,
binary=False,
folder=folder)
print("diam", gb.diameter(lambda g: g.dim == gb.dim_max()))
print("num_cells 2d", gb.num_cells(lambda g: g.dim == 2))
print("num_cells 1d", gb.num_cells(lambda g: g.dim == 1))
