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solvers.py
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solvers.py
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import numpy as np
import scipy.sparse as sps
from porepy.viz.exporter import Exporter
import porepy as pp
# ------------------------------------------------------------------------------#
def mortar_dof_size(A, gb, solver_flow):
dummy = np.zeros(A.shape[0])
solver_flow.split(gb, "dummy", dummy)
mortar_dofs = 0
for e, d in gb.edges_props():
mortar_dofs += d["mortar_solution"].size
return mortar_dofs
# ------------------------------------------------------------------------------#
def solve_rt0(gb, folder, return_only_matrix=False):
# Choose and define the solvers and coupler
solver_flow = pp.RT0MixedDim("flow")
A_flow, b_flow = solver_flow.matrix_rhs(gb)
A = A_flow
if return_only_matrix:
return A, mortar_dof_size(A, gb, solver_flow)
up = sps.linalg.spsolve(A, b_flow)
solver_flow.split(gb, "up", up)
solver_flow.extract_p(gb, "up", "pressure")
save = Exporter(gb, "sol", folder=folder)
save.write_vtk(["pressure"])
# ------------------------------------------------------------------------------#
def solve_tpfa(gb, folder, return_only_matrix=False):
# Choose and define the solvers and coupler
solver_flow = pp.TpfaMixedDim("flow")
A_flow, b_flow = solver_flow.matrix_rhs(gb)
A = A_flow
if return_only_matrix:
return A, mortar_dof_size(A, gb, solver_flow)
p = sps.linalg.spsolve(A, b_flow)
solver_flow.split(gb, "pressure", p)
save = Exporter(gb, "sol", folder=folder)
save.write_vtk(["pressure"])
# ------------------------------------------------------------------------------#
def solve_mpfa(gb, folder, return_only_matrix=False):
# Choose and define the solvers and coupler
solver_flow = pp.MpfaMixedDim("flow")
A_flow, b_flow = solver_flow.matrix_rhs(gb)
A = A_flow
if return_only_matrix:
return A, mortar_dof_size(A, gb, solver_flow)
p = sps.linalg.spsolve(A, b_flow)
solver_flow.split(gb, "pressure", p)
save = Exporter(gb, "sol", folder=folder)
save.write_vtk(["pressure"])
# ------------------------------------------------------------------------------#
def solve_p1(gb, folder, return_only_matrix=False):
# Choose and define the solvers and coupler
solver_flow = pp.P1MixedDim("flow")
A_flow, b_flow = solver_flow.matrix_rhs(gb)
A = A_flow
if return_only_matrix:
return A, mortar_dof_size(A, gb, solver_flow)
p = sps.linalg.spsolve(A, b_flow)
solver_flow.split(gb, "pressure", p)
save = Exporter(gb, "sol", folder=folder, simplicial=True)
save.write_vtk("pressure", point_data=True)
# ------------------------------------------------------------------------------#
def solve_vem(gb, folder, return_only_matrix=False):
# Choose and define the solvers and coupler
solver_flow = pp.DualVEMMixedDim("flow")
A_flow, b_flow = solver_flow.matrix_rhs(gb)
A = A_flow
if return_only_matrix:
return A, mortar_dof_size(A, gb, solver_flow)
up = sps.linalg.spsolve(A, b_flow)
solver_flow.split(gb, "up", up)
solver_flow.extract_p(gb, "up", "pressure")
solver_flow.extract_u(gb, "up", "discharge")
solver_flow.project_u(gb, "discharge", "P0u")
save = Exporter(gb, "sol", folder=folder)
save.write_vtk(["pressure", "P0u"])
# ------------------------------------------------------------------------------#