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178 | # Authors:
# Loic Gouarin <loic.gouarin@cmap.polytechnique.fr>
# Nicole Spillane <nicole.spillane@cmap.polytechnique.fr>
#
# License: BSD 3 clause
from __future__ import print_function, division
import numpy as np
from six.moves import range
def bcApplyWest_vec(da, B):
b = da.getVecArray(B)
ranges = da.getRanges()
dim = len(ranges)
xs = ranges[0][0]
if xs == 0:
for i in range(dim):
b[xs, ..., i] = 0
# mx, my = da.getSizes()
# (xs, xe), (ys, ye) = da.getRanges()
# if xs == 0:
# for i in range(ys, ye):
# b[xs, i, 0] = 0
# b[xs, i, 1] = 0
def bcApplyWestMat(da, A):
"""
Apply boundary conditions on the west side.
Parameters
==========
da : petsc.DMDA
The mesh structure.
A : petsc.Mat
The matrix of the elasticity operator.
b : petsc.Vec
The second member.
This function sets all the row entries of the matrix A
corresponding to the Dirichlet boundary to 0 and 1 on
the diagonal and sets the Dirichlet condition on the
second member b.
"""
dim = da.getDim()
dof = da.getDof()
ranges = da.getGhostRanges()
sizes = np.empty(dim, dtype=np.int32)
for ir, r in enumerate(ranges):
sizes[ir] = r[1] - r[0]
rows = np.empty(0, dtype=np.int32)
values = np.empty(0)
if ranges[0][0] == 0:
if dim == 2:
rows = np.empty(dim*sizes[1], dtype=np.int32)
rows[::dof] = dof*np.arange(sizes[1])*sizes[0]
else:
rows = np.empty(dim*sizes[1]*sizes[2], dtype=np.int32)
y = np.arange(sizes[1])
z = np.arange(sizes[2])*sizes[1]
rows[::dof] = dof*sizes[0]*(y + z[:, np.newaxis]).flatten()
for i in range(1, dof):
rows[i::dof] = rows[::dof] + i
# A.zeroRowsColumnsLocal(rows)
A.zeroRowsLocal(rows)
def bcApplyWest(da, A, B):
"""
Apply boundary conditions on the west side.
Parameters
==========
da : petsc.DMDA
The mesh structure.
A : petsc.Mat
The matrix of the elasticity operator.
b : petsc.Vec
The second member.
This function sets all the row entries of the matrix A
corresponding to the Dirichlet boundary to 0 and 1 on
the diagonal and sets the Dirichlet condition on the
second member b.
"""
dim = da.getDim()
dof = da.getDof()
ranges = da.getRanges()
ghost_ranges = da.getGhostRanges()
sizes = np.empty(dim, dtype=np.int32)
ir = 0
for r , gr in zip(ranges, ghost_ranges):
sizes[ir] = r[1] - gr[0]
ir += 1
rows = np.empty(0, dtype=np.int32)
values = np.empty(0)
if ranges[0][0] == 0:
if dim == 2:
rows = np.empty(dim*sizes[1], dtype=np.int32)
rows[::dof] = dof*np.arange(sizes[1])*sizes[0]
else:
rows = np.empty(dim*sizes[1]*sizes[2], dtype=np.int32)
y = np.arange(sizes[1])
z = np.arange(sizes[2])*sizes[1]
rows[::dof] = dof*sizes[0]*(y + z[:, np.newaxis]).flatten()
for i in range(1, dof):
rows[i::dof] = rows[::dof] + i
A.zeroRowsColumnsLocal(rows)
b = da.getVecArray(B)
ranges = da.getRanges()
xs = ranges[0][0]
if xs == 0:
for i in range(dim):
b[xs, ..., i] = 0
def bcApplyEast(da, A, B):
"""
Apply boundary conditions on the east side.
Parameters
==========
da : petsc.DMDA
The mesh structure.
A : petsc.Mat
The matrix of the elasticity operator.
b : petsc.Vec
The second member.
This function sets all the row entries of the matrix A
corresponding to the Dirichlet boundary to 0 and 1 on
the diagonal and sets the Dirichlet condition on the
second member b.
"""
global_sizes = da.getSizes()
dof = da.getDof()
ranges = da.getGhostRanges()
sizes = np.empty(2, dtype=np.int32)
for ir, r in enumerate(ranges):
sizes[ir] = r[1] - r[0]
rows = np.empty(0, dtype=np.int32)
values = np.empty(0)
if ranges[0][1] == global_sizes[0]:
rows = np.empty(2*sizes[1], dtype=np.int32)
rows[::2] = dof*(np.arange(sizes[1])*sizes[0]+ sizes[0]-1)
rows[1::2] = rows[::2] + 1
values = np.zeros(2*sizes[1])
values[::2] = 1.
values[1::2] = -1.
A.zeroRowsLocal(rows)
mx, my = da.getSizes()
(xs, xe), (ys, ye) = da.getRanges()
b = da.getVecArray(B)
if xe == mx:
for i in range(ys, ye):
b[xe-1, i, 0] = 0
b[xe-1, i, 1] = 0
|