def setUp(self):
test_shape = ((-1, -.5, 0, .5, 1), (-2, 0, 2, 4))
self.tgrid = np.ones((5, 4))
self.tgrid[3, 2] = 12
self.tgrid[1, 1] = 5
self.gspec = grid.CartesianGridSpec(test_shape)
self.grid = grid.GridScalar(self.gspec, self.tgrid)
def setUp(self):
test_shape = ((-1, -.5, 0, .5, 1), (-2, 0, 2, 4))
self.tgrid = np.ones((5, 4))
self.gspec = grid.CartesianGridSpec(test_shape)
self.grid = grid.GridScalar(self.gspec, self.tgrid)
self.logg = logger.Logger()
self.vis = vis.VisGif2d(r"tests/test_outs/")
#instantiate many items in the log_list
for i in range(50):
self.logg.log(i, self.grid + i)
def setUp(self):
test_shape = ((-1, -.5, 0, .5, 1), (-2, 0, 2, 4))
self.tgrid = np.ones((5, 4))
self.tgrid[3, 2] = 12
self.tgrid[1, 1] = 5
self.gspec = grid.CartesianGridSpec(test_shape)
self.grid = grid.GridScalar(self.gspec, self.tgrid)
self.logg = logger.Logger()
#instantiate two items in the log_list
self.logg.log(0., self.grid)
self.logg.log(3., self.grid)
def setUp(self):
self.dimen1 = 0
self.dimen2 = 1
self.side1 = 'r'
self.side2 = 'l'
self.vals = np.array([1., 2., 3., 4.])
self.bc_list = [
sbcs.Dirichlet(self.dimen1, self.side1, self.vals),
sbcs.Dirichlet(self.dimen2, self.side2, self.vals)
]
self.bch = dh.DirichletHand(self.bc_list)
self.coords = ((0, 1, 2, 3), (3, 4, 5, 6))
self.initial_vals = np.zeros((4, 4))
self.time = 0
self.gspec = grid.CartesianGridSpec(self.coords)
self.gscl = grid.GridScalar(self.gspec, self.initial_vals)
def main():
nx = 100
ny = 100
dx = 2 / (nx - 1)
dy = 2 / (ny - 1)
x = np.linspace(0, 2, nx)
y = np.linspace(0, 2, ny)
coords = (tuple(x), tuple(y))
# Sloppily assign initial conditions
u = np.zeros((ny, nx))
# set hat function I.C. : u(.5<=x<=1 && .5<=y<=1 ) is 2
u[int(.5 / dy):int(1 / dy + 1), int(.5 / dx):int(1 / dx + 1)] = 2
# Make the interior laplacian operator
# A first order, center difference, 2nd derivative
d2_int = operator_1d.Operator1D([-1, 0, 1], 2)
# The OperatorND object for a 2D laplacian
laplac_int = operator_nd.OperatorND((d2_int, d2_int))
# Make the exterior laplacian operators
d2_left = operator_1d.Operator1D([0, 1, 2], 2)
d2_right = operator_1d.Operator1D([-2, -1, 0], 2)
x_edge_ops = fixed_edge_ops.FixedEdgeOps((d2_left, ), (d2_right, ))
y_edge_ops = fixed_edge_ops.FixedEdgeOps((d2_left, ), (d2_right, ))
# Full laplacian operator
laplacian = op_nd_scheme.OperatorNDScheme(laplac_int,
(y_edge_ops, x_edge_ops))
gridspec = grid.CartesianGridSpec(coords)
test_grid = grid.GridScalar(gridspec, u)
lapl_op = gridoperator.GridOperator(gridspec, laplacian)
out_grid = lapl_op(test_grid)
def setUp(self):
self.opcd = operator_1d.Operator1D([-1, 0, 1], 2)
self.opbd = operator_1d.Operator1D([-2, -1, 0], 2)
self.opfd = operator_1d.Operator1D([0, 1, 2], 2)
self.laplace_int = operator_nd.OperatorND((self.opcd, self.opcd))
self.edge = fixed_edge_ops.FixedEdgeOps((self.opfd, ), (self.opbd, ))
self.laplace_scheme = op_nd_scheme.OperatorNDScheme(
self.laplace_int, (self.edge, self.edge))
self.spec = grid.CartesianGridSpec(((0, 1, 2), (0, 1, 2)))
self.grid_op = gridoperator.GridOperator(self.spec,
self.laplace_scheme)
# Define correct output
x_out_cor = operatormatrix.OperatorMatrix(9)
int_points = [1, 4, 7]
weights = [1, -2, 1]
for pt in int_points:
x_out_cor[pt, pt - 1:pt + 2] = weights
left_points = [0, 3, 6]
for pt in left_points:
x_out_cor[pt, pt:pt + 3] = weights
right_points = [2, 5, 8]
for pt in right_points:
x_out_cor[pt, pt - 2:pt + 1] = weights
y_out_cor = operatormatrix.OperatorMatrix(9)
yweights = [1, 0, 0, -2, 0, 0, 1]
for j in range(3):
for i in range(3):
y_out_cor[3 * i + j, j:j + 7] = yweights
self.laplace_cor = x_out_cor + y_out_cor
def test_applyOp(self):
testspec = grid.CartesianGridSpec(((0, 1, 2), (0, 1, 2)))
test_int = np.zeros((3, 3))
test_int[1, 1] = 1
testgrid = grid.GridScalar(testspec, test_int)
x_out_cor = operatormatrix.OperatorMatrix(9)
int_points = [1, 4, 7]
weights = [1, -2, 1]
for pt in int_points:
x_out_cor[pt, pt - 1:pt + 2] = weights
left_points = [0, 3, 6]
for pt in left_points:
x_out_cor[pt, pt:pt + 3] = weights
right_points = [2, 5, 8]
for pt in right_points:
x_out_cor[pt, pt - 2:pt + 1] = weights
y_out_cor = operatormatrix.OperatorMatrix(9)
yweights = [1, 0, 0, -2, 0, 0, 1]
for j in range(3):
for i in range(3):
y_out_cor[3 * i + j, j:j + 7] = yweights
laplace = y_out_cor + x_out_cor
results = testgrid.applyOp(laplace)
result_cor = np.zeros((3, 3))
result_cor[1, :] = [-2, -4, -2]
result_cor[0, 1] = -2
result_cor[2, 1] = -2
np.testing.assert_array_equal(result_cor, results.grid)
import numpy as np
from src import grid
from src import gridoperator
from src import static_bcs
from src import dirichlet_hand
from src import logger
from src import forward_euler
from src import conduct_heat_eqn
from src import spatial_driver
from src import driver
from src import vis_gif_2d
from src import plot_end
import initializer
gspec = grid.CartesianGridSpec(initializer.coords)
grid_u = grid.GridScalar(gspec,initializer.u) # initial grid of temperature values
laplace_op = gridoperator.GridOperator(gspec, initializer.laplace_scheme)
ops_dict = {'laplacian': laplace_op}
#set each of the boundaries (using all dirichlet zero for now)
BCs = []
# BCs.append(static_bcs.Dirichlet(0,'l',np.array([1])))
# BCs.append(static_bcs.Dirichlet(0,'r',np.array([0])))
BCs.append(static_bcs.Dirichlet(0,'l',np.zeros(grid_u.shape[0])))
BCs.append(static_bcs.Dirichlet(0,'r',np.zeros(grid_u.shape[0])))
BCs.append(static_bcs.Dirichlet(1,'l',np.zeros(grid_u.shape[0])))
BCs.append(static_bcs.Dirichlet(1,'r',np.zeros(grid_u.shape[0])))
bound_handlr = dirichlet_hand.DirichletHand(BCs)