# This function pulls in the mesh and observational data that we'll use.
import preprocess
preprocess.main()
# Read in the observational data.
vx_obs = icepack.read_arc_ascii_grid(open("ross-vx.txt", "r"))
vy_obs = icepack.read_arc_ascii_grid(open("ross-vy.txt", "r"))
h_obs = icepack.read_arc_ascii_grid(open("ross-h.txt", "r"))
mesh = icepack.read_msh("ross.msh")
fig, ax = plt.subplots()
ax.set_aspect('equal')
icepack.plot.plot_mesh(ax, mesh)
plt.show(fig)
discretization = icepack.make_discretization(mesh, 1)
v = icepack.interpolate(discretization, vx_obs, vy_obs)
h = icepack.interpolate(discretization, h_obs)
# Make a dumb guess for the ice temperature. In "real life", you would want to
# use an inverse method that would tune the temperature to fit observations.
theta = icepack.interpolate(discretization, lambda x: 253.0)
# Solve for the ice velocity, assuming this guess for the temperature.
dirichlet_boundary_ids = {2, 3, 4, 5}
ice_shelf = icepack.IceShelf(dirichlet_boundary_ids)
u = ice_shelf.solve(h, theta, v)
print("Misfit between computed and observed velocities: {}"
.format(icepack.dist(u, v) / icepack.norm(v)))
import icepack
mesh = icepack.read_msh("tests/rectangle.msh")
mesh.refine_global(2)
discretization = icepack.make_discretization(mesh, 1)
def test_discretization():
assert discretization.triangulation is not None
def test_interpolating():
u = icepack.interpolate(discretization, lambda x: x[0] * x[1])
assert u.discretization is discretization
assert icepack.max(u) <= 1.0
def test_algebra():
u = icepack.interpolate(discretization, lambda x: x[0] - x[1])
v = icepack.interpolate(discretization, lambda x: x[0] * x[1])
w = icepack.interpolate(discretization,
lambda x: x[0] - x[1] + x[0] * x[1])
assert icepack.dist(u + v, w) / icepack.norm(w) < 1.0e-8
w = icepack.interpolate(discretization,
lambda x: x[0] - x[1] - x[0] * x[1])
assert icepack.dist(u - v, w) / icepack.norm(w) < 1.0e-8
w = icepack.interpolate(discretization, lambda x: 2 * x[0] * x[1])
assert icepack.dist(2.0 * v, w) / icepack.norm(w) < 1.0e-8