2.2.5 Spherically symmetric PDE

This example illustrates how to solve a PDE in a spherically symmetric geometry.

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  6%|▌         | 0.006/0.1 [00:03<00:52, 558.22s/it]
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100%|██████████| 0.1/0.1 [00:03<00:00, 33.50s/it]

from pde import DiffusionPDE, ScalarField, SphericalSymGrid

grid = SphericalSymGrid(radius=[1, 5], shape=128)  # generate grid
state = ScalarField.random_uniform(grid)  # generate initial condition

eq = DiffusionPDE(0.1)  # define the PDE
result = eq.solve(state, t_range=0.1, dt=0.001)

result.plot(kind="image")