2.7 Spherically symmetric PDE

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

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Initializing:   0%|          | 0/0.1 [00:00<?, ?it/s]
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  8%|▊         | 0.008/0.1 [00:02<00:23, 253.77s/it]
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100%|██████████| 0.1/0.1 [00:02<00:00, 20.31s/it]
100%|██████████| 0.1/0.1 [00:02<00:00, 20.31s/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")