Note
Click here to download the full example code
2.7. Spherically symmetric PDE¶
This example illustrates how to solve a PDE in a spherically symmetric geometry.
0%| | 0/0.1 [00:00<?, ?it/s]
Initializing: 0%| | 0/0.1 [00:00<?, ?it/s]
0%| | 0/0.1 [00:01<?, ?it/s]
8%|8 | 0.008/0.1 [00:01<00:21, 233.43s/it]
41%|####1 | 0.041/0.1 [00:01<00:02, 45.56s/it]
41%|####1 | 0.041/0.1 [00:01<00:02, 45.58s/it]
100%|##########| 0.1/0.1 [00:01<00:00, 18.69s/it]
100%|##########| 0.1/0.1 [00:01<00:00, 18.69s/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")
Total running time of the script: ( 0 minutes 2.071 seconds)