Commit 02d87427 authored by Sebastian Bindgen's avatar Sebastian Bindgen
Browse files

Remove display of initial state to avoid runtime error

parent 2b542d9c
......@@ -235,26 +235,21 @@
```
%% Cell type:markdown id: tags:
## Run the simulation
### Initial state
### Initialize all velocities with zero
%% Cell type:code id: tags:
``` python
init()
plot_v()
```
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:markdown id: tags:
### Run the simulation until converged
### Run the simulation to show the flow profile
%% Cell type:code id: tags:
``` python
time = 500
......
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