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readme for FlowOverCircle
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foldfelis committed Sep 12, 2021
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18 changes: 3 additions & 15 deletions README.md
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Expand Up @@ -70,27 +70,15 @@ Flux.@epochs 50 Flux.train!(loss, params(model), data, opt)

PDE training examples are provided in `example` folder.

### One-dimensional
### One-dimensional Fourier neural operator

[Burgers' equation](example/Burgers)

### Two-dimensional with time Navier-Stokes equation

The Navier-Stokes equation is learned by the `MarkovNeuralOperator` with only one time step information.
Example can be found in `example/FlowOverCircle`.
The result is also provided [here](https://foldfelis.github.io/NeuralOperators.jl/dev/assets/notebook/mno.jl.html)
### Markov Neural Operator

| **Ground Truth** | **Inferenced** |
|:----------------:|:--------------:|
| ![](example/FlowOverCircle/gallery/ans.gif) | ![](example/FlowOverCircle/gallery/inferenced.gif) |

Use following commend to train model:

```julia
$ julia --proj

julia> using FlowOverCircle; FlowOverCircle.train()
```
[Time dependent Navier-Stokes equation](example/FlowOverCircle)

## Roadmap

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16 changes: 16 additions & 0 deletions example/FlowOverCircle/README.md
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# Flow over the circle

The time dependent Navier-Stokes equation is learned by the `MarkovNeuralOperator` with only one time step information.
The result of this example can be found [here](https://foldfelis.github.io/NeuralOperators.jl/dev/assets/notebook/mno.jl.html).

| **Ground Truth** | **Inferenced** |
|:----------------:|:--------------:|
| ![](gallery/ans.gif) | ![](gallery/inferenced.gif) |

Change directory to `example/FlowOverCircle` and use following commend to train model:

```julia
$ julia --proj

julia> using FlowOverCircle; FlowOverCircle.train()
```

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