---
license: mit
pretty_name: caraml_fno_benchmark
---
Data used to benchmark Fourier Neural Operator (FNO) using [CARAML](https://github.com/FZJ-JSC/CARAML).

# Rayleigh-Bénard convection (RBC)
RBC2D data is generated using [Dedalus](https://dedalus-project.readthedocs.io/en/latest/) solver and RBC3D data is generated using [pySDC](https://zenodo.org/records/15196003) solver.

- dataset: `RBC2D_256x64_Ra1e7_dt1e-3_update.h5` 
```
 -- grid shape : (256, 64)
 -- grid domain : [0.0, 4.0] x [0.0, 1.0]
 -- nSimu : 10
 -- dtData : 0.001
 -- inSize : 1
 -- outStep : 1
 -- inStep : 500
 -- nSamples (per simu) : 200
 -- nSamples (total) : 2000
 -- dtInput : 0.001
 -- outType : update
 -- outScaling : 1e+03
 -- Rayleigh: 1e7
 -- Prandtl : 1.0
```

- dataset: `RBC3D_64x64x32_Ra1e5_dt0_5_solution.h5`
```
 -- grid shape : (64, 64, 32)
 -- grid domain : [0.0, 3.9] x [0.0,3.9] x [0.0, 1.0]
 -- nSimu : 6
 -- dtData : 0.5
 -- inSize : 1
 -- outStep : 1
 -- inStep : 1
 -- nSamples (total) : 2401
 -- dtInput : 0.5
 -- outType : solution
 -- outScaling : 1
 -- Rayleigh: 1e5
 -- Prandtl : 0.7
```

# Particle-In-Cell (PIC)
Data is generated using PIC methods using [https://github.com/srikrrish/PIC-Simulation](https://github.com/srikrrish/PIC-Simulation) code.

- dataset: `PIC1D_electrostatic.h5`
```
-- nDim : 1
 -- inputKeys : ['pos_weakLandau', 'pos_strongLandau', 'pos_tsi', 'pos_bti']
 -- inputShape : [  2000      2 100000]
 -- outputKeys : ['Eout_weakLandau', 'Eout_strongLandau', 'Eout_tsi', 'Eout_bti']
 -- outputShape : [  2000      1 100000]
 -- outputMean : -9.313583237968714e-11
 -- outputStd : 0.26851966977119446
 -- outType : solution
 -- outScaling : 1
 -- particles : 100000
```
- dataset: `PIC2D_electrostatic.h5`
```
 -- nDim : 2
 -- inputKeys : ['pos_weakLandau', 'pos_strongLandau', 'pos_tsi', 'pos_bti']
 -- inputShape : [  4200      3 100000]
 -- outputKeys : ['Eout_weakLandau', 'Eout_strongLandau', 'Eout_tsi', 'Eout_bti']
 -- outputShape : [  4200      2 100000]
 -- outputMean : [-1.8569685e-13  6.0242131e-11]
 -- outputStd : [0.06087422 0.2189879 ]
 -- outType : solution
 -- outScaling : 1
 -- particles : 100000
```