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---
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
``` |