# Flow Field Prediction on BubbleML FB-VelScale

Source: [Flow Field Prediction on BubbleML FB-VelScale](<https://www.sota2.com/research/sota/flow-field-prediction-on-bubbleml-fb-velscale>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-04-23T07:41:39.220Z

Evaluation of models predicting flow fields on the BubbleML FB-VelScale dataset, measured using RMSE, Vorticity (Vor), Spectral Energy (Spec), and Divergence (Div).

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Flow Field Prediction |
| Dataset (including any stated split) | BubbleML FB-VelScale |
| Metric | RMSE |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 3 of 3 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [RMSE](<https://www.sota2.com/research/sota/flow-field-prediction-on-bubbleml-fb-velscale.md?metric=RMSE>): Lower is better; unit: SCALAR.

- [Vorticity (Vor)](<https://www.sota2.com/research/sota/flow-field-prediction-on-bubbleml-fb-velscale.md?metric=Vorticity%20(Vor)>): Lower is better; unit: SCALAR.

- [Spectral Energy (Spec)](<https://www.sota2.com/research/sota/flow-field-prediction-on-bubbleml-fb-velscale.md?metric=Spectral%20Energy%20(Spec)>): Lower is better; unit: SCALAR.

- [Divergence (Div)](<https://www.sota2.com/research/sota/flow-field-prediction-on-bubbleml-fb-velscale.md?metric=Divergence%20(Div)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | RMSE | Result date | Report paper |
| --- | --- | --- | --- |
| FLOWFORGE | 0.5382 | Not recorded | 69e85bd97d0172140ec81179 |
| FNO | 0.9042 | Not recorded | 69e85bd97d0172140ec81179 |
| U-Net | 9.8684 | Not recorded | 69e85bd97d0172140ec81179 |

### FLOWFORGE

RMSE: 0.5382. Result ID: 69e9cd3247f34ce924d0aad6.

[Reporting paper](<https://www.sota2.com/research/paper/69e85bd97d0172140ec81179.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e85bd97d0172140ec81179.md>)

Recorded evaluation configuration: {"Mode":"compiler-selected configuration"}. This record does not assert independent reproduction.

### FNO

RMSE: 0.9042. Result ID: 69e9cd3247f34ce924d0aad4.

[Reporting paper](<https://www.sota2.com/research/paper/69e85bd97d0172140ec81179.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa581d1e209131ce9ab45d.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### U-Net

RMSE: 9.8684. Result ID: 69e9cd3247f34ce924d0aad5.

[Reporting paper](<https://www.sota2.com/research/paper/69e85bd97d0172140ec81179.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa61e11e209131ce9f653d.md>)

[Implementation](<http://lmb.informatik.uni-freiburg.de/people/ronneber/u-net>)

Recorded evaluation configuration: {"Official Hyperparameters":"None (Short Grid Search)"}. This record does not assert independent reproduction.

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