# Flow Field Prediction on PDEBench Rand-M0.1

Source: [Flow Field Prediction on PDEBench Rand-M0.1](<https://www.sota2.com/research/sota/flow-field-prediction-on-pdebench-rand-m0-1>)

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

Data updated: 2026-04-23T07:41:39.115Z

Evaluation of models performing Flow Field Prediction on the Rand-M0.1 configuration of the PDEBench dataset, measured using RMSE, Vorticity (Vor), Spectrum (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) | PDEBench Rand-M0.1 |
| 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-pdebench-rand-m0-1.md?metric=RMSE>): Lower is better; unit: SCALAR.

- [Vorticity](<https://www.sota2.com/research/sota/flow-field-prediction-on-pdebench-rand-m0-1.md?metric=Vorticity>): Lower is better; unit: SCALAR.

- [Spectrum](<https://www.sota2.com/research/sota/flow-field-prediction-on-pdebench-rand-m0-1.md?metric=Spectrum>): Lower is better; unit: SCALAR.

- [Divergence](<https://www.sota2.com/research/sota/flow-field-prediction-on-pdebench-rand-m0-1.md?metric=Divergence>): Lower is better; unit: SCALAR.

## Recorded results

| Method | RMSE | Result date | Report paper |
| --- | --- | --- | --- |
| FLOWFORGE | 0.0451 | Not recorded | 69e85bd97d0172140ec81179 |
| FNO | 0.137 | Not recorded | 69e85bd97d0172140ec81179 |
| U-Net | 0.9253 | Not recorded | 69e85bd97d0172140ec81179 |

### FLOWFORGE

RMSE: 0.0451. Result ID: 69e9cd3247f34ce924d0aac7.

[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: 0.137. Result ID: 69e9cd3247f34ce924d0aac5.

[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: 0.9253. Result ID: 69e9cd3247f34ce924d0aac6.

[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: Not recorded. This record does not assert independent reproduction.

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