# Operator Learning on Navier-Stokes (nu=1e-3, T=50, N=1000) 1.0 (test)

Source: [Operator Learning on Navier-Stokes (nu=1e-3, T=50, N=1000) 1.0 (test)](<https://www.sota2.com/research/sota/operator-learning-on-navier-stokes-nu-1e-3-t-50-n-1000-1-0-test>)

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

Data updated: 2026-02-26T06:01:56.884Z

Evaluation of Operator Learning models on the Navier-Stokes dataset variant defined by viscosity nu=1e-3, time horizon T=50, and N=1000 samples, tested on split 1.0, using Relative L2 error.

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 | Operator learning |
| Dataset (including any stated split) | Navier-Stokes (nu=1e-3, T=50, N=1000) 1.0 (test) |
| Metric | Relative L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 7 of 7 |
| 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

- [Relative L2 Error](<https://www.sota2.com/research/sota/operator-learning-on-navier-stokes-nu-1e-3-t-50-n-1000-1-0-test.md?metric=Relative%20L2%20Error>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| MWT Leg | 0.00625 | Not recorded | 68fa58891e209131ce9af110 |
| MWT Chb | 0.0072 | Not recorded | 68fa58891e209131ce9af110 |
| FNO-3D | 0.0086 | Not recorded | 68fa58891e209131ce9af110 |
| FNO-2D | 0.0128 | Not recorded | 68fa58891e209131ce9af110 |
| TF-Net | 0.0225 | Not recorded | 68fa58891e209131ce9af110 |
| U-Net | 0.0245 | Not recorded | 68fa58891e209131ce9af110 |
| Res-Net | 0.0701 | Not recorded | 68fa58891e209131ce9af110 |

### MWT Leg

Relative L2 Error: 0.00625. Result ID: 698ba3387a967eddb77038b0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

[Implementation](<https://github.com/gaurav71531/mwt-operator>)

Recorded evaluation configuration: {"epochs":"500","convolutions":"3d","k":"3"}. This record does not assert independent reproduction.

### MWT Chb

Relative L2 Error: 0.0072. Result ID: 698ba3387a967eddb77038b1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

[Implementation](<https://github.com/gaurav71531/mwt-operator>)

Recorded evaluation configuration: {"epochs":"500","convolutions":"3d","k":"3"}. This record does not assert independent reproduction.

### FNO-3D

Relative L2 Error: 0.0086. Result ID: 698ba3387a967eddb77038b2.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

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

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

### FNO-2D

Relative L2 Error: 0.0128. Result ID: 698ba3387a967eddb77038b3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

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

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

### TF-Net

Relative L2 Error: 0.0225. Result ID: 698ba3387a967eddb77038b5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

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

### U-Net

Relative L2 Error: 0.0245. Result ID: 698ba3387a967eddb77038b4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

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

### Res-Net

Relative L2 Error: 0.0701. Result ID: 698ba3387a967eddb77038b6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa58891e209131ce9af110.md>)

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

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